![](/images/graphics-bg.png)
Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS
Joint Authors
Yang, Miin-Shen
Hussain, Zahid
Ali, Mehboob
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-08-12
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Belief and plausibility measures in Dempster–Shafer theory (DST) and fuzzy sets are known as different approaches for representing partial, uncertainty, and imprecise information.
There are several generalizations of DST to fuzzy sets proposed in the literature.
But, less generalization of DST to intuitionistic fuzzy sets (IFSs), that can somehow present imprecise information better than fuzzy sets, was proposed.
In this paper, we first propose a simple and intuitive way to construct a generalization of DST to IFSs with degrees of belief and plausibility in terms of degrees of membership and nonmembership, respectively.
We then give belief and plausibility measures on IFSs and construct belief-plausibility intervals (BPIs) of IFSs.
Based on the constructed BPIs, we first use Hausdorff metric to define the distance between two BPIs and then establish similarity measures in the generalized context of DST to IFSs.
By employing the techniques of ordered preference similarity to ideal solution (TOPSIS), the proposed belief and plausibility measures on IFSs in the framework of DST enable us to construct a belief-plausibility TOPSIS for solving multicriteria decision-making problems.
Some examples are presented to manifest that the proposed method is reasonable, applicable, and well suited in the environment of IFSs in the framework of generalization of DST.
American Psychological Association (APA)
Yang, Miin-Shen& Hussain, Zahid& Ali, Mehboob. 2020. Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS. Complexity،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143922
Modern Language Association (MLA)
Yang, Miin-Shen…[et al.]. Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS. Complexity No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1143922
American Medical Association (AMA)
Yang, Miin-Shen& Hussain, Zahid& Ali, Mehboob. Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS. Complexity. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1143922
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1143922