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A Unifying Field in Logics : Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability

By: Florentin Smarandache

...N 1-879585-76-6 American Research Press Rehoboth 1999, 2000, 2003 FLORENTIN SMARANDACHE A UNIFYING FIELD IN LOGICS: NEUTROSOPHIC LOGIC. NEU... ...script from the mathematician, experimental writer and innovative painter Florentin Smarandache, especially because the treated subject was of philo... ...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 ... ...art of a National Science Foundation grant proposal for Interdisciplinary Logical Sciences. 1.2. Neutrosophy, a New Branch of Philosophy A) Etymo... ...etting all possible states from <P> to <Non-P> until <Anti-P>. And, as a consequence, for any two propositions <M> and <N>, there exist two referen... ...And, later, others will reinstall it back... Consequently, philosophy is logically necessary and logically impossible. Agostoni Steuco of Gubbio w... ...es to interpret each notion or theory by tracing its respective practical consequences". We mean to know reality through thought, and thought throug... ...y propositions (theorems, lemmas, etc.) (p 1 ), (p 2 ), ..., (p m ), by logical combinations of its axioms. Developing [C], we find all proposit... ...eterminacy, not only <good> or only <bad> - with rare exceptions, if its consequence is G% happiness (pleasure). In this case the action is G%-usef...

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Fuzzy Cognitive Maps and Neutrosophic Cognitive Maps

By: W. B. Vasantha Kandasamy and Florentin Smarandache

...W. B. VASANTHA KANDASAMY FLORENTIN SMARANDACHE FUZZY COGNITIVE MAPS AND NEUTROSOPHIC COGNITIV... ...ology, Madras Chennai – 600036, India E-mail: vasantha@iitm.ac.in Florentin Smarandache Department of Mathematics University of New Mexico ... ...ersity, Australia. Copyright 2003 by W. B. Vasantha Kandasamy, Florentin Smarandache, and Xiquan, 510 E. Townley Ave., Phoenix, AZ 85020,... ...trongly resemble neural networks, and they have powerful and far-reaching consequences as a mathematical tool for modeling complex systems. Prof. Ba... ... this stimulus input vector with FCM matrix, K.C. Lee et al [65] obtain a consequence vector as follows: (0, 0, 0, 0, 0.3, 0, – 0.3, 0.5) × FCM ma... ...3, 0, – 0.3, 0.5) × FCM matrix = (– 0.5, 0, 0.24, 0, – 0.08, 0, 0). The consequence vector may be interpreted such that changes in those three fact... ...∩ M j ) ⊂ ( ~ Q j ∩ M j ). Here “⊂” stands for fuzzy set inclusion (logical implication). For brevity, fuzzy causal relationship is abbreviate... ...ity, fuzzy causal relationship is abbreviated as FCR in the following. Logical implication has an antecedent (or premise) and a consequent (or con... ...t (or premise) and a consequent (or conclusion). A typical example of the logical implication is “If A, then B”. In the logical implication, there a...

...origin, nature and scope of neutralities, as well as their interactions with different ideational spectra. This was introduced by one of the authors, Florentin Smarandache. A few of the mentionable characteristics of this mode of thinking are [90-94]: It proposes new philosophical theses, principles, laws, methods, formulas and movements; it reveals that the world is full ...

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