On Soft Mappings
Cigdem Gunduz Aras, Ayse Sonmez, and H\"useyin \c{C}akall{\i}
TL;DR
This paper introduces and studies properties of soft continuous, open, closed, and homeomorphic mappings within the framework of soft set theory, expanding the understanding of soft topological structures.
Contribution
It defines soft continuous mappings and explores their properties, including soft open, closed, and homeomorphic mappings, contributing to the theoretical development of soft topology.
Findings
Soft continuous mappings are characterized within soft set theory.
Properties of soft open and soft closed mappings are established.
Soft homeomorphisms are analyzed and their properties discussed.
Abstract
In this paper, we introduce soft continuous mappings which are defined over an initial universe set with a fixed set of parameters. Later we study soft open and soft closed mappings, soft homeomorphism and investigate some properties of these concepts.
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Taxonomy
TopicsFuzzy and Soft Set Theory