Neutrosophic Logic A Generalization Of The Intuitionistic Fuzzy Logic
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Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 7 |
Release | : |
Genre | : |
ISBN | : |
In this paper one generalizes the intuitionistic fuzzy logic (IFL) and other logics to neutrosophic logic (NL). The differences between IFL and NL (and the corresponding intuitionistic fuzzy set and neutrosophic set) are pointed out.
Author | : Florentin SMARANDACHE |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : |
Genre | : |
ISBN | : |
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 10 |
Release | : 2010-08-23 |
Genre | : Mathematics |
ISBN | : |
In this paper one generalizes the intuitionistic fuzzy set (IFS), paraconsistent set, and intuitionistic set to the neutrosophic set (NS). Many examples are presented. Distinctions between NS and IFS are underlined.
Author | : Haibin Wang |
Publisher | : Infinite Study |
Total Pages | : 99 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 1931233942 |
This book presents the advancements and applications of neutrosophics, which are generalizations of fuzzy logic, fuzzy set, and imprecise probability. The neutrosophic logic, neutrosophic set, neutrosophic probability, and neutrosophic statistics are increasingly used in engineering applications (especially for software and information fusion), medicine, military, cybernetics, physics.In the last chapter a soft semantic Web Services agent framework is proposed to facilitate the registration and discovery of high quality semantic Web Services agent. The intelligent inference engine module of soft semantic Web Services agent is implemented using interval neutrosophic logic.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 4 |
Release | : |
Genre | : |
ISBN | : |
In this paper we present a short history of logics: from particular cases of 2-symbol or numerical valued logic to the general case of n-symbol or numerical valued logic. We show generalizations of 2-valued Boolean logic to fuzzy logic, also from the Kleene’s and Lukasiewicz’ 3-symbol valued logics or Belnap’s 4-symbol valued logic to the most general n-symbol or numerical valued refined neutrosophic logic. Two classes of neutrosophic norm (n-norm) and neutrosophic conorm (n-conorm) are defined. Examplesof applications of neutrosophic logic to physics are listed in the last section. Similar generalizations can be done for n-Valued Refined Neutrosophic Set, and respectively n-Valued Refined Neutrosopjhic Probability..
Author | : Krassimir T. Atanassov |
Publisher | : Physica |
Total Pages | : 336 |
Release | : 2013-03-20 |
Genre | : Mathematics |
ISBN | : 3790818704 |
In the beginning of 1983, I came across A. Kaufmann's book "Introduction to the theory of fuzzy sets" (Academic Press, New York, 1975). This was my first acquaintance with the fuzzy set theory. Then I tried to introduce a new component (which determines the degree of non-membership) in the definition of these sets and to study the properties of the new objects so defined. I defined ordinary operations as "n", "U", "+" and "." over the new sets, but I had began to look more seriously at them since April 1983, when I defined operators analogous to the modal operators of "necessity" and "possibility". The late George Gargov (7 April 1947 - 9 November 1996) is the "god father" of the sets I introduced - in fact, he has invented the name "intu itionistic fuzzy", motivated by the fact that the law of the excluded middle does not hold for them. Presently, intuitionistic fuzzy sets are an object of intensive research by scholars and scientists from over ten countries. This book is the first attempt for a more comprehensive and complete report on the intuitionistic fuzzy set theory and its more relevant applications in a variety of diverse fields. In this sense, it has also a referential character.
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 157 |
Release | : 2005 |
Genre | : Mathematics |
ISBN | : 1599730804 |
N-Norm and N-conorm are extended in Neutrosophic Logic/Set.
Author | : Florentin Smarandache |
Publisher | : |
Total Pages | : 110 |
Release | : 1998 |
Genre | : Mathematics |
ISBN | : |
Author | : Florentin Smarandache |
Publisher | : Infinite Study |
Total Pages | : 143 |
Release | : 2017-10-01 |
Genre | : Mathematics |
ISBN | : |
We introduce for the first time the concept of plithogeny in philosophy and, as a derivative, the concepts of plithogenic set / logic / probability / statistics in mathematics and engineering – and the degrees of contradiction (dissimilarity) between the attributes’ values that contribute to a more accurate construction of plithogenic aggregation operators and to the plithogenic relationship of inclusion (partial ordering).
Author | : Charles Ashbacher |
Publisher | : Infinite Study |
Total Pages | : 144 |
Release | : 2014-05-14 |
Genre | : Mathematics |
ISBN | : |
Neutrosophic Logic was created by Florentin Smarandache (1995) and is an extension / combination of the fuzzy logic, intuitionistic logic, paraconsistent logic, and the thre evalued logics that use an indeterminate value.