Degrees of continuous mappings, open mappings, and closed mappings in L-fuzzifying topological spaces

Bin Pang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Citations (Scopus)

Abstract

In this paper, we introduce L-continuity degree, L-openness degree, L-closedness degree of mappings between L-fuzzifying topological spaces. Moreover, we show that most of elementary results related to continuous mappings, open mappings, and closed mappings in general topology can be extended to L-fuzzifying topological spaces by means of the graded concepts.

Original languageEnglish
Pages (from-to)805-816
Number of pages12
JournalJournal of Intelligent and Fuzzy Systems
Volume27
Issue number2
DOIs
Publication statusPublished - 2014

Keywords

  • L-closedness degree
  • L-continuity degree
  • L-fuzzifying topological space
  • L-openness degree

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