A fuzzy similarity inference method for fuzzy reasoning

作者：Wang De Gang; Meng Yan Ping; Li Hong Xing^*

来源：Computers & Mathematics with Applications, 2008, 56(10): 2445-2454.

DOI：10.1016/j.camwa.2008.03.054

• Fuzzy reasoning
• Fuzzy logic
• Fuzzy similarity measure
• FSI method
• alpha-FSI method
• Reversibility properties

In this paper, Fuzzy Similarity Inference (FSI) is investigated. First, the axiomatic definition of the fuzzy similarity measure is introduced. It is a generalization of the similarity measure. Some formulas are given to compute the fuzzy similarity of two fuzzy sets. Second, a novel fuzzy reasoning, called fuzzy similarity inference, is proposed. Computational formulas for both fuzzy modus ponens (FMP) and fuzzy modus tollens (FMT) are obtained. Based on the theory of partial valuations, FSI method is put under the framework of logic semantically. Furthermore, the generalized problem of FSI is investigated. Computational formulas for alpha-FSI FMP and alpha-FSI FMT are obtained. At last, reversibility properties of FSI are proved.

• 出版日期2008-11
• 单位大连理工大学