TODIM and TOPSIS with Z-numbers

被引：46
|
作者：
Krohling, Renato A. [1 ,2 ]
Pacheco, Andre G. C. [2 ]
dos Santos, Guilherme A. [2 ]
机构：
[1] Univ Fed Espirito Santo, Dept Prod Engn, BR-29075910 Vitoria, ES, Brazil
[2] Univ Fed Espirito Santo, Grad Program Comp Sci, BR-29075910 Vitoria, ES, Brazil
来源：
FRONTIERS OF INFORMATION TECHNOLOGY & ELECTRONIC ENGINEERING | 2019年 / 20卷 / 02期
关键词：
Multi-criteria decision-making; TODIM; TOPSIS; Fuzzy number; Z-number; MULTICRITERIA DECISION-MAKING; INTUITIONISTIC FUZZY; DISTANCE;
D O I：
10.1631/FITEE.1700434
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present an approach that can handle Z-numbers in the context of multi-criteria decision-making problems. The concept of Z-number as an ordered pair Z=(A, B) of fuzzy numbers A and B is used, where A is a linguistic value of a variable of interest and B is a linguistic value of the probability measure of A. As human beings, we communicate with each other by means of natural language using sentences like the journey from home to university most likely takes about half an hour. The Z-numbers are converted to fuzzy numbers. Then the Z-TODIM and Z-TOPSIS are presented as a direct extension of the fuzzy TODIM and fuzzy TOPSIS, respectively. The proposed methods are applied to two case studies and compared with the standard approach using crisp values. The results obtained show the feasibility of the approach.
引用
收藏
页码：283 / 291
页数：9
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