Title :
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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527474
