The representation of interaction among fuzzy rules

Author

Wang, Xi-Zhao ; Wang, Xu-Guang ; Jun-Shen

Author_Institution

Fac. of Math. & Comput. Sci., Hebei Univ., Baoding, China

Volume

5

fYear

2005

fDate

18-21 Aug. 2005

Firstpage

3098

Abstract

In this paper, we apply the interaction model established by M. Grabisch (Fuzzy Sets and System, Vol. 92, pp. 167-189, 1997) to the reasoning of fuzzy production rules. When fuzzy production rules are used in approximate reasoning, interaction exists among rules that have the same consequent but different antecedent. In order to deal with the interaction among fuzzy rules properly, we employ a kind of representation coming from cooperative game theory, named interaction index (e.g. Shapley value) and discuss how to determine the interaction index among fuzzy rules via the fuzzy measure which is defined on the set of fuzzy rules. This paper also roughly discusses how to examine the interaction about fuzzy rules coming from experience.

Keywords

fuzzy reasoning; fuzzy set theory; game theory; knowledge based systems; knowledge representation; Shapley value; approximate reasoning; cooperative game theory; fuzzy measure; fuzzy production rules; fuzzy rules; interaction index; interaction model; interaction representation; Computer science; Electronic mail; Expert systems; Fuzzy reasoning; Fuzzy sets; Fuzzy systems; Hybrid intelligent systems; Machine learning; Mathematics; Production; Fuzzy production rules; Shapley value; fuzzy measure; interaction index; k-order additive fuzzy measure;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on

Conference_Location

Guangzhou, China

Print_ISBN

0-7803-9091-1

Type

conf

DOI

10.1109/ICMLC.2005.1527474

Filename

1527474