A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making
Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOP...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2017-11-01
|
Series: | Symmetry |
Subjects: | |
Online Access: | https://www.mdpi.com/2073-8994/9/12/289 |
id |
doaj-f4b66b127f554f83808696cd785a21f5 |
---|---|
record_format |
Article |
spelling |
doaj-f4b66b127f554f83808696cd785a21f52020-11-24T23:54:56ZengMDPI AGSymmetry2073-89942017-11-0191228910.3390/sym9120289sym9120289A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision MakingFangling Ren0Mingming Kong1Zheng Pei2College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, Shaanxi, ChinaCenter for Radio Administration & Technology Development, Xihua University, Chengdu 610039, Sichuan, ChinaCenter for Radio Administration & Technology Development, Xihua University, Chengdu 610039, Sichuan, ChinaHesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To this end, we first use the preference degree to define a pseudo-distance between two HFLTSs and analyze its properties. Then we present the positive (optimistic) and negative (pessimistic) information of each criterion provided by each decision maker and aggregate these by using weights of decision makers to obtain the hesitant fuzzy linguistic positive and negative ideal solutions. On the basis of the proposed pseudo-distance, we finally obtain the positive (negative) ideal separation matrix and a new relative closeness degree to rank alternatives. We also design an algorithm based on the provided method to carry out hesitant fuzzy linguistic decision making. An illustrative example shows the elaboration of the proposed method and comparison with the symbolic aggregation-based method, the hesitant fuzzy linguistic TOPSIS method and the hesitant fuzzy linguistic VIKOR method; it seems that the proposed method is a useful and alternative decision-making method.https://www.mdpi.com/2073-8994/9/12/289group multi-criteria decision makingthe TOPSIS methodhesitant fuzzy linguistic term setpseudo-distanceaggregation operator |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Fangling Ren Mingming Kong Zheng Pei |
spellingShingle |
Fangling Ren Mingming Kong Zheng Pei A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making Symmetry group multi-criteria decision making the TOPSIS method hesitant fuzzy linguistic term set pseudo-distance aggregation operator |
author_facet |
Fangling Ren Mingming Kong Zheng Pei |
author_sort |
Fangling Ren |
title |
A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making |
title_short |
A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making |
title_full |
A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making |
title_fullStr |
A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making |
title_full_unstemmed |
A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making |
title_sort |
new hesitant fuzzy linguistic topsis method for group multi-criteria linguistic decision making |
publisher |
MDPI AG |
series |
Symmetry |
issn |
2073-8994 |
publishDate |
2017-11-01 |
description |
Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To this end, we first use the preference degree to define a pseudo-distance between two HFLTSs and analyze its properties. Then we present the positive (optimistic) and negative (pessimistic) information of each criterion provided by each decision maker and aggregate these by using weights of decision makers to obtain the hesitant fuzzy linguistic positive and negative ideal solutions. On the basis of the proposed pseudo-distance, we finally obtain the positive (negative) ideal separation matrix and a new relative closeness degree to rank alternatives. We also design an algorithm based on the provided method to carry out hesitant fuzzy linguistic decision making. An illustrative example shows the elaboration of the proposed method and comparison with the symbolic aggregation-based method, the hesitant fuzzy linguistic TOPSIS method and the hesitant fuzzy linguistic VIKOR method; it seems that the proposed method is a useful and alternative decision-making method. |
topic |
group multi-criteria decision making the TOPSIS method hesitant fuzzy linguistic term set pseudo-distance aggregation operator |
url |
https://www.mdpi.com/2073-8994/9/12/289 |
work_keys_str_mv |
AT fanglingren anewhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking AT mingmingkong anewhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking AT zhengpei anewhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking AT fanglingren newhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking AT mingmingkong newhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking AT zhengpei newhesitantfuzzylinguistictopsismethodforgroupmulticriterialinguisticdecisionmaking |
_version_ |
1725464322650406912 |