On intuitionistic gradation of openness

  title={On intuitionistic gradation of openness},
  author={Tapas Kumar Mondal and S. K. Samanta},
  journal={Fuzzy Sets and Systems},
In this paper, we introduce a concept of intuitionistic gradation of openness on fuzzy subsets of a nonempty set X and de.ne an intuitionistic fuzzy topological space. We prove that the category of intuitionistic fuzzy topological spaces and gradation preserving mappings is a topological category. We study compactness of intuitionistic fuzzy topological spaces and prove an analogue of Tychono0’s theorem. c © 2001 Elsevier Science B.V. All rights reserved. 
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