# Inverse fuzzy soft set and its application in decision making

Ahmed Mostafa Khalil, Nasruddin Hassan

Research output: Contribution to journalArticle

2 Citations (Scopus)

### 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.

Original language English 73-92 20 International Journal of Information and Decision Sciences 11 1 https://doi.org/10.1504/IJIDS.2019.096625 Published - 1 Jan 2019

Decision making
Decision maker
Vagueness

### Keywords

• Algorithm
• Decision making
• Inverse fuzzy soft set
• Inverse soft set

### ASJC Scopus subject areas

• Computer Science Applications
• Strategy and Management
• Information Systems and Management
• Management of Technology and Innovation

### Cite this

Inverse fuzzy soft set and its application in decision making. / Khalil, Ahmed Mostafa; Hassan, Nasruddin.

In: International Journal of Information and Decision Sciences, Vol. 11, No. 1, 01.01.2019, p. 73-92.

Research output: Contribution to journalArticle

Khalil, Ahmed Mostafa ; Hassan, Nasruddin. / Inverse fuzzy soft set and its application in decision making. In: International Journal of Information and Decision Sciences. 2019 ; Vol. 11, No. 1. pp. 73-92.
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