An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights

Authors

Raghunathan Krishankumar¹, Kattur Soundarapandian Ravichandran¹, Huchang Liao^{2, *,} , Samarjit Kar³

¹School of Computing, Shanmugha Arts Science Technology and Research Academy, Thanjavur 613401, Tamil Nadu, India

²Business School, Sichuan University, Chengdu 610064, Sichuan, China

³Department of Mathematics, National Institute of Technology Durgapur, Durgapur 713209, West Bengal, India

^*Corresponding author. Email: liaohuchang@163.com

DOI

10.2991/ijcis.d.200527.002How to use a DOI?

Keywords

Bayesian approximation; Borda method; Double hierarchy hesitant fuzzy linguistic term set; Evidence theory; Group decision-making; Maclaurin symmetric mean

Abstract

As an attractive generalization to hesitant fuzzy linguistic term set, double hierarchy hesitant fuzzy linguistic term set (DHHFLTS) is used to represent complex linguistic expressions by providing rich and flexible context. Previous studies on DHHFLTS show that aggregation of preference information does not consider the interrelationship among attributes. Motivated by this challenge, in this paper, we extend the generalized Maclaurin symmetric mean (GMSM) operator to DHHFLTS. The GMSM operator is highly generalized and captures the interrelationship among attributes effectively. The attributes' weight values are determined by using statistical variance method under DHHFLTS context. The decision makers' weights are calculated by using newly proposed evidence theory-based Bayesian approximation method with double hierarchy preference information. A new extension to the Borda method is provided under DHHFLTS context for prioritizing objects. Also, the applicability of the proposed method is demonstrated by using a green supplier selection problem for a sports company. Finally, the superiorities and limitations of the proposed method are discussed in comparison with similar methods.

Copyright

© 2020 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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TY  - JOUR
AU  - Raghunathan Krishankumar
AU  - Kattur Soundarapandian Ravichandran
AU  - Huchang Liao
AU  - Samarjit Kar
PY  - 2020
DA  - 2020/06/12
TI  - An Integrated Decision Framework for Group Decision-Making with Double Hierarchy Hesitant Fuzzy Linguistic Information and Unknown Weights
JO  - International Journal of Computational Intelligence Systems
SP  - 624
EP  - 637
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200527.002
DO  - 10.2991/ijcis.d.200527.002
ID  - Krishankumar2020
ER  -