Generalized parametric conjunction operations in fuzzy modeling

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

1 Scopus citations

Abstract

An approach to construct optimal fuzzy models based on an optimization of parameters of generalized conjunction operations is discussed. Several approaches to construct parametric classes of conjunction operations simpler than known parametric classes of T-norms are considered. These approaches are based on elimination of associativity and commutativity properties from definition of conjunction operation. A new simplest generalized parametric conjunction operation is introduced. Different approaches to approximation of real valued function by fuzzy models based on optimization of parameters of membership functions and parameters of operations are compared by numerical examples. It is shown that fuzzy models based on new conjunction operation have better performance than previous ones.

Original languageEnglish
Title of host publicationAdvances in Soft Computing
PublisherSpringer Verlag
Pages88-97
Number of pages10
DOIs
StatePublished - 2000
Externally publishedYes

Publication series

NameAdvances in Soft Computing
Volume6
ISSN (Print)1615-3871
ISSN (Electronic)1860-0794

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