Title: Inverse fuzzy soft set and its application in decision making

Authors: Ahmed Mostafa Khalil; Nasruddin Hassan

Addresses: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt; School of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710119, China ' School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia

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.

Keywords: algorithm; decision making; inverse soft set; inverse fuzzy soft set.

DOI: 10.1504/IJIDS.2019.096630

International Journal of Information and Decision Sciences, 2019 Vol.11 No.1, pp.73 - 92

Received: 15 Aug 2016
Accepted: 24 Aug 2017
Published online: 07 Dec 2018 *

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