A novel kind of generalized belief interval-valued soft set and its application in decision- making

Authors

Rehab Basheer, Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, EgyptFollow
Ahmed Khalil, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow
Ahmed Zahran, Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, EgyptFollow

Corresponding Author

Basheer, Rehab

Document Type

Original Article

Subject Areas

Mathematics, Statistics, Computer Science, Physics and Astronomy

Keywords

Fuzzy Set; fuzzy parameter set; interval-valued fuzzy; belief interval- valued fuzzy set; generalized belief interval-valued soft set; and decision-making

Abstract

In this paper, we introduce the novel concept of generalized belief interval-valued soft set (briefly, GBIVSS) and examine their properties. Also, we define the nine types of operations (for example, subset, equal, union, intersection, restricted union, extended intersection, complement, soft max-AND, and soft min-OR) on the GBIVSS. The basic theoretical of the above nine operations are given. Based on the concept of GBIVSS, we construct an algorithm to solve the soft decision-making problem, and extended their applicability with help of illustrative examples. Finally, a comparative analysis study has been constructed and compared with the result of Bashir et al.’s approach.

How to Cite This Article

Basheer, Rehab; Khalil, Ahmed; and Zahran, Ahmed (2022) "A novel kind of generalized belief interval-valued soft set and its application in decision- making," Al-Azhar Bulletin of Science: Vol. 33: Iss. 1, Article 4.
DOI: https://doi.org/10.21608/absb.2022.111240.1163