International Journal of Computational Intelligence Systems

Volume 11, Issue 1, 2018, Pages 120 - 132

The linguistic intuitionistic fuzzy set TOPSIS method for linguistic multi-criteria decision makings

Authors
Yue Ou1, Liangzhong Yi2, Bin Zou3, Zheng Pei3, pqyz@263.net
1School of Mechanical Engineering, Xihua University, Chengdu, Sichuan 610039, China.
2Sichuan Police College, Luzhou, Sichuan 646000, China.
3Center for Radio Administration & Technology Development, Xihua University, Chengdu, Sichuan 610039, China.
Received 9 June 2017, Accepted 14 September 2017, Available Online 1 January 2018.
DOI
10.2991/ijcis.11.1.10How to use a DOI?
Keywords
The TOPSIS method; The 2-tuple linguistic model; Hesitant fuzzy linguistic term set; Intuitionistic fuzzy sets; Linguistic multi-criteria decision makings
Abstract

In the paper, we express uncertain assessments information in linguistic multi-criteria decision makings (LMCDMs) as linguistic intuitionistic fuzzy sets, i.e., the decision maker provides membership and non-membership fuzzy linguistic terms to represent uncertain assessments information of alternatives in LMCDMs, and present Hamming distance between two linguistic intuitionistic fuzzy sets. Then we propose the linguistic intuitionistic fuzzy set TOPSIS method for LMCDMs, compared with the traditional TOP-SIS method, we provide different the positive ideal solution, the negative ideal solution and the relative closeness degrees of alternatives, in addition, we design an algorithm to finish the linguistic intuitionistic fuzzy set TOPSIS method for LMCDMs. We utilize a LMCDM problem to illustrate the performance, usefulness and effectiveness of the linguistic intuitionistic fuzzy set TOPSIS method, and compare it with the hesitant fuzzy linguistic multi-criteria optimization and compromise solution (HFL-VIKOR) method, the symbolic aggregation-based method and the hesitant fuzzy linguistic TOPSIS (HFL-TOPSIS) method in the example, results show that the linguistic intuitionistic fuzzy set TOPSIS method is a useful and alternative method for LMCDMs.

Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
120 - 132
Publication Date
2018/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.11.1.10How to use a DOI?
Copyright
© 2018, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Yue Ou
AU  - Liangzhong Yi
AU  - Bin Zou
AU  - Zheng Pei
PY  - 2018
DA  - 2018/01/01
TI  - The linguistic intuitionistic fuzzy set TOPSIS method for linguistic multi-criteria decision makings
JO  - International Journal of Computational Intelligence Systems
SP  - 120
EP  - 132
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.10
DO  - 10.2991/ijcis.11.1.10
ID  - Ou2018
ER  -