International Journal of Computational Intelligence Systems

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Volume 12, Issue 2, 2019, Pages 998 - 1018

Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making

Authors
Qiang Yang1, Yan-Lai Li1, Kwai-Sang Chin2, *
1School of Transportation and Logistics, Southwest Jiaotong University, Chengdu, People's Republic of China
2Department of Systems Engineering and Engineering Management, City University of Hong Kong, Hong Kong, People's Republic of China
*Corresponding author. Email: mekschin@cityu.edu.hk
Corresponding Author
Kwai-Sang Chin
Received 6 August 2019, Accepted 28 August 2019, Available Online 18 September 2019.
DOI
10.2991/ijcis.d.190902.001How to use a DOI?
Keywords
Proportional hesitant fuzzy linguistic term set (PHFLTS); Comprehensive weighting model; Proportional hesitant fuzzy linguistic cosine similarity measure; Proportional hesitant fuzzy linguistic entropy measure; Multi-attribute group decision making (MAGDM); Extended PHFL-VKIOR method
Abstract

To obtain reliable results in a qualitative multi-attribute group decision-making (MAGDM) problem, how to retain the evaluation information as much as possible and how to determine the reasonable weights of experts and attributes are two important issues. Proportional hesitant fuzzy linguistic term set (PHFLTS) is beneficial for retaining evaluation information as it would consider the linguistic terms and corresponding proportional information simultaneously. However, PHFLTS is a relatively new concept. Some novel manipulations, such as comparison, arithmetic operations, aggregation operators, and cosine similarity and distance measures are defined in this study with the purpose of improving the completeness and applicability of PHFLTS. Furthermore, cosine similarity measure-based weight determination model and entropy measure-based weight determination model under proportional hesitant fuzzy linguistic (PHFL) environment are constructed to derive the objective weights of experts and those of attributes as well. Subsequently, an integrated weighting model is proposed to determine the comprehensive weights of experts and attributes. Based on the defined operational laws for PHFLTS and comprehensive weighting model, two MAGDM methods, PHFL aggregation operator-based method and extended PHFL-VIKOR method, are developed to deal with MAGDM problems with PHFL information. To demonstrate the applicability, efficiency, and advantages of the proposed MAGDM methods, an illustrative example and a comparison example are provided.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
998 - 1018
Publication Date
2019/09/18
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.190902.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Qiang Yang
AU  - Yan-Lai Li
AU  - Kwai-Sang Chin
PY  - 2019
DA  - 2019/09/18
TI  - Constructing Novel Operational Laws and Information Measures for Proportional Hesitant Fuzzy Linguistic Term Sets with Extension to PHFL-VIKOR for Group Decision Making
JO  - International Journal of Computational Intelligence Systems
SP  - 998
EP  - 1018
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190902.001
DO  - 10.2991/ijcis.d.190902.001
ID  - Yang2019
ER  -