Parametric classes of generalized conjunction and disjunction operations for fuzzy modeling

Ildar Batyrshin; Okyay Kaynak

doi:10.1109/91.797981

Parametric classes of generalized conjunction and disjunction operations for fuzzy modeling

Ildar Batyrshin, Okyay Kaynak

Research output: Contribution to journal › Article › peer-review

47 Scopus citations

Abstract

It is argued that inference procedures of fuzzy models do not always require commutativity and associativity of the operations used. This raises the possibility of considering nonassociative and noncommutative conjunction and disjunction operations. Such operations are investigated in this paper and different methods for their generation are proposed. A number of new types of conjunction operations that are simpler than the known parametric classes of T-norms are given and, as an application example, the approximation of a function by a fuzzy inference system is considered.

Original language	English
Pages (from-to)	586-596
Number of pages	11
Journal	IEEE Transactions on Fuzzy Systems
Volume	7
Issue number	5
DOIs	https://doi.org/10.1109/91.797981
State	Published - 1999
Externally published	Yes

Keywords

Associativity
Commutativity
Conjunction
Disjunction
Fuzzy modeling
T-conorm
T-norm

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10.1109/91.797981

Cite this

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title = "Parametric classes of generalized conjunction and disjunction operations for fuzzy modeling",

abstract = "It is argued that inference procedures of fuzzy models do not always require commutativity and associativity of the operations used. This raises the possibility of considering nonassociative and noncommutative conjunction and disjunction operations. Such operations are investigated in this paper and different methods for their generation are proposed. A number of new types of conjunction operations that are simpler than the known parametric classes of T-norms are given and, as an application example, the approximation of a function by a fuzzy inference system is considered.",

keywords = "Associativity, Commutativity, Conjunction, Disjunction, Fuzzy modeling, T-conorm, T-norm",

author = "Ildar Batyrshin and Okyay Kaynak",

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Parametric classes of generalized conjunction and disjunction operations for fuzzy modeling

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Keywords

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