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Fuzzy mathematics information


Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a spectrum, as opposed to simple binary "yes" or "no" (0 or 1) inclusion. It started in 1965 after the publication of Lotfi Asker Zadeh's seminal work Fuzzy sets.[1] Linguistics is an example of a field that utilizes fuzzy set theory.

  1. ^ Zadeh, L. A. (1965) "Fuzzy sets", Information and Control, 8, 338–353.

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Fuzzy mathematics

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Fuzzy mathematics is the branch of mathematics including fuzzy set theory and fuzzy logic that deals with partial inclusion of elements in a set on a...

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Fuzzy logic

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Fuzzy models or fuzzy sets are mathematical means of representing vagueness and imprecise information (hence the term fuzzy). These models have the capability...

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Fuzzy set

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In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi...

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Fuzzy concept

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represent fuzzy concepts mathematically, using fuzzy logic, fuzzy values, fuzzy variables and fuzzy sets. Problems of vagueness and fuzziness have probably...

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Fuzzy measure theory

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In mathematics, fuzzy measure theory considers generalized measures in which the additive property is replaced by the weaker property of monotonicity....

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Fuzzy differential equation

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Fuzzy differential equation are general concept of ordinary differential equation in mathematics defined as differential inclusion for non-uniform upper...

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Fuzzy control system

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A fuzzy control system is a control system based on fuzzy logic—a mathematical system that analyzes analog input values in terms of logical variables that...

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Fuzzy relation

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A fuzzy relation is the cartesian product of mathematical fuzzy sets. Two fuzzy sets are taken as input, the fuzzy relation is then equal to the cross...

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List of Shia Muslims

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Lotfi Asker Zadeh – Iranian computer scientist; founder of fuzzy mathematics and fuzzy set theory. Cumrun Vafa – Iranian-American theoretical physicist...

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Fuzzy set operations

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called standard fuzzy set operations; they comprise: fuzzy complements, fuzzy intersections, and fuzzy unions. Let A and B be fuzzy sets that A,B ⊆ U...

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Glossary of areas of mathematics

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with spectral theory Fuzzy mathematics a branch of mathematics based on fuzzy set theory and fuzzy logic. Fuzzy measure theory Fuzzy set theory a form of...

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Baku

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Zadeh, artificial intelligence researcher, founder of fuzzy mathematics, fuzzy set theory, and fuzzy logic Physicist Lev Landau, Baku State University student...

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Fuzzy math

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Fuzzy Math may refer to: In mathematics, Fuzzy mathematics. In education, a derogatory term for Reform mathematics. A derogatory political term, Fuzzy...

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Discrete mathematics

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Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...

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Fuzzy number

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Journal of Mathematical Analysis and Applications. 92 (2): 301–341. doi:10.1016/0022-247x(83)90253-6. Michael Hanss, 2005. Applied Fuzzy Arithmetic,...

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Timeline of mathematics

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Asker Zadeh founded fuzzy set theory as an extension of the classical notion of set and he founded the field of Fuzzy mathematics. 1965 – Martin Kruskal...

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Vedic Mathematics

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'Vedic Mathematics'" (PDF). In Kandasamy, W. B. Vasantha; Smarandache, Florentin (eds.). Vedic Mathematics, 'Vedic' or 'Mathematics': A Fuzzy & Neutrosophic...

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Vladik Kreinovich

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computational statistics and computational mathematics generally, including interval arithmetic, fuzzy mathematics, probability theory, and probability bounds...

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Pao Ming Pu

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worked in the area of fuzzy mathematics. He spent much of his career as professor and chairman of the department of mathematics at Sichuan University...

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Fuzzy rule

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Fuzzy rules are used within fuzzy logic systems to infer an output based on input variables. Modus ponens and modus tollens are the most important rules...

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Set theory

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fields of mathematics. In set theory as Cantor defined and Zermelo and Fraenkel axiomatized, an object is either a member of a set or not. In fuzzy set theory...

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