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Publication Date
Thu Sep 30 2021
Journal Name
Iraqi Journal Of Science
Volume
62
Issue Number
9
DOI
10.24996/ijs.2021.62.9.18
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ijs-3075
Compactness Property of Fuzzy Soft Metric Space and Fuzzy Soft Continuous Function
Fuzzy Soft Metric Space
Compact fuzzy soft metric space
Sequentially compact fuzzy soft metric space
Fuzzy soft continuous function
Raghad I.
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      The theories of metric spaces and fuzzy metric spaces are crucial topics in mathematics.   

Compactness is one of the most important and fundamental properties that have been widely used in Functional Analysis. In this paper, the definition of compact fuzzy soft metric space is introduced and some of its important theorems are investigated. Also, sequentially compact fuzzy soft metric space and locally compact fuzzy soft metric space are defined and the relationships between them are studied. Moreover, the relationships between each of the previous two concepts and several other known concepts are investigated separately. Besides, the compact fuzzy soft continuous functions are studied and some essential theorems are proved.

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