Stratified $(L,M)$-fuzzy Q-convergence spaces

Pang, Bin; Zhao, Yi

doi:10.22111/ijfs.2016.2598

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	Stratified $(L,M)$-fuzzy Q-convergence spaces
Iranian Journal of Fuzzy Systems
مقاله 8، دوره 13، شماره 4، آبان 2016، صفحه 95-111 اصل مقاله (473.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2598
نویسندگان
Bin Pang؛ Yi Zhao
Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
چکیده
This paper presents the concepts of $(L,M)$-fuzzy Q-convergence spaces and stratified $(L,M)$-fuzzy Q-convergence spaces. It is shown that the category of stratified $(L,M)$-fuzzy Q-convergence spaces is a bireflective subcategory of the category of $(L,M)$-fuzzy Q-convergence spaces, and the former is a Cartesian-closed topological category. Also, it is proved that the category of stratified $(L,M)$-fuzzy topological spaces can be embedded in the category of stratified $(L,M)$-fuzzy Q-convergence spaces as a reflective subcategory, and the former is isomorphic to the category of topological stratified $(L,M)$-fuzzy Q-convergence spaces.
کلیدواژه‌ها
(Stratified) $(L؛ M)$-fuzzy topology؛ M)$-fuzzy Q-convergence structure؛ Topological category؛ Cartesian-closedness

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Stratified $(L,M)$-fuzzy Q-convergence spaces