A Novel Decision Making Model for Selection Procedure of Artificial Intelligence Robot Through the Hyperbolic Fuzzy Soft Set

Abstract

In this study we conduct a detail of examination of hyperbolic fuzzy set. In prior research several approaches related to parabolic fuzzy set have been discussed. To define hyperbolic fuzzy set the method used for hyperbolic fuzzy soft set must be modified. Soft set theory has recently been developed as a flexible mathematical tool for handling imprecise data and uncertainty. Fuzzy soft set which combines fuzzy set theory and soft set theory further enhance this capability. This study introduces hyperbolic fuzzy soft set which use hyperbolic member ship function to improve the modeling of complex uncertainty and ambiguity. The fundamental definitions properties and operations of hyperbolic fuzzy soft set are established including union, intersection, complement and Einstein aggregation operator. Illustrative example demonstrates the effectiveness of hyperbolic fuzzy soft set and decision making and data analysis applications. The proposed framework offers an innovative strategy for dealing with multi criteria decision making problem were hyperbolic functional from better represented uncertainty.