Operations on Hesitant Linguistic terms sets Induced By Archimedean Triangular Norms And Conorms

被引：8
作者：
Li, Zhaoyan [1 ]
Zhao, Chenfang [1 ]
Pei, Zheng [1 ]
机构：
[1] Xihua Univ, Sch Comp & Software Engn, Chengdu 610039, Sichuan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS | 2018年 / 11卷 / 01期
关键词：
Triangular norms and conorms; 2-tuple linguistic representation; Hesitant fuzzy linguistic terms set; Linguistic aggregation operator; Linguistic decision making; FUZZY-SETS; AGGREGATION OPERATORS; DECISION-ANALYSIS; T-NORMS; POSITION; MODEL;
D O I：
10.2991/ijcis.11.1.38
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The aim of the paper is to discuss some new operations on hesitant fuzzy linguistic terms sets based on Archimedean t-norm and t-conorm. The advantage is that the operations on hesitant fuzzy linguistic terms sets are closed, by studying propositions of the operations on hesitant fuzzy linguistic terms sets, scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators are proposed. An example is presented to illustrate the practicality of the four well-known scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators, which are also compared with the symbolic aggregation-based method in the example, results show that scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators can be applied to fuse hesitant fuzzy linguistic terms sets.
引用
收藏
页码：514 / 524
页数：11
相关论文
共 48 条
[1]  
[Anonymous], 2011, Probabilistic Metric Spaces
[2]  
[Anonymous], 1999, Mathematical Principles of Fuzzy Logic, DOI DOI 10.1007/978-1-4615-5217-8
[3]  
[Anonymous], 2014, HESITANT FUZZY SETS
[4]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[5]   TOPSIS for Hesitant Fuzzy Linguistic Term Sets [J].
Beg, Ismat ;
Rashid, Tabasam .
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2013, 28 (12) :1162-1171
[6]   On averaging operators for Atanassov's intuitionistic fuzzy sets [J].
Beliakov, G. ;
Bustince, H. ;
Goswami, D. P. ;
Mukherjee, U. K. ;
Pal, N. R. .
INFORMATION SCIENCES, 2011, 181 (06) :1116-1124
[7]   ON TRIANGULAR NORM-BASED PROPOSITIONAL FUZZY LOGICS [J].
BUTNARIU, D ;
KLEMENT, EP ;
ZAFRANY, S .
FUZZY SETS AND SYSTEMS, 1995, 69 (03) :241-255
[8]  
Calvo T., 2007, STUDIES FUZZINESS SO, V221, DOI DOI 10.1007/978-3-540-73721-6
[9]   On continuous triangular norms that are migrative [J].
Fodor, J. ;
Rudas, I. J. .
FUZZY SETS AND SYSTEMS, 2007, 158 (15) :1692-1697
[10]   A 2-tuple fuzzy linguistic representation model for computing with words [J].
Herrera, F ;
Martínez, L .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2000, 8 (06) :746-752
12345