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

Author

Listed:
  • Qian-sheng Zhang

    (Guangdong University of Foreign Studies)

  • Bi Li

    (Guangdong University of Foreign Studies)

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.

Suggested Citation

  • Qian-sheng Zhang & Bi Li, 2011. "Multidimensional interval-valued fuzzy reasoning approach based on weighted similarity measure," Fuzzy Information and Engineering, Springer, vol. 3(1), pages 45-57, March.
    • Handle: RePEc:spr:fuzinf:v:3:y:2011:i:1:d:10.1007_s12543-011-0065-x
    DOI: 10.1007/s12543-011-0065-x
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