Intuitionistic fuzzy variables: Concepts and applications in decision making

被引:19
作者
Pei, Zhi [1 ]
机构
[1] Zhejiang Univ Technol, Dept Ind Engn, Hangzhou 310014, Zhejiang, Peoples R China
基金
中国国家自然科学基金;
关键词
Intuitionistic fuzzy variables; Fuzzy multiple attribute decision making; Fuzzy dominance theory; Distance based ranking; Manual workstation assessment; EXPECTED VALUE; DISTANCE; ENTROPY;
D O I
10.1016/j.eswa.2015.07.065
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The present paper aims at advancing the well-recognized uncertainty theory built upon the credibility measure. In face of the increasing level of uncertainty embedded within the real world problem solving, it is discovered that the fuzzy variables defined in the credibility space are far from adequate to reflect the hesitance incurred during decision making. Although more complex fuzzy quantities are introduced, such as the fuzzy possibility space based type-2 fuzzy variables, the area of intuitionistic fuzzy variables is still a largely unexplored territory. Therefore, a novel concept of intuitionistic fuzzy variable is introduced hereby as an attempt to extend the uncertainty theory, which possesses a decent self-dual property compared with the fuzzy set theory. Unlike the intuitionistic fuzzy set theory, which has been widely implemented in various application fields, the intuitionistic fuzzy variables have hardly been employed in practices, especially the decision making sector. To bridge the gap, three outranking methods are developed to help evaluate intuitionistic fuzzy variables. The sufficient conditions of the three methods in distinguishing different fuzzy variables are also proved in the present work. The benefits of ranking with the three methods include the minimum amount of defuzzification, which prevents the information loss to a significant extent. Furthermore, in order to validate the proposed methods, a numerical study is performed. And the consistency of the ranking outputs from the three proposed methods is analyzed afterward. Besides, several managerial insights are presented regarding the sensitivity analysis of each ranking method. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码:9033 / 9045
页数:13
相关论文
共 46 条
[1]   A new type-2 fuzzy set of linguistic variables for the fuzzy analytic hierarchy process [J].
Abdullah, Lazim ;
Najib, Liana .
EXPERT SYSTEMS WITH APPLICATIONS, 2014, 41 (07) :3297-3305
[2]  
[Anonymous], TSINGHUA SCI TECHNOL
[3]  
[Anonymous], SOFT COMPUTING
[4]  
[Anonymous], 1991, Portfolio Selection: Efficient Diversification of Investments
[5]  
[Anonymous], 1992, Appl
[6]  
[Anonymous], 2011, UNCERTAINTY THEORY
[7]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[8]   Semideviations of reduced fuzzy variables: a possibility approach [J].
Bai, Xuejie ;
Liu, Yankui .
FUZZY OPTIMIZATION AND DECISION MAKING, 2014, 13 (02) :173-196
[9]   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
[10]   Construction of intuitionistic fuzzy relations with predetermined properties [J].
Bustince, H .
FUZZY SETS AND SYSTEMS, 2000, 109 (03) :379-403