Similarity of intuitionistic fuzzy sets and its applications

被引：23
作者：
Duan, Jingyao [1 ]
Li, Xingyu [1 ]
机构：
[1] BaoJi Univ Arts & Sci, Dept Math & Informat Sci, Baoji 721016, Shaanxi, Peoples R China
来源：
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING | 2021年 / 137卷
基金：
中国国家自然科学基金;
关键词：
Intuitionistic fuzzy sets; Logical similarity; Logical metric space; Pattern recognition; Triple I method; Fuzzy reasoning; VAGUE SETS; T-NORMS; ROBUSTNESS;
D O I：
10.1016/j.ijar.2021.07.009
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper mainly discusses three points. First of all, four kinds of intuitionistic similarities based on implication operator and the corresponding logical metric spaces are constructed. Secondly, from the perspective of perturbation parameters, different intuitionistic similarities are compared and analyzed by means of topological method. Finally, the applications of similarities are shown. On the one hand, the constructed similarities are used to solve a pattern recognition problem. On the other hand, the robustness of the Triple I method of intuitionistic reasoning is analyzed by adopting the constructed similarity as the perturbation parameter. (C) 2021 Elsevier Inc. All rights reserved.
引用
收藏
页码：166 / 180
页数：15
相关论文
共 33 条
[1]   Aggregation of infinite chains of intuitionistic fuzzy sets and their application to choices with temporal intuitionistic fuzzy information [J].
Alcantud, Jose Carlos R. ;
Khameneh, Azadeh Zahedi ;
Kilicman, Adem .
INFORMATION SCIENCES, 2020, 514 :106-117
[2]  
[Anonymous], 2009, Introduction to Mathematical Logic and Resolution Principle
[3]  
Atanassov KT, 2012, STUD FUZZ SOFT COMP, V283, P1, DOI 10.1007/978-3-642-29127-2
[4]   Robustness of fuzzy reasoning and δ-equalities of fuzzy sets [J].
Cai, KY .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2001, 9 (05) :738-750
[5]   Implication in intuitionistic fuzzy and interval-valued fuzzy set theory: construction, classification, application [J].
Cornelis, C ;
Deschrijver, G ;
Kerre, EE .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2004, 35 (01) :55-95
[6]   Robustness analysis of full implication inference method [J].
Dai, Songsong ;
Pei, Daowu ;
Guo, Donghui .
INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2013, 54 (05) :653-666
[7]   Some operations on intuitionistic fuzzy sets [J].
De, SK ;
Biswas, R ;
Roy, AR .
FUZZY SETS AND SYSTEMS, 2000, 114 (03) :477-484
[8]   Classes of intuitionistic fuzzy t-norms satisfying the residuation principle [J].
Deschrijver, G ;
Kerre, EE .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2003, 11 (06) :691-709
[9]   On the representation of intuitionistic fuzzy t-norms and t-conorms [J].
Deschrijver, G ;
Cornelis, C ;
Kerre, EE .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2004, 12 (01) :45-61
[10]  
FATIH EB, 2014, INFORM SCIENCES, V255, P45
1234