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

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Fuzzy Information and Engineering

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.

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Authors and Affiliations

  1. School of Informatics, Guangdong University of Foreign Studies, Guangzhou, Guangdong, 510420, P.R.China

    Qian-sheng Zhang

  2. Cisco School of Informatics, Guangdong University of Foreign Studies, Guangzhou, Guangdong, 510420, P.R.China

    Bi Li

Authors
  1. Qian-sheng Zhang
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  2. Bi Li
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Correspondence to Qian-sheng Zhang.

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Zhang, Qs., Li, B. Multidimensional interval-valued fuzzy reasoning approach based on weighted similarity measure. Fuzzy Inf. Eng. 3, 45–57 (2011). https://doi.org/10.1007/s12543-011-0065-x

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  • DOI: https://doi.org/10.1007/s12543-011-0065-x

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