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Article type: Research Article
Authors: Khalil, Ahmed Mostafaa; b | Li, Sheng-Ganga | Li, Hong-Xiac | Ma, Sheng-Quand; *
Affiliations: [a] College of Mathematics and Information Science, Shaanxi Normal University, Xi’an, P.R. China | [b] Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut, Egypt | [c] School of Mathematics and Statistics, Long Dong University, Qingyang, China | [d] College of Information Science and Technology, Hainan Normal University, Haikou, China
Correspondence: [*] Corresponding author. Sheng-Quan Ma, College of Information Science and Technology, Hainan Normal University, Haikou 571158, China. Tel.: +862989237362; E-mail: mashengquan@163.com.
Abstract: The major concern of this paper is to highlight the notion of possibility m-polar fuzzy soft set (because it is useful in decision-making and other similar problems). For convenience of practical applications, several operations (such as subset, equal, complement, union, intersection, inf product, and sup product) over the possibility m-polar fuzzy soft sets are introduced. We present two algorithms by using inf product or sup product operations of possibility m-polar fuzzy soft sets for fuzzy decision-making problem. Finally, we construct an algorithm using a possibility m-polar fuzzy soft set to solve the decision-making problems and illustrate its applicability through a numerical example. From the study, we conclude that the proposed approach is viable in order to handle the uncertainties during the decision-making problems.
Keywords: m-polar fuzzy set, m-polar fuzzy soft set, possibility m-polar fuzzy soft set, decision-making
DOI: 10.3233/JIFS-181769
Journal: Journal of Intelligent & Fuzzy Systems, vol. 37, no. 1, pp. 929-940, 2019
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