Interval-Valued Fuzzy Reasoning Based on Weighted Similarity Measure

摘要

This paper presents a method of bidirectional interval-valued fuzzy approximate reasoning by employing a weighted similarity measure between the fact and the antecedent (or consequent) portion of interval-valued fuzzy production rule. Our 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. One numerical example is given to illustrate the efficiency and feasibility of the proposed new method.