Contra-HyperSoft Set and Contra-SuperHyperSoft Set

Abstract

A Soft Set is a parameterized family of subsets of a universe, where each parameter selects elements relevant under that condition. A ContraSoft Set is a parameterized soft set in which each parameter’s values are linked with a contradiction degree, and a threshold mechanism is applied to retain only those values that do not exceed a specified level of contradiction with respect to a chosen reference. In this paper, we explore two new concepts, namely the Contra-HyperSoft Set and the Contra-SuperHyperSoft Set, extending the framework of contradiction-aware modeling.