C̆ech Fuzzy Soft Closure Spaces

In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces. It has been shown that for each C̆ech fuzzy soft closure space there is an associated fuzzy soft topologic...

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Published inInternational journal of fuzzy system applications Vol. 7; no. 2; pp. 62 - 74
Main Author Majeed, Rasha Naser
Format Journal Article
LanguageEnglish
Published Hershey IGI Global 01.04.2018
Subjects
Fuzzy sets
Mathematics
Set theory
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ISSN2156-177X
2156-1761
DOI10.4018/IJFSA.2018040103

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Abstract In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces. It has been shown that for each C̆ech fuzzy soft closure space there is an associated fuzzy soft topological space. In addition, the concepts of a subspace and a sum are defined in C̆ech fuzzy soft closure space. Finally, fuzzy soft continuous (respectively, open and closed) mapping between C̆ech fuzzy soft closure spaces are introduced. Mathematics Subject Classification: 54A40, 54B05, 54C05.
AbstractList In this paper, the C̆ech fuzzy soft closure spaces are defined and their basic properties are studied. Closed (respectively, open) fuzzy soft sets is defined in C̆ech fuzzy-soft closure spaces. It has been shown that for each C̆ech fuzzy soft closure space there is an associated fuzzy soft topological space. In addition, the concepts of a subspace and a sum are defined in C̆ech fuzzy soft closure space. Finally, fuzzy soft continuous (respectively, open and closed) mapping between C̆ech fuzzy soft closure spaces are introduced. Mathematics Subject Classification: 54A40, 54B05, 54C05.
Author Majeed, Rasha Naser
AuthorAffiliation Mathematics Department, , College of Education for Pure Sciences Ibn Al- Haitham, Baghdad University, Baghdad, Iraq
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SubjectTerms Fuzzy sets
Mathematics
Set theory
Title C̆ech Fuzzy Soft Closure Spaces
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