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A new type of generalized closed set via γ-open set in a fuzzy bitopological space

dc.creatorDas, Birojit
dc.creatorBhattacharya, Baby
dc.creatorChakaraborty, Jayasree
dc.creatorGanapathiraju, Sree Anusha
dc.creatorPaul, Arnab
dc.date2019-08-14
dc.date.accessioned2019-09-11T12:05:53Z
dc.date.available2019-09-11T12:05:53Z
dc.identifierhttp://www.revistaproyecciones.cl/article/view/2830
dc.identifier10.22199/issn.0717-6279-2019-03-0033
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/108846
dc.descriptionThis paper aims to present the notion of (i, j)*-fuzzy γ-open set in a fuzzy bitopological space as a parallel form of (i, j)-fuzzy γ-open set due to Tripathy and Debnath (2013) [17] and show that both of them are independent concepts. Then we extend our study to (i, j)*-generalized fuzzy γ-closed set and (i, j)*-γ-generalized fuzzy closed set. We show that (i, j)*-γ-generalized fuzzy closed set and (i, j)*-generalized fuzzy γ-closed set are also independent of each other in nature. Though every (i, j)*-fuzzy γ-closed set is a (i, j)*-generalized fuzzy γ-closed set but with (i, j)*-γ-generalized fuzzy closed set, the same relation is not linear. Similarly though every (i, j)*-fuzzy closed set is (i, j)*-γ-generalized fuzzy closed set but it is independent to (i, j)*-generalized fuzzy γ-closed set. Various properties related to (i, j)*-generalized fuzzy γ-closed set are also studied. Finally, (i, j)*-generalized fuzzy γ-continuous function and (i, j)*-generalized fuzzy γ-irresolute functions are introduced and interrelationships among them are established. We characterized these functions in different directions for different applications.en-US
dc.descriptionThis paper aims to present the notion of  (i,j)* fuzzy γ-open set in a fuzzy bitopological space as a parallel form of  (i,j) fuzzy γ-open set due to Tripathy and Debnath (2013)  [Tripathy, B. C., & Debnath, S. (2013),   γ-Open sets and γ-Continuous Mappings in Fuzzy Bitopological Spaces, Journal of Intelligence and Fuzzy Systems, 24, 631-635] and show that both of them are independent concepts. Then we extend our study to (i,j)* generalized fuzzy γ-closed set and (i,j)* γ-generalized fuzzy closed set. We show that (i,j)* γ-generalized fuzzy closed set and (i,j)* generalized fuzzy γ-closed set are also independent of each other in nature. Though every (i,j)* fuzzy γ-closed is a (i,j)* generalized fuzzy γ-closed set but with (i,j)* γ-generalized fuzzy closed set, the same relation is not linear. Similarly though every (i,j)* fuzzy closed set is (i,j)* γ-generalized fuzzy closed set but it is independent to (i,j)* generalized fuzzy γ-closed set. Various properties related to (i,j)* generalized fuzzy γ-closed set are also studied. Finally, (i,j)* generalized fuzzy γ-continuous function and (i,j)* generalized fuzzy γ-irresolute functions are introduced and interrelationships among them are established. We characterized these functions in different directions for different application.es-ES
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttp://www.revistaproyecciones.cl/article/view/2830/3219
dc.rightsDerechos de autor 2019 Birojit Das, Baby Bhattacharya, Jayasree Chakraborty, G. Sree Anusha, Arnab Paules-ES
dc.rightshttp://creativecommons.org/licenses/by/4.0es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 38 No 3 (2019); 511-536en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 38 Núm. 3 (2019); 511-536es-ES
dc.source0717-6279
dc.source0716-0917
dc.titleA new type of generalized closed set via γ-open set in a fuzzy bitopological spaceen-US
dc.titleA new type of generalized closed set via γ-open set in a fuzzy bitopological spacees-ES
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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