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Compactness in soft $S$-metric spaces
Cigdem Gunduz Aras,Sadi Bayramov,Vefa Cafarli 원광대학교 기초자연과학연구소 2020 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.20 No.1
The first aim of this paper is to contribute for investigating on soft $S-$ metric space which is based on soft points of soft sets and to prove some important theorems on sequential compact and totally bounded in soft $S-$ metric space. Moreover, we introduce soft uniformly continuous mapping and examine some of its properties.
A Note on Bipolar Soft Supra Topological Spaces
ÇIĞDEM GÜNDÜZ ARAS,Sadi Bayramov,ARZU ERDEM COŞKUN 한국수학교육학회 2023 純粹 및 應用數學 Vol.30 No.4
In this paper, we present bipolar soft supra topological space and characterize the concepts of bipolar soft supra closure and bipolar soft supra interior. We connect bipolar soft supra topology and bipolar soft topology. We intoduce the concepts of bipolar soft supra continuous mapping and study the concept of bipolar soft supra compact topological space. We prove a result related to the image of the bipolar soft supra compact space. We identify the concepts of disconnected (connected) and strongly disconnected (strongly connected) space and obtain several results connecting among them herein. We clarify the relationships among these concepts by examples.
Some notes on compact sets in soft metric spaces
Cigdem Gunduz Aras,Murat Ibrahim Yazar,Sadi Bayramov 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.14 No.4
The first aim of this study is to define soft sequential compact metric spaces and to investigate some important theorems on soft sequential compact metric space. Second is to introduce $\tilde{\varepsilon}-$net and totally bounded soft metric space and study properties of this space. Third is to define Lebesque number for soft sets and soft uniformly continuous mapping and investigate some theorems in detail.
Cigdem Gunduz Aras,Taha Yasin Ozturk,Sadi Bayramov 원광대학교 기초자연과학연구소 2017 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.13 No.5
Soft topological spaces based on soft set theory which is a new mathematical tool for dealing with uncertainties. In this paper, the notions of $% \widetilde{I}_{\noindent \widetilde{c}}$ soft free ideal and soft $\widetilde{% c}-$ ideals are introduced. Also, soft ideal extension of a given soft topological space is investigated via the concept of soft ideals.