Further study on $(L,M)$-fuzzy topologies and $(L,M)$-fuzzy neighborhood systems

نویسندگان

  • Gui-xiu Chen College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, P. R. China
  • Hu Zhao College of Mathematics and Information Science, Shaanxi Normal Uni- versity, Xi'an, 710062, P. R. China and School of Science, Xian Polytechnic University, Xian 710048, P.R .China
  • Sheng-gang Li College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, P. R. China
چکیده مقاله:

Following the idea of $L$-fuzzy neighborhood system as introduced byFu-Gui Shi, and its generalization to $(L,M)$-fuzzy neighborhood system, the relationship between  $(L,M)$-fuzzy topology and $(L,M)$-fuzzy neighborhood system will be further studied. As an application of the obtained results, we will describe the initial structures of $(L,M)$-fuzzy neighborhood subspaces and $(L,M)$-fuzzy topological product spaces.

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further study on $(l,m)$-fuzzy topologies and $(l,m)$-fuzzy neighborhood systems

following the idea of $l$-fuzzy neighborhood system as introduced byfu-gui shi, and its generalization to $(l,m)$-fuzzy neighborhood system, the relationship between  $(l,m)$-fuzzy topology and $(l,m)$-fuzzy neighborhood system will be further studied. as an application of the obtained results, we will describe the initial structures of $(l,m)$-fuzzy neighborhood subspaces and $(l,m)$-fuzzy top...

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عنوان ژورنال

دوره 11  شماره 3

صفحات  109- 123

تاریخ انتشار 2014-06-30

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