Fuzzy lambda gXr-sets and generalization of closed sets ingeneralized fuzzy topological spaces
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Creator 1. Jayasree Chakraborty
2. Baby Bhattacharya
3. Arnab Paul
Title Fuzzy lambda gXr-sets and generalization of closed sets ingeneralized fuzzy topological spaces
Publisher Research and Development Office, Prince of Songkla University
Publication Year 2017
Journal Title Songklanakarin Journal of Science and Technology (SJST)
Journal Vol. 39
Journal No. 3
Page no. 275
Keyword fuzzy lambda gXr-set,fuzzy lambda Xg-closed set,fuzzy lambda gXr-closed set,lambda gXrgf-gX - closed set,fuzzy (lambda , )gXr Yg -continuity
ISSN 0125-3395
Abstract The aim of this paper is to introduce fuzzy ?gXr-set and to study some of its generalized forms. The structure constitutedby fuzzy ?gXr-set is also included in the treatise. Moreover we define generalized fuzzy gX -closed set and fuzzy ?gXr-closed set,which are the weaker forms of fuzzy gX -closed set. The above two weaker forms are independent to each other but jointly theyimply fuzzy gX -closed set. Finally, in addition, as the application of fuzzy ?gXr-closed set, we study fuzzy (? , )gXr Yg -continuity and fuzzy (? , ) gfgXr X Y? g g -continuity and a few of their properties. In general, fuzzy contra ( , ) X Y g g -continuitydoes not imply fuzzy ( , ) X Y g g -continuity, but this paper provides one condition under which the fact is true.
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