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...n developing quantum error-correcting codes. Many code construction are given. Reference [1] gives a thorough discussion of the principles of quantum coding theory. Many good quantum error-correcting codes were constructed from BCH codes, Reed-Muller codes, Reed-Solomon codes and algebraic geometric codes, see [2-6]. So it is natural to construct quantum error-correcting c...

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...Fuzzy theory is one of the best tools to analyze data, when the data under study is an unsupervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indete...

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...NCES 290 INDEX 312 ABOUT THE AUTHORS 316 5 Preface Fuzzy theory is one of the best tools to analyze data, when the data under s... ...pervised one, involving uncertainty coupled with imprecision. However, fuzzy theory cannot cater to analyzing the data involved with indeterminacy.... ...l women in Tamil Nadu. Chapter 2 is an analysis of the situation using fuzzy theory in general and Fuzzy Relational Maps (FRM) in particular. The F... ... of the nodes/ concepts. In Chapter 4 for the first time we use neutrosophic theory in general and neutrosophic relational maps (NRM) in particular... ...ing adjectives “supervised” and “unsupervised” stem from pattern recognition theory. The distinction depends on whether the learning algorithm uses... ...er current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eight ... ...Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications o...

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...Matrix theory has been one of the most utilised concepts in fuzzy models and neutrosophic models. From solving equations to characterising linear transformations or linear operators, matrices are used. Matrices find their applicat...

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... INDEX 175 ABOUT THE AUTHORS 181 5 Preface Matrix theory has been one of the most utilised concepts in fuzzy models and ne... ...eral real models. In fact it is not an exaggeration if one says that matrix theory and linear algebra (i.e. vector spaces) form an inseparable compo... ...the study of bimatrices for a while in order to develop some aspects of the theory of determinants which will be needed in our further investigatio... ... SUGGESTED PROBLEMS Now as such this book only views bimatrix as a theory. In fact several more results about bimatrices can also be devel... .... Cambridge Philos. Soc., 31 (1935) 433-435. 6. BURROW, M., Representation Theory of Finite Groups, Dover Publications, 1993. 7. DUBREIL, P., and ... ... current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eight Ph... ....D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of ...

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...OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY THEORY AND NEUTROSOPHIC COGNITIVE MAPS With Specific Reference To Rura... ... OF SOCIAL ASPECTS OF MIGRANT LABOURERS LIVING WITH HIV/AIDS USING FUZZY THEORY AND NEUTROSOPHIC COGNITIVE MAPS With Specific Reference To Rura... ... are used in the study of the problem. In chapter III yet another fuzzy theory technique namely the bi-directional associative memories is used in... ...em. In Chapter IV we first just recall some basic notions of neutrosophic theory, neutrosophic cognitive maps that are utilized in the analysis of t... ...tive to the vulnerability of being affected by HIV/AIDS, using both fuzzy theory and neutrosophy theory. We use the fuzzy models like relational ma... ...urrent interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eight Ph.D... .... scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fu...

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...The algebraic structure, linear algebra happens to be one of the subjects which yields itself to applications to several fields like coding or communication theory, Markov chains, representation of groups and graphs, Leontief economic models and so on. This book has for the first time, introduced a new algebraic structure called linear bialgebra, which is...

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...f the subjects which yields itself to applications to several fields like coding or communication theory, Markov chains, representation of groups a... ...elds itself to applications to several fields like coding or communication theory, Markov chains, representation of groups and graphs, Leontief econ... ...in this direction. 1.3.2 Smarandache Leontief economic models Matrix theory has been very successful in describing the interrelations between ... ...ween the industries in the economy 32 under considerations. Using matrix theory we evaluate certain parameters. The basic equations of the input-... ...entation existing between members of a set introduced, we have studied the theory of directed graphs to mathematically model the types of sets and r... ... Now for the first time we give the results of bimatrices in the field of coding theory. Very recently we have defined the notion of bicodes here w... ...tions of pseudo best approximation have been carried out in (2005) [50] to coding theory. We just recall the definition of pseudo-best approximation... ...ANDASAMY and THIRUVEGADAM, N., Application of pseudo best approximation to coding theory, Ultra Sci., 17 , 139-144, 2005. 51. VASANTHA KANDASAMY an... ...current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided nine Ph.D...

