Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On topological soft sets
View through CrossRef
Abstract
In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties. We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique. At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.
Walter de Gruyter GmbH
Title: On topological soft sets
Description:
Abstract
In this paper, we have established topological soft sets over generalized topological spaces and topological spaces, and studied its structural properties.
We have derived a topological soft set in any given topological space, and from this point of view, we have given necessary and sufficient condition for homeomorphic Alexandroff spaces using topological soft set technique.
At last, we have derived a topological soft set using closed sets in any topological space and we have given necessary and sufficient condition for arbitrary homeomorphic topological spaces using them.
Related Results
Between the Classes of Soft Open Sets and Soft Omega Open Sets
Between the Classes of Soft Open Sets and Soft Omega Open Sets
In this paper, we define the class of soft ω0-open sets. We show that this class forms a soft topology that is strictly between the classes of soft open sets and soft ω-open sets, ...
Boolean Algebra of Soft Q-Sets in Soft Topological Spaces
Boolean Algebra of Soft Q-Sets in Soft Topological Spaces
We define soft Q-sets as soft sets whose soft closure and soft interior are commutative. We show that the soft complement, soft closure, and soft interior of a soft Q-set are all s...
Weaker Forms of Soft Regular and Soft T2 Soft Topological Spaces
Weaker Forms of Soft Regular and Soft T2 Soft Topological Spaces
Soft ω-local indiscreetness as a weaker form of both soft local countability and soft local indiscreetness is introduced. Then soft ω-regularity as a weaker form of both soft regul...
Soft Semi ω-Open Sets
Soft Semi ω-Open Sets
In this paper, we introduce the class of soft semi ω-open sets of a soft topological space (X,τ,A), using soft ω-open sets. We show that the class of soft semi ω-open sets contains...
Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
Soft Complete Continuity and Soft Strong Continuity in Soft Topological Spaces
In this paper, we introduce soft complete continuity as a strong form of soft continuity and we introduce soft strong continuity as a strong form of soft complete continuity. Sever...
New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings
New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings
Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalis...
New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings
New Approaches of Generalised Fuzzy Soft sets on fuzzy Codes and Its Properties on Decision-Makings
Background Several scholars defined the concepts of fuzzy soft set theory and their application on decision-making problem. Based on this concept, researchers defined the generalis...
Some Conceptions of Soft Topological Transitivity
Some Conceptions of Soft Topological Transitivity
Abstract
This paper is a summarized study of a soft transitivity and soft sensitivity of a soft continuous mappings on a soft topological spaces, where this study wa...