Distance, entropy and similarity measures of Type-2 soft sets

TL;DR

This paper introduces new distance, entropy, and similarity measures for Type-2 soft sets, addressing limitations of existing measures and demonstrating their application in decision-making scenarios.

Contribution

It proposes axiomatic definitions and new measures for Type-2 soft sets, enhancing their theoretical framework and practical utility.

Findings

New distance, entropy, and similarity measures for Type-2 soft sets

Identification of shortcomings in existing measures for Type-1 soft sets

Application of a similarity measure in a decision-making problem

Abstract

The concept of Type-2 soft sets had been proposed as a generalization of Molodstov's soft sets. In this paper some shortcomings of some existing distance measures for Type-1 soft sets have been shown and accordingly some new distance measures have been proposed. The axiomatic definitions for distance, entropy and similarity measures for Type-2 soft sets have been introduced and a couple of such measures have been defined. Also the applicability of one of the proposed similarity measures have been demonstrated by showing its utility as an effective tool in a decision making problem.