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...In this book, we study the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that challenged the status quo of existing mathematics. The genesis of Smarandache Notions, a field founded by Florentine Smarandache, is alike to that of Fuzzy ...

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.... In its trajectory of stupendous growth, it has also come to include the theory of fuzzy algebra and for the past five decades, several researchers... ...y the subject of Smarandache Fuzzy Algebra. Originally, the revolutionary theory of Smarandache notions was born as a paradoxist movement that chall... ...ns, a field founded by Florentine Smarandache, is alike to that of Fuzzy Theory: both the fields imperatively questioned the dogmas of classical ma... ...eing assigned a value between 0 and 1 by a membership function. Fuzzy set theory was guided by the assumption that classical sets were not natural, ... ...eld [112] introduced the notion of fuzzy group and showed that many group theory results can be extended in an elementary manner to develop the theor... ...current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has completed guidanc... .... scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fu...

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...introduction of neutrosophic theory has put forth a significant concept by giving representation to indeterminates. Uncertainty or indeterminacy happen to be one of the major factors in almost all real-world problems. When uncertainty is modeled we use f...

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...eutrosophic Vector spaces 8 Chapter Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATION TO FUZZY MODELS 2.1 Some basics on Gr... ...ophic algebraic structures is very recent. The introduction of neutrosophic theory has put forth a significant concept by giving representation to i... ...n almost all real-world problems. When uncertainty is modeled we use fuzzy theory and when indeterminacy is involved we use neutrosophic theory. Mo... ... further development of the other chapters. Chapter Two recalls basic graph theory definitions and results which has interested us and for which we ... ...al Maps. 13 Chapter Two SOME BASIC RESULTS ON GRAPH THEORY AND THEIR APPLICATIONS TO FUZZY MODELS In this chapter we re... ... current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eight Ph... ....D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of ...

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...This work covers a substantial mosaic of related concepts in utility theory as applied to financial decision-making. It reviews some of the classical notions of Benthamite utility and the normative utility paradigm offered by the von Neumann-Morgenstern expected utility theory; exploring its m...

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...iness, Bond University for his thoughtful insights on some of the utility theory constructs. The author also feels indebted to a large extent to his ... ... This work covers a substantial mosaic of related concepts in utility theory as applied to financial decision-making. It reviews some of the cla... ... utility paradigm offered by the von Neumann-Morgenstern expected utility theory; exploring its major pitfalls before moving into what is postulated ... ...nd not always explicable using the known rules of statistical probability theory. 10 Individuals often have very distorted perceptions of ... ...n terms of the expected information content of the total portfolio. 4.6 Coding of financial structured product information Extending the e... ...ting sources). Transmission of information calls for some kind of coding. Coding may be defined as a mapping of words from a source alphabet... ...ong asset at the wrong time. 82 4.7 Relevance of Shannon-Fano coding to structured product information transmission By the well-... ...ry encoding. For block codes, l i = l for i = 1, 2 … n. As per Shannon’s coding theorem, it is possible to encode all sequences of n message intege... ... inequality occurs if and only if p i ≠ 2 –li . Though the Shannon- Fano coding scheme is not strictly the most efficient, it has the advantage of d...

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...Over the past 25 years, I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (Srings) specially to motivate both ring theorists and Smarandache algebraists to develop and study several important and innovative properties about S-rings. Writi...

