Generalized fuzzy closed sets in a fuzzy bitopological space via $$\gamma $$-open sets
| العنوان: | Generalized fuzzy closed sets in a fuzzy bitopological space via $$\gamma $$-open sets |
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| المؤلفون: | Binod Chandra Tripathy, Birojit Das, Baby Bhattacharya, Jayasree Chakraborty |
| المصدر: | Afrika Matematika. 32:333-345 |
| بيانات النشر: | Springer Science and Business Media LLC, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Discrete mathematics, Continuous function (set theory), Closed set, Mathematics::General Mathematics, General Mathematics, Open set, Type (model theory), Fuzzy logic, Bitopological space, ComputingMethodologies_PATTERNRECOGNITION, Closure operator, Point (geometry), ComputingMethodologies_GENERAL, Mathematics |
| الوصف: | The paper presents the notion of $$(i,j)^{*}~\gamma $$ -generalized fuzzy closed set in a fuzzy bitopological space considering a parallel form of (i, j) fuzzy $$\gamma $$ -open set. We introduce the idea of $$\gamma $$ -generalized fuzzy q-neighbourhood of a fuzzy point. Moreover, we study various related properties and cite some interesting results on this set. Also, we show that generalized fuzzy closed sets and $$\gamma $$ -generalized fuzzy closed sets are completely independent of each other in the same environment. Furthermore, we introduce the notion of $$\gamma $$ -generalized fuzzy continuous function in a fuzzy bitopological space. Finally, we propose a new type of closure operator and establish important results based on this concept. |
| تدمد: | 2190-7668 1012-9405 |
| الوصول الحر: | https://explore.openaire.eu/search/publication?articleId=doi_________::07da71391f72569aa0cb5f9c7917516fTest https://doi.org/10.1007/s13370-020-00829-7Test |
| حقوق: | CLOSED |
| رقم الانضمام: | edsair.doi...........07da71391f72569aa0cb5f9c7917516f |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 21907668 10129405 |
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