Multidimensional interval-valued fuzzy reasoning approach based on weighted similarity measure

Qian-sheng Zhang () and Bi Li
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Qian-sheng Zhang: Guangdong University of Foreign Studies
Bi Li: Guangdong University of Foreign Studies

Fuzzy Information and Engineering, 2011, vol. 3, issue 1, 45-57

Abstract: Abstract This paper focuses on presentation of a method to bidirectional interval-valued fuzzy approximate reasoning by employing a weighted similarity measure between the fact and the antecedent (or consequent) portion of production rule in which the vague terms are represented by interval-valued fuzzy concepts rather than plain fuzzy sets. The proposed method is more reasonable and flexible than the one presented in the paper by Chen [Fuzzy Sets and Systems, 91(1997), 339–353] due to the fact that it not only can deal with multidimensional interval-valued fuzzy reasoning scheme, but also consider the different importance degree of linguistic variables in production rule and that of elements in each universe.

Keywords: Approximate reasoning; Fuzzy inference system; Interval-valued fuzzy set; Weighted similarity measure (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s12543-011-0065-x

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