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...ine.com Peer reviewers: Ion Goian, Department of Algebra and Number Theory, University of Kishinev, Moldova. Sebastian Martin Ruiz, Avda. De ... ...I have been immersed in research in Algebra and more particularly in ring theory. I embarked on writing this book on Smarandache rings (S- rings) spe... ...etter if we thrust importance on results given in research papers on ring theory rather than detail the basic properties or classical results that t... ...gs are given. As we expect the reader to have a strong background in ring theory and algebra we have recollected for ready reference only the basic ... ...s a collection of suggested problems and it contains 200 problems in ring theory and Smarandache ring theory. It is pertinent to mention here that so... ...current interests include Smarandache algebraic structures, fuzzy theory, coding/communication theory. In the past decade she has guided seven Ph.D.... .... scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fu...

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...roduced in the year 2002. The concept of bialgebraic structures which we define and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebraic structures using category theory or linear logic....

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...ine and study are slightly different from the bistructures using category theory of Girard's classical linear logic. We do not approach the bialgebr... ...inear logic. We do not approach the bialgebraic structures using category theory or linear logic. We can broadly classify the study under four he... ... o(G), then G has an element of order p. For more results about group theory please refer [23 & 27]. Now we proceed on to recall some basic conc... ...X or y ∈ X. Several other notions can be had from any textbook on ring theory. We just define two types of special rings viz group rings and semi... ...generates (N, +) is called a distributively generated near-ring. In the theory of near-rings a major role is played by the notion called N-groups. ... ...current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has completed guidanc... .... scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fu...

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...roup and a semigroup simultaneously. This book is a piece of work on Smarandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its properties just for quick reference....

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...liminary results 14 2.4 Subgroups 15 3. Some Classical Theorems in Group Theory 3.1 Lagrange's Theorem 21 3.2 Cauchy's Theorems 22 3.3 ... ...marandache semigroups and assumes the reader to have a good background on group theory; we give some recollection about groups and some of its proper... ...e used in this book. Chapters 2 and 3 gives most of the basic concepts on group theory and results in group theory which have been used in this text... ...rch on Smarandache notions. Smarandache notions are revolutionary because group theory does not make one think of the unthinkable that can naturally... ...see that the chapters two and three give most of the relevant concepts in group theory for which we have studied the Smarandache notions. In these t... .... Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided seve... ...n Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications...

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...y. This book assumes that the reader should have a good background of algebraic structures like semigroup, group etc. and a good foundation in number theory....

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...lgebraic structures like semigroup, group etc. and a good foundation in number theory. In Chapter 1 we just recall the basic notations and some imp... ...nger Verlag, (1958). 2. Ivan Nivan and H.S.Zukerman, Introduction to number theory, Wiley Eastern Limited, (1989). 3. W.B. Vasantha Kandasamy, ... ...d Kama. Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guide... ...Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided seven ... ...Ph.D. scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications o... ...cholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fuzzy...

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...nd it informed which theories would be included in this present book and their respective order of their presentation. When we have assessed each theory and evolutionary concept in the light of our most up-to-date understanding of biological complexity, we should not only have an overarching model by which to test and assess the fossil record – the main topic of Book T...

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...IONARY SCALING LAWS OF LIFE The Matryoshka Principle CHAPTER TWO Alan Mathison Turing (1912-1954) THE TURING ENIGMA Morphogenesis and the other coding system of life CHAPTER THREE Alexander Graham Cairns-Smith Turing (Born 1931) THE POSSIBLE ORIGINS OF NATURE’S FIRST CRYSTALINE (QUANTUM) COMPUTERS CHAPTER FOUR Karl Ernst Von Baer (1792-1876) EMBRYOLOGICAL DEV...

