Mappings in Fuzzy Hausdorff Spaces in Quasi-Coincidence Sense

Authors

  • Saikh Shahjahan Miah Department of Mathematics, Faculty of Science, Begum Rokeya University, Rangpur, Rangpur-5404
  • Md Ruhul Amin Department of Mathematics, Faculty of Science, Begum Rokeya University, Rangpur, Rangpur-5404

DOI:

https://doi.org/10.3329/jbas.v41i1.33503

Keywords:

Fuzzy Topological Space, Quasi-coincidence, Fuzzy Hausdorff Topological Spaces, Good Extension, Mappings

Abstract

In this paper, we introduce two notions of T2 property in fuzzy topological spaces by using quasi-coincidence sense and we establish relationship among our and other such notions. We also show that all these notions satisfy good extension property. Also hereditary, productive and projective properties are satisfied by these notions. We observe that all these concepts are preserved under one-one, onto, fuzzy open and fuzzy continuous mappings. Finally, we discuss initial and final fuzzy topologies on our second notion.

Journal of Bangladesh Academy of Sciences, Vol. 41, No. 1, 47-56, 2017

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Author Biography

Saikh Shahjahan Miah, Department of Mathematics, Faculty of Science, Begum Rokeya University, Rangpur, Rangpur-5404



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Published

2017-08-23

How to Cite

Miah, S. S., & Amin, M. R. (2017). Mappings in Fuzzy Hausdorff Spaces in Quasi-Coincidence Sense. Journal of Bangladesh Academy of Sciences, 41(1), 47–56. https://doi.org/10.3329/jbas.v41i1.33503

Issue

Vol. 41 No. 1 (2017)

Section

Articles