International Journal of Computational Intelligence Systems

Volume 11, Issue 1, 2018, Pages 101 - 119

Missing values estimation and consensus building for incomplete hesitant fuzzy preference relations with multiplicative consistency

Authors
Yejun Xu1, xuyejohn@163.com, Caiyun Li1, Xiaowei Wen2, *, wxwcn@126.com
1Business School, Hohai University, Nanjing, 211100, PR China
2College of Economic and Management, South China Agricultural University, Guangzhou, 510642, P R China
*corresponding author. E-mail address: xuyejohn@163.com, wxwcn@126.com
Corresponding Author
Xiaowei Wenwxwcn@126.com
Received 2 June 2017, Accepted 14 September 2017, Available Online 1 January 2018.
DOI
https://doi.org/10.2991/ijcis.11.1.9How to use a DOI?
Keywords
Hesitant fuzzy preference relation; Incomplete hesitant fuzzy preference relation; Multiplicative consistency; Group decision making; Consensus
Abstract

This paper proposes a decision support process for incomplete hesitant fuzzy preference relations (HFPRs). First, we present a revised definition of HFPRs, in which the values are not ordered for the hesitant fuzzy element. Second, we propose a method to normalize the HFPRs and estimate the missing elements in incomplete HFPRs based on multiplicative consistency. Based on this, a consensus model with incomplete HFPR is developed. A feedback mechanism is proposed to obtain a best choice with desired consensus level. Multiplicative consistency induced ordered weighted averaging (MC-IOWA) operator is used to aggregate the individual HFPRs into a collective one. A score HFPR is proposed for collective HFPR, and then the hesitant quantifier-guided non-dominance degrees (HQGNDD) of alternatives by using an OWA operator are obtained to rank the alternatives. Finally, a case study for evaluate the qualification of supply chain enterprises is provided to illustrate its application.

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
101 - 119
Publication Date
2018/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.11.1.9How 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  - Yejun Xu
AU  - Caiyun Li
AU  - Xiaowei Wen
PY  - 2018
DA  - 2018/01/01
TI  - Missing values estimation and consensus building for incomplete hesitant fuzzy preference relations with multiplicative consistency
JO  - International Journal of Computational Intelligence Systems
SP  - 101
EP  - 119
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.9
DO  - https://doi.org/10.2991/ijcis.11.1.9
ID  - Xu2018
ER  -