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...se two algebras heavily exploits the concepts of vector spaces and matrix theory we do not venture to approach Smarandache Lie algebras or Smarandac... ... way. This book is distinct and different from other non-associative ring theory books as the properties of associative rings are incorporated and s... ...oncept of orthogonal ideals. This notion will find its place in algebraic coding theory. Now we proceed on to define the concept of Smarandache orth... ...of orthogonal ideals. This notion will find its place in algebraic coding theory. Now we proceed on to define the concept of Smarandache orthogonal ... ...tive and new concepts and notions which can be developed into a very good theory. 5.1 Basic properties of Jordan Algebras In this section w... ...we can certainly see that the groupoid rings will find its application in coding theory. The final thing of importance is that in this book we hav... ...ndache. 3. Finally the loop rings can be used in the study of algebraic coding theory. Several of the properties studied for group rings can be ... ...en provided. Finally these will find its main application in algebraic coding theory, which is a very fast developing area of research. So when S... ...lude Smarandache algebraic structures, fuzzy theory, neutrosophic theory, coding/ communication theory. In the past decade she has guided seven Ph.D...

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...ntion here that the Neutrosophic logic is a further generalization of the theory of Fuzzy Logic. In this book we study the concepts of Fuzzy Cogn... ...Fuzzy Visions of Society and Science in the Digital Age writes that fuzzy theory can offer more choices and blur the hard lines of power that define... ...f our age. We have, in our effort at introducing indeterminacy into Fuzzy theory, and by our construction of neutrosophic structures of modeling, on... ...ting to these concepts. An almost exhaustive bibliography relating to the theory of FCMs completes the book. Some of the varied applications of F... ...le infanticide; depression in terminally ill patients and finally, in the theory of community mobilization and women empowerment relative to the AID... ...vut.cz/lab/publikace/30/Vys98_11.doc 134. Wrightson, M.T. The Documentary Coding Method in R. Axelrod ed., Structure of Decision: The Cognitive Maps... ...current interests include Smarandache algebraic structures, fuzzy theory, coding / communication theory. In the past decade she has guided seven Ph.... .... scholars in the different fields of non-associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications of fuz...

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...bigraph will prove a major role in the applications of bimodels both in fuzzy theory and neutrosophic theory. Finally we give the matrix represen... ...that gives the hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data 76 depends on, th... ...ps will also be directed neutrosophic graphs. It is no coincidence that graph theory has been independently discovered many times since it may quite... ...bject finds its place in the work of Euler. Subsequent rediscoveries of graph theory were by Kirchhoff and Cayley. Euler (1707-1782) became the fath... ...y were by Kirchhoff and Cayley. Euler (1707-1782) became the father of graph theory as well as topology when in 1736 he settled a famous unsolved p... ...i.cvut.cz/lab/publikace/30/Vys98_11.doc 182. Wrightson, M.T. The Documentary Coding Method in R. Axelrod ed., Structure of Decision: The Cognitive ... ...er current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided nine P... ...Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications o...

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...ivity of their offerings by making their own servers more open to third-party coding? Some networks’ mainframes permitted an area in which subscribers ... ... our endpoint devices can possess varying levels of accessibility to outside coding. Where they are found along that spectrum creates certain basic tr... ...ativity, but it lacks accessibility. 11 The Generative Pattern 77 Affordance Theory Fields such as psychology, industrial design, and human-computer i... ...ble options are as obvious and inviting as possible to the intended users. A theory of affordances can also be used to predict what various people migh... ...he damage that they can inadvertently do. Yet unlike generativity, affordance theory does not focus much on systemic output. Instead, it takes one obje... ... and delineates its possible or likely uses. More recent incarnations of the theory suggest that the object’s designer ought to anticipate its uses an... ...ely disclosed, making the programming platform difficult to master. Often, the coding must be written for a “virtual machine” that bars access to many o... ...uiding. They can also immerse themselves in artistic invention or soft- ware coding. Famed utilitarian John Stuart Mill may have believed in the great... ... artistic expression because the accessibility of the PC and the Internet to coding by a variety of technically capable groups has translated to a num...

