On Kleene-Diens inference

Author

Whalen, Thomas

Author_Institution

Georgia State Univ., Atlanta, GA, USA

fYear

1996

fDate

19-22 Jun 1996

Firstpage

536

Lastpage

540

Abstract

The Kleene-Diens implication operator is defined in terms of the min T-norm, which is the limit of the Schweizer-Sklar (1961) T-norm as the parameter p grows without bound. Consider a fuzzy rule-based system with trapezoidal antecedent and consequent fuzzy sets and mode defuzzification. The behavior of the system differs significantly depending on whether the Schweizer-Sklar parameter is taken to its limit before of after the inferencing and defuzzification. A four-rule knowledge base provides a simple benchmark to compare the behavior of the two versions of Kleene-Diens inference

Keywords

fuzzy logic; fuzzy set theory; inference mechanisms; knowledge based systems; Kleene-Diens implication operator; Kleene-Diens inference; Kleene-Diens-Lukasiewicz logic; Schweizer-Sklar parameter; fuzzy rule-based system; knowledge base; min T-norm; mode defuzzification; system behavior; trapezoidal antecedent fuzzy sets; trapezoidal consequent fuzzy sets; Closed-form solution; Composite materials; Data models; Electronic switching systems; Fuzzy sets; Fuzzy systems; Knowledge based systems; Logic design; Marine vehicles;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society, 1996. NAFIPS., 1996 Biennial Conference of the North American

Conference_Location

Berkeley, CA

Print_ISBN

0-7803-3225-3

Type

conf

DOI

10.1109/NAFIPS.1996.534792

Filename

534792