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Issue:Intuitionistic anti fuzzy normed ideals

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Title of paper: Intuitionistic anti fuzzy normed ideals
Author(s):
Nour Abed Alhaleem
Department of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Malaysia
noorb@ymail.com
Abd Ghafur Ahmad
Department of Mathematical Sciences, Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Malaysia
ghafur@ukm.edu.my
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 27 (2021), Number 1, pages 60–71
DOI: https://doi.org/10.7546/nifs.2021.27.1.60-71
Download:  PDF (126  Kb, File info)
Abstract: In this paper, we introduce the notion of intuitionistic anti fuzzy normed subrings and intuitionistic anti fuzzy normed ideals and various properties of intuitionistic anti fuzzy normal subrings and ideals are examined. Also, we prove that the intersection of two intuitionistic anti fuzzy normed ideals is also an intuitionistic anti fuzzy normed ideal. Besides, we define the anti level subsets and identify the relationship between these sets and intuitionistic anti fuzzy normed ideals. In addition, we define the anti-image of intuitionistic anti fuzzy normed ideals and discuss the inverse image and anti-image for intuitionistic anti fuzzy normed ideals under epimorphism mapping.
Keywords: Intuitionistic fuzzy normed subrings, Intuitionistic anti fuzzy normed subring, Intuitionistic anti fuzzy normed ideals, Intuitionistic anti fuzzy normed normal ideals, Anti image.
AMS Classification: 03F55, 03E72.
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