arXiv subjects

Xuechong Guan

Publications and source records attributed to Xuechong Guan.

5 recordsLinked to original sources

arXiv2026

On the Relationship Between Semiring-Induced Valuation Algebra Isomorphisms and Semiring Isomorphisms

This paper establishes a bidirectional relationship between isomorphisms of semirings and isomorphisms of their induced valuation algebras. We show that a semiring isomorphism is sufficient for a valuation algebra isomorphism. Conversely, for additively idempotent semirings without multiplicatively idempotent zero divisors, the existence of a valuation algebra isomorphism implies that the underlying semirings are isomorphic.

math.RA↗

arXiv2021

Comparison of Two Types of Separation Axioms in Soft Topological Spaces

In the study of soft topological spaces, two types of separation axioms have given if soft points and single point soft sets have been taken as separated objects respectively. In this paper, some examples and properties are given to explore differences between separation axioms given in \cite{topological,Separation}.

math.GN↗

arXiv2015

A study on central soft sets: Definitions and basic operations

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.

cs.LO↗

arXiv2012

Information algebra system of soft sets

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.

cs.IT↗

arXiv2012

Continuity in Information Algebras

In this paper, the continuity and strong continuity in domain-free information algebras and labeled information algebras are introduced respectively. A more general concept of continuous function which is defined between two domain-free continuous information algebras is presented. It is shown that, with the operations combination and focusing, the set of all continuous functions between two domain-free s-continuous information algebras forms a new s-continuous information algebra. By studying the relationship between domain-free information algebras and labeled information algebras, it is demonstrated that they do correspond to each other on s-compactness.

cs.AI↗