A New Approach to Hypersoft Sets and their Application in Decision Making

Authors

  • R.K. Mohanty
  • B.K. Tripathy

Keywords:

Soft set, hypersoft set, extended hypersoft set, fuzzy hypersoft set, decision making

Abstract

An uncertainty based model, parallel to the soft set (SS) model introduced by Molodtsov, was proposed by Smarandache in the form of hypersoft sets (HSS). The basic characteristic of both these models is that these are parametrized family of sets which are induced by the parameters involved. However, Smarandache had left open the basic operation on HSS. In this paper, we first redefine HSS using the characteristic function based approach, and through it standardize the basic operations like union, intersection and complementation, which are logical and uniform besides being easy to use. We further extend HSS to propose the notions of extended hypersoft set (EHSS) and fuzzy hypersoft set (FHSS). As an application, we propose a decision making algorithm on FHSS model and illustrate the process through an example. This is the first such algorithm using FHSS.

Published

2022-08-16