Fuzzy modeling based on generalized conjunction operations

Ildar Batyrshin; Okyay Kaynak; Imre Rudas

doi:10.1109/TFUZZ.2002.803500

Fuzzy modeling based on generalized conjunction operations

Ildar Batyrshin, Okyay Kaynak, Imre Rudas

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

60 Scopus citations

Abstract

A novel approach to fuzzy modeling based on the tuning of parametric conjunction operations is proposed. First, some novel methods for the construction of parametric generalized conjunction operations simpler than the known parametric classes of conjunctions are considered and discussed. Second, several examples of function approximation by fuzzy models, based on the tuning of the parameters of the new conjunction operations, are given and their approximation performances are compared with the approaches based on a tuning of membership functions and other approaches proposed in the literature. It is seen that the tuning of the conjunction operations can be used for obtaining fuzzy models with a sufficiently good performance when the tuning of membership functions is not possible or not desirable.

Original language	English
Pages (from-to)	678-683
Number of pages	6
Journal	IEEE Transactions on Fuzzy Systems
Volume	10
Issue number	5
DOIs	https://doi.org/10.1109/TFUZZ.2002.803500
State	Published - Oct 2002
Externally published	Yes

Keywords

Conjunction
Disjunction
Functions approximation
Fuzzy modeling
T-norm

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10.1109/TFUZZ.2002.803500

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title = "Fuzzy modeling based on generalized conjunction operations",

abstract = "A novel approach to fuzzy modeling based on the tuning of parametric conjunction operations is proposed. First, some novel methods for the construction of parametric generalized conjunction operations simpler than the known parametric classes of conjunctions are considered and discussed. Second, several examples of function approximation by fuzzy models, based on the tuning of the parameters of the new conjunction operations, are given and their approximation performances are compared with the approaches based on a tuning of membership functions and other approaches proposed in the literature. It is seen that the tuning of the conjunction operations can be used for obtaining fuzzy models with a sufficiently good performance when the tuning of membership functions is not possible or not desirable.",

keywords = "Conjunction, Disjunction, Functions approximation, Fuzzy modeling, T-norm",

author = "Ildar Batyrshin and Okyay Kaynak and Imre Rudas",

note = "Funding Information: Manuscript received October 23, 2001; revised February 22, 2002. This work was supported in part by the Foundation for Promotion of Advanced Automation Technology, Japan, and by the Academy of Sciences of the Republic of Tatarstan, Russia.",

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AU - Kaynak, Okyay

AU - Rudas, Imre

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AB - A novel approach to fuzzy modeling based on the tuning of parametric conjunction operations is proposed. First, some novel methods for the construction of parametric generalized conjunction operations simpler than the known parametric classes of conjunctions are considered and discussed. Second, several examples of function approximation by fuzzy models, based on the tuning of the parameters of the new conjunction operations, are given and their approximation performances are compared with the approaches based on a tuning of membership functions and other approaches proposed in the literature. It is seen that the tuning of the conjunction operations can be used for obtaining fuzzy models with a sufficiently good performance when the tuning of membership functions is not possible or not desirable.

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KW - Functions approximation

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KW - T-norm

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SP - 678

EP - 683

JO - IEEE Transactions on Fuzzy Systems

JF - IEEE Transactions on Fuzzy Systems

IS - 5

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Fuzzy modeling based on generalized conjunction operations

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Keywords

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