A novel kind of generalized belief interval-valued soft set and its application in decision- making
Basheer, R., Khalil, A., Zahran, A. (2022). A novel kind of generalized belief interval-valued soft set and its application in decision- making. EKB Journal Management System, 33(Issue 1-B), 41-55. doi: 10.21608/absb.2022.111240.1163
Rehab Basheer; Ahmed M. Khalil; Ahmed M. Zahran. "A novel kind of generalized belief interval-valued soft set and its application in decision- making". EKB Journal Management System, 33, Issue 1-B, 2022, 41-55. doi: 10.21608/absb.2022.111240.1163
Basheer, R., Khalil, A., Zahran, A. (2022). 'A novel kind of generalized belief interval-valued soft set and its application in decision- making', EKB Journal Management System, 33(Issue 1-B), pp. 41-55. doi: 10.21608/absb.2022.111240.1163
Basheer, R., Khalil, A., Zahran, A. A novel kind of generalized belief interval-valued soft set and its application in decision- making. EKB Journal Management System, 2022; 33(Issue 1-B): 41-55. 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 33, Issue 1-B, June 2022, Page 41-55  XML PDF (1.02 MB)
Document Type: Original Article
DOI: 10.21608/absb.2022.111240.1163
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Authors
Rehab Basheer email 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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