... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC... ... W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY RELATIONAL MAPS AND NEUTROSOPHIC RELATION... ...600036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New M... ...dia e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gal... ...Mysore, Karnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by... ...rnataka, India. Copyright 2004 by W. B. Vasantha Kandasamy and Florentin Smarandache Layout by Kama Kandasamy. Cover design by Meena Kan... ...ena Kandasamy. Many books can be downloaded from: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm ISBN: 1-931233-86-1 ... ...re Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps (http://gallup.unm.edu/~smarandache/NCMs.pdf) and Analysis of Social Aspects of Migrant Labo... ...out his help this book would not have been possible. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE 9 Chapter One FUZZY RELATIONAL...

...Mi-a sosit, de curand, cu po~ta aeriana, 0 carte din Amcrica. Era expcdiata de Florentin Smarandache, din Phoenix. Arizona. un valcean de-al nostru din Balce~ti, fugit Inainte de revolutic prin Turcia ~i "aclimatizat" In Statele Unite. Cinc e Florentin Smarandache: profesor de matematica, aut or a pe...

...36, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexic... ... e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup,... ...ity, Atlanta, GA 30302, USA Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy.... ...ta, GA 30302, USA Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. Cover de... ...an be downloaded from this E-Library of Science: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm ISBN: 1931233-95-0 HEXIS Pu... ...of bialgebraic structures led to the invention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroupoids, bis... ... and Kama Kandasamy for formatting this book. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One BIMATRI... ...Kandasamy for formatting this book. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One BIMATRICES AND ... ...Linear Spaces, Prentice-Hall, Englewood Cliffs, NJ, 1961. 29. SMARANDACHE, Florentin, Collected Papers II, University of Kishinev Press, Kishinev, ...

.... vector spaces) form an inseparable component of each other. The study of bialgebraic structures led to the invention of new notions like birings, Smarandache birings, bivector spaces, linear bialgebra, bigroupoids, bisemigroups, etc. But most of these are abstract algebraic concepts except, the bisemigroup being used in the construction of biautomatons. So we felt it...

This book contains a collection of poems compiled by the author Florentin Smarandache.

...Ion GOlAN Ralsa GRIGOR Vasile MARIN Aorentm SMARANDACHE P I . f • • 1 Algebra In exerc;lii 1; probleme pentru lic...

This is Smarandache's Russian translation from Romanian on Algebra.

...Ion GOlAN Ralsa GRIGOR Vasile MARIN Aorentm SMARANDACHE P I . f • • 1 Algebra In exerc;lii 1; probleme pentru lic... ...ca • ~ " '21. 1 { ,.f.- II J ;.\ Ion GOlAN Raisa GRIGOR Vasile MARIN Florentin SMARANDACHE Algebra in exerciJii Ii probleme pentru liceu Mul... ... '21. 1 { ,.f.- II J ;.\ Ion GOlAN Raisa GRIGOR Vasile MARIN Florentin SMARANDACHE Algebra in exerciJii Ii probleme pentru liceu Mulfimi, oper... ...lemente de combinatorica.) Autori: Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache. Coperta: Vitalie Coroban Prepress: Centrul de Mate... ... combinatorica.) Autori: Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache. Coperta: Vitalie Coroban Prepress: Centrul de Matematica Apl... ...tematica Aplicata ~i Informatica © Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache, 2000, pentru prezenta editie. Aceasta editie a apa... ...plicata ~i Informatica © Ion Goian, Raisa Grigor, Vasile Marin, Florentin Smarandache, 2000, pentru prezenta editie. Aceasta editie a apamt in 2000...

