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) - 12:06, 14 June 2025
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) - 19:38, 22 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...
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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...
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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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represent fuzzy concepts mathematically, using fuzzy logic, fuzzy values, fuzzy variables and fuzzy sets (see also fuzzy set theory). Fuzzy logic is not...
198 KB (27,573 words) - 17:28, 22 June 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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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...
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Membership function (mathematics) (redirect from Fuzzy membersip)
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...
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based on a property of its members Family of sets – Any collection of sets, or subsets of a set Fuzzy set – Sets whose elements have degrees of membership...
49 KB (7,140 words) - 03:36, 22 June 2025
performing calculations, involving these operations and relations. Any set of sets closed under the set-theoretic operations forms a Boolean algebra with the...
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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...
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In computer science and operations research, Genetic fuzzy systems are fuzzy systems constructed by using genetic algorithms or genetic programming, which...
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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...
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found throughout the database. Fuzzy concept Fuzzy mathematics Fuzzy set operations Rough set Multiset Category theory Set theory Relational model Burgin...
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an element of the set. Examples include the familiar arithmetic operations like addition, subtraction, multiplication, set operations like union, complement...
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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...
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Fril (redirect from Fuzzy Relational Inference Language)
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
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
Lotfi A. Zadeh (section Fuzzy sets and systems)
fuzzy mathematics, consisting of several fuzzy-related concepts: fuzzy sets, fuzzy logic, fuzzy algorithms, fuzzy semantics, fuzzy languages, fuzzy control...
57 KB (5,380 words) - 03:00, 16 June 2025
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
Approximate string matching (redirect from Fuzzy string searching)
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...
35 KB (4,774 words) - 22:32, 25 May 2025
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) - 02:12, 26 May 2025
In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through...
14 KB (1,989 words) - 08:46, 6 May 2025
Venn diagram (redirect from Set diagram)
between sets, popularized by John Venn (1834–1923) in the 1880s. The diagrams are used to teach elementary set theory, and to illustrate simple set relationships...
31 KB (3,242 words) - 13:31, 22 April 2025
numbers (see Cardinality of the continuum). The power set of a set S, together with the operations of union, intersection and complement, is a Σ-algebra...
21 KB (2,479 words) - 08:24, 18 June 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...
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"Stats: Probability Rules". People.richland.edu. Retrieved 2012-05-08. "Set Operations | Union | Intersection | Complement | Difference | Mutually Exclusive...
12 KB (1,734 words) - 23:16, 26 December 2023