• used operations are called standard fuzzy set operations; they comprise: fuzzy complements, fuzzy intersections, and fuzzy unions. Let A and B be fuzzy sets...
    8 KB (928 words) - 03:58, 21 December 2024
  • In mathematics, fuzzy sets (also known as uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently...
    48 KB (7,752 words) - 13:14, 1 May 2025
  • described using fuzzy sets. Rules can connect multiple variables through fuzzy set operations using t-norms and t-conorms. T-norms are used as an AND connector...
    4 KB (611 words) - 02:14, 5 May 2025
  • Type-2 fuzzy sets and systems generalize standard Type-1 fuzzy sets and systems so that more uncertainty can be handled. From the beginning of fuzzy sets, criticism...
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  • sets Set operations (SQL), type of operation in SQL Fuzzy set operations, a generalization of crisp sets for fuzzy sets Set (disambiguation) Set theory...
    403 bytes (79 words) - 11:26, 21 May 2023
  • Fuzzy Logic and Technology Fuzzy subalgebra Fuzzy logic Fuzzy set theory Fuzzy clustering Fuzzy mathematics Fuzzy measure theory Fuzzy set operations...
    184 KB (25,716 words) - 21:51, 13 May 2025
  • working fuzzy chip during a technical fair. Defuzzification Fuzzy set Fuzzy set operations "Fuzzy plan with a purpose". Computerworld. Vol. 25, no. 41. 1991-10-14...
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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...
    44 KB (5,601 words) - 09:49, 19 February 2025
  • 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...
    7 KB (932 words) - 11:59, 15 May 2024
  • Thumbnail for Fuzzy number
    A fuzzy number is a generalization of a regular real number in the sense that it does not refer to one single value but rather to a connected set of possible...
    3 KB (332 words) - 07:53, 7 March 2025
  • micro-PROLOG [es] of Logic Programming Associates and adds support for fuzzy sets, support logic, and metaprogramming. Fril was originally developed by...
    8 KB (1,000 words) - 20:33, 28 April 2025
  • Fuzzy subalgebras theory is a chapter of fuzzy set theory. It is obtained from an interpretation in a multi-valued logic of axioms usually expressing the...
    4 KB (714 words) - 22:02, 14 November 2018
  • Thumbnail for Set (mathematics)
    and cardinal numbers. Algebra of sets Alternative set theory Category of sets Class (set theory) Family of sets Fuzzy set Mereology Principia Mathematica...
    49 KB (7,058 words) - 19:56, 18 May 2025
  • mathematics, the membership function of a fuzzy set is a generalization of the indicator function for classical sets. In fuzzy logic, it represents the degree of...
    4 KB (523 words) - 23:18, 16 December 2024
  • performing calculations, involving these operations and relations. Any set of sets closed under the set-theoretic operations forms a Boolean algebra with the...
    15 KB (1,865 words) - 16:28, 28 May 2024
  • Thumbnail for Set theory
    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 this...
    54 KB (6,575 words) - 12:01, 1 May 2025
  • mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable...
    28 KB (4,381 words) - 01:01, 29 March 2025
  • found throughout the database. Fuzzy concept Fuzzy mathematics Fuzzy set operations Rough set Multiset Category theory Set theory Relational model Burgin...
    13 KB (1,919 words) - 23:59, 14 February 2025
  • Thumbnail for Genetic fuzzy systems
    In computer science and operations research, Genetic fuzzy systems are fuzzy systems constructed by using genetic algorithms or genetic programming, which...
    7 KB (994 words) - 19:27, 6 October 2023
  • Thumbnail for Binary operation
    an element of the set. Examples include the familiar arithmetic operations like addition, subtraction, multiplication, set operations like union, complement...
    9 KB (1,546 words) - 16:41, 17 May 2025
  • In computability theory, a set of natural numbers is computable (or decidable or recursive) if there is an algorithm that computes the membership of every...
    4 KB (500 words) - 18:15, 17 May 2025
  • Thumbnail for Lotfi A. Zadeh
    fuzzy mathematics, consisting of several fuzzy-related concepts: fuzzy sets, fuzzy logic, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control...
    57 KB (5,382 words) - 09:15, 24 March 2025
  • set. Hence the universe of sets under ZFC is not closed under the elementary operations of the algebra of sets. Unlike von Neumann–Bernays–Gödel set theory...
    46 KB (6,252 words) - 14:45, 16 April 2025
  • Thumbnail for Empty set
    the empty set or void set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories...
    15 KB (2,229 words) - 16:03, 21 April 2025
  • Arnold Kaufmann (category French operations researchers)
    scientific advisor at Groupe Bull. He is known for writing the first book on fuzzy sets, and as cofounder of the International Project Management Association...
    5 KB (592 words) - 12:26, 30 March 2025
  • the use of aggregation operations in information fusion process" Didier Dubois, Henri Prade (2004) "Interval-valued Fuzzy Sets, Possibility Theory and...
    2 KB (146 words) - 14:00, 9 December 2022
  • Thumbnail for Complement (set theory)
    some contexts (for example, Minkowski set operations in functional analysis) it can be interpreted as the set of all elements b − a , {\displaystyle...
    12 KB (1,515 words) - 07:59, 27 January 2025
  • In set theory, a universal set is a set which contains all objects, including itself. In set theory as usually formulated, it can be proven in multiple...
    10 KB (1,327 words) - 06:43, 21 May 2024
  • Thumbnail for Approximate string matching
    science, approximate string matching (often colloquially referred to as fuzzy string searching) is the technique of finding strings that match a pattern...
    14 KB (1,658 words) - 22:47, 6 December 2024
  • set theory" is a non-formalized theory, that is, a theory that uses natural language to describe sets and operations on sets. Such theory treats sets...
    34 KB (4,716 words) - 15:17, 3 April 2025