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

被引：0
作者：
Mahin Esmaeili
Esfandiar Eslami
机构：
[1] Shahid Bahonar University of Kerman,Department of Applied Mathematics, Faculty of Mathmatics and Computer
来源：
Soft Computing | 2019年 / 23卷
关键词：
Intuitionistic fuzzy reasoning; Similarity measures; Intuitionistic fuzzy implicators;
D O I：
暂无
中图分类号：
学科分类号：
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
收藏
页码：8765 / 8774
页数：9
相关论文
共 49 条
[1]  
Atanassov K(1989)Interval valued intuitionistic fuzzy sets Fuzzy Sets Syst 31 343-349
[2]  
Atanassov K(1986)Intuitionistic fuzzy sets theory Fuzzy Sets Syst 20 87-96
[3]  
Chen SM(1988)A new approach to handling fuzzy decision-making problems IEEE Trans Syst Man Cybern 18 1012-1016
[4]  
Chen SM(1994)A weighted fuzzy reasoning algorithm for medical diagnosis Decis Support Syst 11 1012-1016
[5]  
Cornelis C(2004)Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application Int J Approx Reason 35 55-95
[6]  
Deschrijver G(2014)Fuzzy reasoning method by optimizing the similarity of truth-tables Inf Sci 288 290-313
[7]  
Kerre EE(2003)Class of intuitionistic fuzzy t-norms satisfying the residuation principle Int J Uncertain Fuzziness Knowl Based Syst 11 691-709
[8]  
Deng G(2004)On the representation of intuitionistic fuzzy Fuzzy Sets Syst 12 45-61
[9]  
Jiang Y(1991)-norms and t-conorms Fuzzy Sets Syst 40 143-244
[10]  
Deschrijver G(2001)Fuzzy sets in approximate reasoning Fuzzy Sets Syst 124 271-288
12345