JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (2): 114-118.doi: 10.6040/j.issn.1671-9352.0.2014.486

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Characterization of L-fuzzifying topological spaces

YANG Xiao-fei   

  1. College of Science, Xian Polytechnic University, Xian 710048, Shaanxi, China
  • Received:2014-11-04 Online:2016-02-16 Published:2016-03-11

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Abstract: The concept of fuzzifying topological filter-convergence spaces is introduced, and then it is proved that fuzzifying topological filter-convergence spaces are categorically isomorphic to L-fuzzifying topological spaces. The relationship between fuzzifying topological filter-convergence spaces and other limit structures is established. Finally, it is shown that fuzzifying topological filter-convergence theory is compatible with fuzzifying topological net-convergence theory.

Key words: fuzzifying topological filter-convergence space, L-fuzzifying topological space, isomorphism, fuzzifying topological net-convergence space

CLC Number: 

  • O189.1
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