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
Al-Azhar Bulletin of Science
Article 4, Volume 2022, Issue 6, June 2022, Page 41-55 PDF (1.02 MB)
Document Type: Original Article
DOI: 10.21608/absb.2022.111240.1163
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Authors
Rehab Basheer ¹; Ahmed M. Khalil²; Ahmed M. Zahran²
¹Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
²Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
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
Fuzzy set; fuzzy parameter set; interval-valued fuzzy; belief interval- valued fuzzy set; generalized belief interval-valued soft set; and decision-making


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