View source for Issue:R1 and level R1 separation axioms on intuitionistic fuzzy pairwise topological spaces using intuitionistic fuzzy open sets

[[Category:Publications on intuitionistic fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in Notes on IFS|{{PAGENAME}}]]
[[Category:Publications in 2025 year|{{PAGENAME}}]]
{{issue/title
 | title           = ''R''<sub>1</sub> and level ''R''<sub>1</sub> separation axioms on intuitionistic fuzzy pairwise topological spaces using intuitionistic fuzzy open sets
 | shortcut        = nifs/31/3/290-304
}}
{{issue/author
 | author          = Saikh Shahjahan Miah
 | institution     = Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University
 | address         = Tangail-1902, Bangladesh 
 | email-before-at = skhshahjahan
 | email-after-at  = gmail.com
 | orcid           = 0000-0002-9182-5299
}}
{{issue/author
 | author          = Md. Hridoy Hasan
 | institution     = Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University
 | address         = Tangail-1902, Bangladesh 
 | email-before-at = s.melliani
 | email-after-at  = usms.ma
 | orcid           = 0009-0007-5085-9357
}}
{{issue/author
 | author          = Ruhul Amin
 | institution     = Department of Mathematics, Begum Rokeya University
 | address         = Rangpur-5404, Bangladesh
 | email-before-at = ruhulamin
 | email-after-at  = brur.ac.bd
 | orcid           = 0009-0003-6664-5311
}}
{{issue/author
 | author          = Nigar Sultana
 | institution     = Department of Mathematics, Faculty of Science, Mawlana Bhashani Science and Technology University
 | address         = Tangail-1902, Bangladesh 
 | institution-2   = Department of Mathematics, North Carolina State University   
 | address-2       = Raleigh, NC, USA
 | email-before-at = nigarsultana262
 | email-after-at  = gmail.com
 | orcid           = 0000-0003-0848-8015
}}
{{issue/data
 | issue           = [[Notes on Intuitionistic Fuzzy Sets/31/3|Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 3]], pages 290–304
 | doi             = https://doi.org/10.7546/nifs.2025.31.3.290-304
 | file            = NIFS-31-3-290-304.pdf
 | format          = PDF
 | size            = 256
 | abstract        = This study investigates the notions of intuitionistic fuzzy (IF) ''R''<sub>1</sub> pairwise topological space and &alpha;-''R''<sub>1</sub> type separation axioms on IF pairwise topological spaces in the sense of intuitionistic fuzzy open sets. We define four notions of IF ''R''<sub>1</sub> pairwise topological space and three notions of &alpha;-''R''<sub>1</sub> IF pairwise topological spaces and show the relationship among the notions separately with appropriate examples. In order to show the correctness of the proposed definitions, we show the good extension property for both types of the notions followed by examples as well. Finally, we show that our notions satisfy the hereditary and preserve the homeomorphism mapping properties.
 | keywords        = Intuitionistic fuzzy set (IFS), Intuitionistic fuzzy pairwise topological space, Separation axiom, ''R''<sub>1</sub> Intuitionistic fuzzy pairwise topological space, Good extension.
 | ams             = 03E72, 54A40, 94D05.
 | references      = 
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