| Title of paper:
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Generalized (T,ST) intuitionistic fuzzy anti-ideals on semigroups
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| Author(s):
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 32 (2026), Number 3, pages 213–230
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| DOI:
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https://doi.org/10.7546/nifs.2026.32.3.213-230
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| Download:
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 PDF (266 Kb, File info)
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| Abstract:
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In this paper, we introduce generalized intuitionistic fuzzy (T,ST) anti-ideals on semigroups. We first define intuitionistic fuzzy left anti-ideals, right anti-ideals, anti-ideals, and bi-anti-ideals in this setting. Then we study their basic properties and show how classical anti-ideals can be obtained via characteristic functions. We also give characterizations in terms of level subsets and examine the behavior of these structures under homomorphisms and isomorphisms. The results obtained show that the proposed approach extends known anti-ideal concepts and gives a useful framework for studying semigroups with uncertainty.
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| Keywords:
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Semigroup, Anti-ideal, Bi-anti-ideal, Intuitionistic fuzzy set, t-norm, t-conorm.
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| AMS Classification:
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20M10, 03E72.
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| References:
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