Information algebra system of soft sets

TL;DR

This paper demonstrates that soft set systems over a universe and parameter set form an information algebra, with finite parameter subsets creating compact information algebras, enhancing algebraic frameworks for local computation.

Contribution

It establishes that soft set systems are valid information algebras and introduces the concept of compact information algebras within this framework.

Findings

Soft set systems form an information algebra.

Finite parameter subsets create compact information algebras.

Provides a new algebraic structure for soft sets.

Abstract

Information algebra is algebraic structure for local computation and inference. Given an initial universe set and a parameter set, we show that a soft set system over them is an information algebra. Moreover, in a soft set system, the family of all soft sets with a finite parameter subset can form a compact information algebra.