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Fuzzy set operations information


Fuzzy set operations are a generalization of crisp set operations for fuzzy sets. There is in fact more than one possible generalization. The most widely used operations are called standard fuzzy set operations; they comprise: fuzzy complements, fuzzy intersections, and fuzzy unions.

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Fuzzy set operations

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

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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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Set operation

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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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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 spectrum...

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Fuzzy electronics

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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 number

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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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Fuzzy rule

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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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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...

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Fuzzy concept

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for Fuzzy Logic and Technology Fuzzy subalgebra Fuzzy logic George Klir Fuzzy clustering Fuzzy mathematics Fuzzy measure theory Fuzzy set operations Identity...

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Algebra of sets

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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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Fril

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micro-PROLOG [es] of Logic Programming Associates and adds support for fuzzy sets, support logic, and metaprogramming. Fril was originally developed by...

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Genetic fuzzy systems

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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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Approximate string matching

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science, approximate string matching (often colloquially referred to as fuzzy string searching) is the technique of finding strings that match a pattern...

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Universal set

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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...

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Named set theory

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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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Set theory

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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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Empty set

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mathematics, the empty set is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. Some axiomatic set theories ensure...

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Fuzzy subalgebra

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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...

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Countable set

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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...

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Control system

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start and stop various operations through the use of actuators. Logic controllers are used to sequence mechanical operations in many applications. Examples...

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Infinite set

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In set theory, an infinite set is a set that is not a finite set. Infinite sets may be countable or uncountable. The set of natural numbers (whose existence...

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Venn diagram

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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...

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