A study on central soft sets: Definitions and basic operations

TL;DR

This paper introduces central soft sets for decision making, explores their properties, and presents an algorithm to solve related problems, enhancing soft set theory applications.

Contribution

It defines central soft sets, studies their operations, and develops an algorithm for decision making, expanding soft set theory.

Findings

Properties of basic operations on central soft sets are established

Classic soft set operations can be derived from central soft sets

An algorithm for decision making using central soft sets is proposed

Abstract

In this paper, a new kind of soft sets related with some common decision making problems in real life called central soft sets is introduced. Properties of some basic operations on central soft sets are shown. It is investigated that some classic operations between soft sets can be obtained by central soft sets with selecting different central sets. We initiate the concepts of an evaluation system for a parameters set and its optional solutions. An algorithm is presented to solve such decision making problems.