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

Basheer, Rehab; Khalil, Ahmed M.; Zahran, Ahmed M.

doi:10.21608/absb.2022.111240.1163

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

Document Type : Original Article

Authors

¹ Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

² Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

10.21608/absb.2022.111240.1163

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.

Keywords

Main Subjects

Mathematics

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