Inverse fuzzy soft set and its application in decision making. (2019)

• Record Type: Journal Article
• Authors: Khalil, Ahmed Mostafa; Hassan, Nasruddin
• Is Part Of: International journal of information and decision sciences. Volume 11:Number 1(2019)
• Page Start: 73
• Page End: 92
• Publication Date: 2019
• Subjects: algorithm -- decision making -- inverse soft set -- inverse fuzzy soft set; Decision making -- Periodicals; Decision support systems -- Periodicals; Management science -- Periodicals; 658.40305
• Languages: English
• ISSNs: 1756-7017

Abstract

Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we introduce a new soft set called an inverse fuzzy soft set, along with its properties, characteristics, and operations. Then we construct an algorithm using max-min and min-max decision of inverse fuzzy soft set for a fuzzy decision-making problem. Finally, we apply the algorithm to two decision-making problems to illustrate its applicability. It is shown that our proposed approach is viable and provides decision makers a more mathematical insight before making decisions on their options.