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𝒢Θτi⋆τj-Fuzzy Closure Operator.
- Source :
-
New Mathematics & Natural Computation . Mar2020, Vol. 16 Issue 1, p123-141. 19p. - Publication Year :
- 2020
-
Abstract
- In this paper, a new class of fuzzy ideal sets, namely the r - (τ i , τ j) - θ -generalized fuzzy ideal closed sets, is introduced for fuzzy bitopological spaces in Šostak sense. This class falls strictly in between the class of r - (τ i , τ j) - θ -fuzzy ideal closed sets and the class of r - (τ i , τ j) -generalized fuzzy ideal closed sets. Furthermore, by using the class of r - (τ i , τ j) - θ -generalized fuzzy ideal closed sets we establish a new fuzzy closure operator which generates fuzzy bitopological spaces in Šostak sense. Finally, the (i , j) strongly- θ -fuzzy ideal continuous, (i , j) - θ -generalized fuzzy ideal continuous and (i , j) - θ -generalized fuzzy ideal irresolute mappings are introduced, and we show the (i , j) - θ -generalized fuzzy ideal continuous properly fuzzy ideal bitopological spaces in Šostak sense (for short, fibtss) in between (j , i) strongly- θ -fuzzy ideal continuous and (i , j) -generalized fuzzy continuous mappings. [ABSTRACT FROM AUTHOR]
- Subjects :
- *TOPOLOGICAL spaces
*FUZZY sets
Subjects
Details
- Language :
- English
- ISSN :
- 17930057
- Volume :
- 16
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- New Mathematics & Natural Computation
- Publication Type :
- Academic Journal
- Accession number :
- 142298077
- Full Text :
- https://doi.org/10.1142/S1793005720500088