A FUZZY-SOFT-SET THEORYAPPROACH FOR SOLVING DECISION-MAKING PROBLEMS ON CERTAIN HYBRID SET MODEL

Shamshad Husain; Vipin Kumar  Tyagi; Mridul Kumar Gupta

doi:10.29121/ijoest.v7.i5.2023.505

Authors

Shamshad Husain SBAS, Shobhit Institute of Engineering and Technology, Deemed to be University, Meerut, U.P., India
Vipin Kumar Tyagi SBAS, Shobhit Institute of Engineering and Technology, Deemed to be University, Meerut, U.P., India
Mridul Kumar Gupta Department of Mathematics, C.C.S. University, Meerut, 250001, U.P., India

DOI:

https://doi.org/10.29121/ijoest.v7.i5.2023.505

Keywords:

Fuzzy Set, Fuzzy Soft Set, Rough Soft Set, Decision-Making, Hybrid Decision-Making Model

Abstract

Uncertainty is a key aspect that arises in any actual mathematical model and may lead to a change in the situation. Because of the presence of uncertainty in the model, it is particularly challenging to manage these models using conventional techniques. Fuzzy set theory and its extensions, such as intuitionistic fuzzy set, hesitant fuzzy set, rough fuzzy set, and hybrid fuzzy-soft-set theory, have been included into mathematics to manage this uncertainty. Applications of these concepts for the expansion of fuzzy set information, particularly the application to circumstances involving decision-making problems, have made some headway in this article in terms of their practicality. The methods for generating judgments based on (fuzzy) soft sets, including soft, rough sets and rough, soft sets, are also examined in this article. Innovative techniques and numerical examples have been provided in this study, with a focus on the use of hybrid models to address decision-making issues. It might serve as the complexity of hybrid soft set models that address decision-making issues.

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