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Inverse fuzzy soft set and its application in decision making

Author

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  • Ahmed Mostafa Khalil
  • Nasruddin Hassan

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.

Suggested Citation

  • Ahmed Mostafa Khalil & Nasruddin Hassan, 2019. "Inverse fuzzy soft set and its application in decision making," International Journal of Information and Decision Sciences, Inderscience Enterprises Ltd, vol. 11(1), pages 73-92.
    • Handle: RePEc:ids:ijidsc:v:11:y:2019:i:1:p:73-92
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