A New Product for Soft Sets with its Decision-Making: Soft Gamma-Product
Abstract
Soft sets provide a strong mathematical foundation for managing uncertainty and give creative answers to parametric data challenges. In soft set theory, soft set operations are essential components. The “soft gamma-product,” a novel product operation for soft sets, is presented in this study along with a detailed analysis of its algebraic features with respect to different kinds of soft equalities and subsets. We further explore the soft gamma-product’s relation with other soft set operations by examining its distributions over other soft set activities. Using the uni-int operator and uni-int decision function within the soft gamma-product for the uni-int decision-making approach, which finds an ideal collection of components from accessible possibilities, we end with an example showing the method's efficacy of many applications. Since the theoretical underpinnings of soft computing techniques are based on sound mathematical concepts, this study makes a substantial contribution to the literature on soft sets.
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