Level Separation on Intuitionistic Fuzzy T1 Spaces

Authors

  • Md Saiful Islam Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Trishal, Mymensingh
  • Md Sahadat Hossain Department of Mathematics, University of Rajshahi, Rajshahi
  • Md Asaduzzaman Department of Mathematics, University of Rajshahi, Rajshahi

DOI:

https://doi.org/10.3329/jbas.v42i1.37834

Keywords:

Fuzzy set, Intuitionistic set, Intuitionistic fuzzy set, Intuitionistic topological space, Intuitionistic fuzzy topological space, Intuitionistic fuzzy T1 space

Abstract

Intuitionistic fuzzy T1 spaces are defined and studied in this paper. Eight new notions of intuitionistic fuzzy T1 spaces are defined and some relationship among them has been investigated. Some relations between the defined notions and other given notions of intuitionistic fuzzy T1 spaces has also been investigated. Under some conditions it is observed that image and preimage preserve intuitionistic fuzzy T1 spaces. Hereditary and productive property of such spaces has been also investigated.

Journal of Bangladesh Academy of Sciences, Vol. 42, No. 1, 73-85, 2018

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Published

2018-08-12

How to Cite

Islam, M. S., Hossain, M. S., & Asaduzzaman, M. (2018). Level Separation on Intuitionistic Fuzzy T1 Spaces. Journal of Bangladesh Academy of Sciences, 42(1), 73–85. https://doi.org/10.3329/jbas.v42i1.37834

Issue

Vol. 42 No. 1 (2018)

Section

Articles