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...arger family of mind comprising the whole of the artistic modernism, in a theory of creation that could explain the fields of activity. For this rea... ...n this way the metalinguistic possibilities of communication. Then, in the theory of the paradoxes, as we can see, we leap in continually from a para... ...of the third part. The classical binomial becomes a trinitarian antinomy (theory appreciated by this other theorist of the paradox, Solomon Marcus: ... ...absence of paradox was considered as their state of welfare”). Lupasco’s theory explains the combinative propensity of the paradox and the illimita... ...o fold expectancy and the inexpressible. And so, in front of the notorious theory of the untranslatable nature of poetry, of the impossibility of an ... ... modernism stands under the sign of the difficulty. The too many abstruse coding obscure the things. The institution of a world before the destructio...

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...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ... of the natural evolution of genetics. GAs emulate the biological evolutionary theory to solve optimization problems. In general, 50 GAs start... ...upervised by a superpoint and supervised by another parent. Since the existing theory of genetic algorithms cannot provide measurement for the perf... ... been studied by many researchers [32, 40, 92]. Their results are useful in the theory of FREs. As previously explained, the union-intersection comp... ... Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eigh... ...t Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications...

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...S patients 211 Chapter Three SOME NEW AND BASIC DEFINITIONS ON NEUTROSOPHIC THEORY 3.1 Neutrosophic sets and neutrosophic logic 222 3.2 Fuzzy... ...nalysis of Social Aspects of Migrant Labourers Living With HIV/AIDS Using Fuzzy Theory and Neutrosophic Cognitive Maps: With Specific Reference to R... ... of the natural evolution of genetics. GAs emulate the biological evolutionary theory to solve optimization problems. In general, 50 GAs start... ...upervised by a superpoint and supervised by another parent. Since the existing theory of genetic algorithms cannot provide measurement for the perf... ... been studied by many researchers [32, 40, 92]. Their results are useful in the theory of FREs. As previously explained, the union-intersection comp... ... Her current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided eigh... ...t Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications...

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... sound so good. Patents, by contrast, keep the knowledge public, at least in theory; 3 you must describe it to own it.) And again, decisions about the... ... could turn to the cutting edge of technology or to economics or information theory. But none of those would be as useful a starting place as a letter... ... one of the supporters of copyright extension declared that it was merely “a theory” that monopoly makes things expensive. Macaulay agrees, tongue in ... ... monopoly makes things expensive. Macaulay agrees, tongue in cheek. “It is a theory in Chapter 2 22 -1 ___ 0 ___ 1 ___ 37278_u01.qxd 8/28/08 11:04 A... ..._ 37278_u01.qxd 8/28/08 11:04 AM Page 22 the same sense in which it is a theory, that day and night follow each other, that lead is heavier than w... ...4, the Registry contained about 100 basic parts such as opera- tors, protein coding regions, and transcriptional terminators, and devices such as logi... .... Dobb’s Journal. Will the argument for copyrights over synthetic biological coding be “I need the property right so I can create a commons”? In pract... ...nd should be, no. Of course, one could think of this as just another type of coding, making expressive choices in a code of A’s, C’s, G’s, and T’s, ju... ...programming with gene sequences will probably raise hackles that the idea of coding inside a pro- gramming language never would. As a normative matter...

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...anctity of Human Life" by Baruch A. Brody). One form of calculus is the utilitarian theory. It calls for the maximization of utility (life, happines... ...es. Despite strong philosophical objections to some of the premises of utilitarian theory - I agree with its practical prescriptions. In this cont... ...or falsified. Attaining an achievement involves the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructe... ...at the incentives are. That economists pretend otherwise - in "optimal contracting theory" - just serves to demonstrate how divorced economics is f... ...blanket defiance of everything modern introduces insoluble contradictions into the theory and practice of late twentieth century anarchism. Indee... ...eate copies of themselves every time their "web address" (URL) is clicked. The HTML coding of a web page can be thought of as "genetic material". It...

