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CLC number: O212.5

On-line Access: 2019-03-11

Received: 2017-06-29

Revision Accepted: 2017-08-28

Crosschecked: 2019-02-15

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Renato A. Krohling

http://orcid.org/0000-0001-8861-4274

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Frontiers of Information Technology & Electronic Engineering  2019 Vol.20 No.2 P.283-291

http://doi.org/10.1631/FITEE.1700434


TODIM and TOPSIS with Z-numbers


Author(s):  Renato A. Krohling, André G. C. Pacheco, Guilherme A. dos Santos

Affiliation(s):  Department of Production Engineering, Federal University of Espirito Santo, Vitória, ES, CEP 29075-910, Brazil; more

Corresponding email(s):   krohling.renato@gmail.com, pacheco.comp@gmail.com, guilherme.artem@gmail.com

Key Words:  Multi-criteria decision-making, TODIM, TOPSIS, Fuzzy number, Z-number


Renato A. Krohling, André G. C. Pacheco, Guilherme A. dos Santos. TODIM and TOPSIS with Z-numbers[J]. Frontiers of Information Technology & Electronic Engineering, 2019, 20(2): 283-291.

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author="Renato A. Krohling, André G. C. Pacheco, Guilherme A. dos Santos",
journal="Frontiers of Information Technology & Electronic Engineering",
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pages="283-291",
year="2019",
publisher="Zhejiang University Press & Springer",
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%A Guilherme A. dos Santos
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A1 - André G. C. Pacheco
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DOI - 10.1631/FITEE.1700434


Abstract: 
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.

基于Z数的TODIM与TOPSIS方法

摘要:提出一种针对多标准决策问题处理Z数的方法。使用模糊数A和B的有序对Z=(A,B)定义Z数,其中A是兴趣变量的语言值,BA的概率测度语言值。人类通过自然语言进行交流,使用这样的句子如"从家到大学大约需要半小时"。将Z数转化为模糊数,Z-TODIM和Z-TOPSIS分别是模糊TODIM和模糊TOPSIS的直接扩展。将提出的方法应用于两个案例并与使用精确数的标准方法比较,结果证明其可行。

关键词:多标准决策;TODIM;TOPSIS;模糊数;Z数

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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