...0036, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mex... ...a e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallu... ..., Alaska, USA. Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K.Ilanthenral Layout by Kama Kandas... ...SA. Copyright 2005 by Hexis, W. B. Vasantha Kandasamy, Florentin Smarandache and K.Ilanthenral Layout by Kama Kandasamy. Cover... ...wnloaded from the following E-Library of Science: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm ISBN: 1931233-98-5 Stand... ...rt Kosko, the father of Fuzzy Cognitive Maps. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.ILANTHENRAL 7 Chapter One ... ...the father of Fuzzy Cognitive Maps. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K.ILANTHENRAL 7 Chapter One BASIC C... ...loq. Pub., 24, Amer. Math. Soc., 1939. 4. Allen, J., S. Bhattacharya and F. Smarandache. Fuzziness and Funds allocation in Portfolio Optimization.... ...eutrosophic Logic, Neutrosophic Set, Neutrosophic Probability and Statistics, Florentin Smarandache editor, Xiquan, Phoenix, ISBN: 1-931233- 55-1, 1...

...N 1-879585-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEU... ...-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEUTROSOPHY, ... ...script from the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philo... ...m the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philosophy - re... ...ables, odds, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement ... ...s, paradoxes in creations. It was set up and led by the writer Florentin Smarandache since 1980's, who said: "The goal is to enlargement of the art... ...s) have been published, plus 3 national and international anthologies." (Florentin Smarandache) 2.4. Features of Paradoxism (by Florentin Smaranda... ...een published, plus 3 national and international anthologies." (Florentin Smarandache) 2.4. Features of Paradoxism (by Florentin Smarandache) # Ba... ...American speech of Tomorrow?)... [From the book: NonPoems, by Florentin Smarandache, Xiquan Publishing House, Phoenix, Chicago, 1991, 1992, 1993; ...

...allup 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIO... ... 1-3 December 2001 (second printed edition) FLORENTIN SMARANDACHE editor PROCEEDINGS OF THE FIRST INTERNATIONAL CONFE... ...co Contributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Ga... ...ntributed papers were sent, by November 30, 2001, to the organizer: Florentin Smarandache, University of New Mexico, 200 College Road, Gallup, NM 8... ...Neutrosophic Conference). E-mail: smarand@unm.edu, http://www.gallup.unm.edu/~smarandache/FirstNeutConf.htm. A selection of them is being published... ...trosophics see the below links: • 0. Introduction: http://www.gallup.unm.edu/~smarandache/Introduction.PDF • 1. Neutrosophy - a new branch of philo... ...PDF • 1. Neutrosophy - a new branch of philosophy: http://www.gallup.unm.edu/~smarandache/Neutrosophy.PDF • 2. Neutrosophic Logic - a unifying fiel... ...ophic Logic, Neutrosophic Set, and Neutrosophic Probability and Statistics) Florentin Smarandache Department of Mathematics University of New Me... ...nal Journal of Intelligent Systems, Vol. I, 155-179, 1986. [39] Smarandache, Florentin, Α Unifying Field in Logics: Neutrosophic Logic. / Neutrosop...

...6, India e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico... ...e-mail: vasantha@iitm.ac.in web: http://mat.iitm.ac.in/~wbv Florentin Smarandache Department of Mathematics University of New Mexico Gallup, ... ...sore, Karnataka, India. Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. ... ...ataka, India. Copyright 2005 by W. B. Vasantha Kandasamy, Florentin Smarandache and K. Ilanthenral Layout by Kama Kandasamy. Cover des... ...andasamy. Many books can be downloaded from: http://www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm ISBN: 1931233-97-7 ... ...LICATION 4.1 Some basic neutrosophic algebraic structures 131 4.2 Smarandache neutrosophic linear bialgebra 170 4.3 Smarandache representa... ...trosophic linear bialgebra 170 4.3 Smarandache representation of finite Smarandache bisemigroup 174 4.4 Smarandache... ...ent in every manner made this book possible. W.B.VASANTHA KANDASAMY FLORENTIN SMARANDACHE K. ILANTHENRAL 7 Chapter One I... ...c linear bialgebra. 132 The notion of neutrosophic logic was created by Florentin Smarandache which is an extension / combination of the fuzzy lo...

