A fuzzy similarity inference method for fuzzy reasoning

被引：44

作者：

Wang, De-Gang ^{[1
]}

Meng, Yan-Ping ^{[1
]}

Li, Hong-Xing ^{[1
]}

机构：

[1] Dalian Univ Technol, Sch Elect & Informat Engn, Dalian 116024, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2008年 / 56卷 / 10期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.1016/j.camwa.2008.03.054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2008 Published by Elsevier Ltd

引用

页码：2445 / 2454

页数：10

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