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

نویسندگان

  • Bin Pang Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
  • Yi Zhao Shenzhen Graduate School, Harbin Institute of Technology, 518055 Shen- zhen, P.R. China
چکیده مقاله:

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.

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عنوان ژورنال

دوره 13  شماره 4

صفحات  95- 111

تاریخ انتشار 2016-08-30

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