Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Ma, Weimina | Lei, Wenjinga; * | Sun, Bingzhenb
Affiliations: [a] School of Economics and Management, Tongji University, Shanghai, China | [b] School of Economics and Management, Xidian University, Xian, Shaanxi, China
Correspondence: [*] Corresponding author. Wenjing Lei, School of Economics and Management, Tongji University, Shanghai 200092, China. E-mail: [email protected].
Abstract: Three-way decisions, deduced from decision-theoretic rough set (DTRS), provide useful approaches for uncertain decision-making problems from a new perspective. Considering situations where decision-makers hesitate among several evaluation values, the hesitant fuzzy set, an innovative extension of fuzzy set, is introduced into multigranulation DTRS under multi-criteria group decision-making (MCGDM) environment. More specifically, we incorporate DTRS with hesitant fuzzy information into MCGDM in this paper, and explore the related decision-making mechanism. Firstly, the variable precision multigranulation hesitant fuzzy DTRS over two universes is defined by utilizing hesitant relation and conditional probability of a hesitant fuzzy event, and the associated decision rules and properties are derived and carefully investigated. Accordingly, as two special types, optimistic and pessimistic multigranulation hesitant fuzzy DTRS over two universes are constructed similarly at the same time. Then, different from loss functions with fixed values in most of the existing DTRS models, the loss functions in the paper are not given directly but calculated from evaluation values expressed by hesitant fuzzy elements. With the aid of the distance measure of hesitant fuzzy elements, the calculation of loss functions is presented. Furthermore, the three-way group decision-making model based on multigranulation hesitant fuzzy DTRS over two universes is established to address MCGDM problems, and key steps of this model are designed. Finally, we elaborate the application of the model by an example of green supplier selection problem.
Keywords: Three-way decisions, rough set over two universes, hesitant fuzzy rough set, multigranulation, multi-criteria group decision-making, green supplier selection
DOI: 10.3233/JIFS-190970
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 2165-2179, 2020
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
[email protected]
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office [email protected]
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
[email protected]
For editorial issues, like the status of your submitted paper or proposals, write to [email protected]
如果您在出版方面需要帮助或有任何建, 件至: [email protected]