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...anctity of Human Life" by Baruch A. Brody). One form of calculus is the utilitarian theory. It calls for the maximization of utility (life, happines... ...es. Despite strong philosophical objections to some of the premises of utilitarian theory - I agree with its practical prescriptions. In this cont... ...or falsified. Attaining an achievement involves the construction of an ad-hoc mini theory. Reality has to be thoroughly surveyed, models constructe... ...at the incentives are. That economists pretend otherwise - in "optimal contracting theory" - just serves to demonstrate how divorced economics is f... ...blanket defiance of everything modern introduces insoluble contradictions into the theory and practice of late twentieth century anarchism. Indee... ...eate copies of themselves every time their "web address" (URL) is clicked. The HTML coding of a web page can be thought of as "genetic material". It...

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...ears later did a scientist in the West propose a different explanation—the theory of genetics. (Even so, many intelligent thinkers in the East believe... ...than in most religious traditions. In his remarkable application of Jung’s theory of psychological types to the classification of religions, Toynbee s... ... carefully worded and made into creeds. In Toynbee’s application of Jung’s theory of psy- chological types, Christianity is defined as an extroverted,... ... which the quotations above have been taken, Carl Jung was formulating his theory of complexes, which had grown out of detailed observations of a youn... ...ut of detailed observations of a young spiritualist medium. Jung found his theory of complexes to be of great value in application to many forms of un... ...ng center in the psyche, all analogy on the psychological level to the DNA coding which controls the nature and develop- ment of the physical body. Ju...

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...is case be more readily tolerated as a marginal phenomenon. This is the theory. But the facts are tellingly different. The less the cost of product... ...is not the main function of the advertising dollar. Modern economic signal theory has cast advertising in a new and surprising - though by no means c... ...prising - though by no means counterintuitive - light. According to this theory, the role of advertising is to signal to the marketplace the adverti... ...g on the message. Many messages now include HTML, JavaScript, and ActiveX coding and thus resemble viruses. Jupiter Media Matrix predicted last yea... ... (CEE). Broadband and e-commerce are distant rumors (ISDN is available in theory but not so in practice - DSL and ADSL are not available at all). Ra... ...ublic). Luckily, mobile telephony - the other pillar of the leapfrogging theory - is getting increasingly concentrated in the hands of fewer operat... ...s of themselves every time their "web address" (URL) is clicked. The HTML coding of a web page can be thought of as "genetic material". It contains ... ...s of themselves every time their "web address" (URL) is clicked. The HTML coding of a web page can be thought of as "genetic material". It contains ...

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... untouchability and the caste-system of Hinduism using Fuzzy and Neutrosophic theory. In studying untouchability, we have chosen to view it throug... ...te is based on the 8 mind, it is appropriate to use Fuzzy and Neutrosophic theory. In Chapter Two we use the opinion of several experts to anal... ...that gives the hidden pattern of the situation. As we have a very well known theory, which states that the strength of the data depends on, the num... ...ons will be illustrated/ applied in the later sections of this chapter. Fuzzy theory only measures the grade of membership or the non-existence of a... ...rship or the non-existence of a membership in the revolutionary way but fuzzy theory has failed to attribute the concept when the relations between ... ...er current interests include Smarandache algebraic structures, fuzzy theory, coding/ communication theory. In the past decade she has guided nine P... ...Ph.D. scholars in the different fields of non- associative algebras, algebraic coding theory, transportation theory, fuzzy groups, and applications o...

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...r he went right straight out to the post-office and spent several hours in coding a telegram to his solicitor, bidding that hard-headed man to threate... ...ions were entirely collective, his wife was a sheer individualist. His own theory—the feudal theory of an over-lord doing his best by his dependents, ... ...endents, the dependents meanwhile doing their best for the over -lord—this theory was entirely foreign to Leonora’s nature. She came of a family of sm... ...d a very bad time. She had at that period what I will call the “monstrous” theory of Edward. She was always imagining him ogling at every woman that h...