Intuitionistic fuzzy reasoning using the method of optimizing the similarity of truth tables

被引：3

作者：

Esmaeili, Mahin ^{[1
]}

Eslami, Esfandiar ^{[1
]}

机构：

[1] Shahid Bahonar Univ Kerman, Fac Math & Comp, Dept Appl Math, Kerman, Iran

来源：

SOFT COMPUTING | 2019年 / 23卷 / 18期

关键词：

Intuitionistic fuzzy reasoning; Similarity measures; Intuitionistic fuzzy implicators; T-NORMS; LOGIC; REPRESENTATION; INFERENCE;

D O I：

10.1007/s00500-018-3478-1

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we extend the method of optimizing the similarity (OS method for short) of truth tables used in fuzzy reasoning, to intuitionistic fuzzy reasoning. In this regard, we introduce intuitionistic fuzzy implicators and some intuitionistic similarity measures. We explain the OS method for intuitionistic fuzzy modus ponens and intuitionistic fuzzy modus tollens. Then, we define continuous intuitionistic fuzzy implicators and give some weaker conditions under which the optimization problem has a solution. The reductive property and optimality condition for this method are investigated.

引用

页码：8765 / 8774

页数：10

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