A Novel Framework for [σ,τ]-Bounded Intuitionistic Fuzzy Sets and Subgroups
Ümit Deniz
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Source: Crossref
Published: Apr 21, 2026
DOI: 10.1142/s1793005727500657
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This paper introduces a novel framework for bounded intuitionistic fuzzy sets using lower and upper threshold parameters. Unlike classical cut-set approaches, the proposed method preserves membership and non-membership degrees while restricting the universe. Fundamental algebraic properties and set-theoretic operations are investigated, and applications to intuitionistic fuzzy subgroup theory are presented. The results show that subgroup properties are retained within the bounded structure. This framework provides a flexible and effective tool for analyzing intuitionistic fuzzy systems.
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