...to applications. With the recent introduction of bimatrices (2005) we have ventured in this book to introduce new concepts like linear bialgebra and Smarandache neutrosophic linear bialgebra and also give the applications of these algebraic structures....

... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ...downloaded free from the E-library of Science: http://www.gallup.unm.edu/ smarandache ISSN: 1555-5534 (print) ISSN: 1555-5615 (online) Standard Addre... ...New Method to Measure the Speed of Gravitation. . . . . . . . . . . . 3 F. Smarandache Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes. . . 7 F.... ...marandache Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes. . . 7 F. Smarandache A New Form of Matter — Unmatter, Composed of Particles and Anti... ...ropy of Space. . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 F. Smarandache There Is No Speed Barrier for a Wave Phase Nor for Entang- led ... ... IN PHYSICS Volume 1 Quantum Quasi-Paradoxes and Quantum Sorites Paradoxes Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ... A New Form of Matter — Unmatter, Composed of Particles and Anti-Particles Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...y” (Tucson, Arizona), February 18, 2005. The authors are grateful to Prof. Florentin Smarandache for his assistance and Stephen J. Crothers for some e...

... Chief Editor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yaho... ...tor Dmitri Rabounski rabounski@yahoo.com Associate Editors Prof. Florentin Smarandache smarand@unm.edu Dr. Larissa Borissova lborissova@yahoo.com Step... ...downloaded free from the E-library of Science: http://www.gallup.unm.edu/ smarandache ISSN: 1555-5534 (print) ISSN: 1555-5615 (online) Standard Addre... ...s. . . . . . . . . . . . . . . . . . . . 92 D. Rabounski, L. Borissova, F. Smarandache Quantum Causality Threshold in the General Theory of Relativity... ...ll, C. M. Klinger Bootstrap Universe from Self-Referential Noise. . 108 F. Smarandache Verifying Unmatter by Experiments, More Types of Unmatter, and ... ...d in the General Theory of Relativity Dmitri Rabounski, Larissa Borissova, Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C... ...eneral Theory of Relativity Dmitri Rabounski, Larissa Borissova, Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 College Roa... ... Experiments, More Types of Unmatter, and a Quantum Chromodynamics Formula Florentin Smarandache Dept. of Mathematics, University of New Mexico, 200 C...

...n the Number Theory .82 -- Contributii la Studiul unor Functii §i Conjecturi in Teoria Numerelor .85 -- "The Function that You Bear its Name" .112 -- Smarandache Type Functions Obtained by Duality .113 -- Func!;ii Analitice .129 -- Funct;ii Prime §i Coprime .137 -- Asupra unor Conjecturi §i Probleme Nerezolvate Referitoare la 0 Funct;ie in Teoria l'\umerelor 138 -- K-Divis...

...ADVENTURE How to Break the Light Barrier by A.D. 2070 Homer B. Tilton Florentin Smarandache 2 To the memory of Benjamin E. Tilton (1876-... ... How to Break the Light Barrier by A.D. 2070 Homer B. Tilton Florentin Smarandache 2 To the memory of Benjamin E. Tilton (1876-1955), a c... ...ooks can be downloaded from the E-Library of Science: www.gallup.unm.edu/~smarandache/eBooks-otherformats.htm Production Editor Gloria Valles ... ...tment of Mathematics and Engineering Pima Community College, EC, USA Florentin Smarandache Department of Mathematics and Sciences The Universi... ...athematics and Engineering Pima Community College, EC, USA Florentin Smarandache Department of Mathematics and Sciences The University of New ... ...d deals with the transfer of information over large distances. Dr. Florentin Smarandache Associate Professor The University of New Mexico ... ...th the transfer of information over large distances. Dr. Florentin Smarandache Associate Professor The University of New Mexico at Gallup ... ...hers have also concluded there is no light barrier but for other reasons. Smarandache: [3] "There is no speed barrier in the universe." His reasonin... ... is real. To one riding on the charge it has no magnetic field. [3] Florentin Smarandache, There is no Speed Barrier in the Universe, Bulletin ...