A new type of generalized closed set via γ-open set in a fuzzy bitopological space
A new type of generalized closed set via γ-open set in a fuzzy bitopological space
| dc.creator | Das, Birojit | |
| dc.creator | Bhattacharya, Baby | |
| dc.creator | Chakaraborty, Jayasree | |
| dc.creator | Ganapathiraju, Sree Anusha | |
| dc.creator | Paul, Arnab | |
| dc.date | 2019-08-14 | |
| dc.date.accessioned | 2019-09-11T12:05:53Z | |
| dc.date.available | 2019-09-11T12:05:53Z | |
| dc.identifier | http://www.revistaproyecciones.cl/article/view/2830 | |
| dc.identifier | 10.22199/issn.0717-6279-2019-03-0033 | |
| dc.identifier.uri | https://revistaschilenas.uchile.cl/handle/2250/108846 | |
| dc.description | This 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.description | This 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.format | application/pdf | |
| dc.language | eng | |
| dc.publisher | Universidad Católica del Norte. | es-ES |
| dc.relation | http://www.revistaproyecciones.cl/article/view/2830/3219 | |
| dc.rights | Derechos de autor 2019 Birojit Das, Baby Bhattacharya, Jayasree Chakraborty, G. Sree Anusha, Arnab Paul | es-ES |
| dc.rights | http://creativecommons.org/licenses/by/4.0 | es-ES |
| dc.source | Proyecciones. Journal of Mathematics; Vol 38 No 3 (2019); 511-536 | en-US |
| dc.source | Proyecciones. Revista de Matemática; Vol. 38 Núm. 3 (2019); 511-536 | es-ES |
| dc.source | 0717-6279 | |
| dc.source | 0716-0917 | |
| dc.title | A new type of generalized closed set via γ-open set in a fuzzy bitopological space | en-US |
| dc.title | A new type of generalized closed set via γ-open set in a fuzzy bitopological space | es-ES |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion | |
| dc.type | Artículo revisado por pares | es-ES |
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Proyecciones: Journal of Mathematics
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