New Framework for FCMs Using Dual Hesitant Fuzzy Sets with an Analysis of Risk Factors in Emergency Event

Authors

Zengwen Wang^1, , Jian Wu^1, , Xiaodi Liu^{2, 3, *}, Harish Garg^4,

¹Researching Center of Social Security, Wuhan University, Hubei, 430072, China

²School of Mathematics and Physics, Anhui University of Technology, Ma'anshan, 243002, China

³Key Laboratory of Multidisciplinary Management and Control of Complex Systems of Anhui Higher Education Institutes, Anhui University of Technology, Ma'anshan, 243002, China

⁴School of Mathematics, Thapar Institute of Engineering and Technology, Deemed University, Patiala, 147004, India

^*Corresponding author. Email: lxy1160@163.com

DOI

10.2991/ijcis.d.201015.001How to use a DOI?

Keywords

Dual hesitant fuzzy sets; Fuzzy cognitive maps; Dual hesitant fuzzy cognitive maps; Similarity measure; Emergency decision-making

Abstract

As a kind of soft computing tool with strong knowledge representation and causal reasoning ability, fuzzy cognitive maps (FCMs) is a product of fuzzy logic and neural network. A limitation of the current FCMs method is its inability to model the uncertainty that is introduced into a complex system due to the hesitancy of people. Dual hesitant fuzzy sets (DHFSs), which considers the membership and nonmembership degrees by a set of possible values respectively, is an effective tool to model the hesitancy and epistemic uncertainty. Thus, a novel extension of FCMs model called dual hesitant fuzzy cognitive maps (DHFCMs) is proposed in this paper. Firstly, motivated by the idea of Technique of Order Preference Similarity to the Ideal Solution (TOPSIS) method, a new similarity measure based on dual hesitant fuzzy distance measure is put forward, and its properties are also discussed. Then, detailed procedure and algorithm for DHFCMs are specified. Moreover, the application steps of the proposed method are provided. Finally, a case study on the huge explosion at Tianjin Port in China in 2015 is given to illustrate the rationality and effectiveness of the proposed method.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

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/).

Download article (PDF)
View full text (HTML)

TY  - JOUR
AU  - Zengwen Wang
AU  - Jian Wu
AU  - Xiaodi Liu
AU  - Harish Garg
PY  - 2020
DA  - 2020/10/24
TI  - New Framework for FCMs Using Dual Hesitant Fuzzy Sets with an Analysis of Risk Factors in Emergency Event
JO  - International Journal of Computational Intelligence Systems
SP  - 67
EP  - 78
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201015.001
DO  - 10.2991/ijcis.d.201015.001
ID  - Wang2020
ER  -