GE-filters of GE-algebras proceeded by intuitionistic fuzzy sets

초록

In this paper, we introduce the notion of an intuition-istic fuzzy GE-filter by combining the concepts of GE-algebras and intuitionistic fuzzy sets. We provide a nec-essary and sufficient condition for an intuitionistic fuzzy set to form an intuitionistic fuzzy GE-filter. This study examines various properties and characterizations of in-tuitionistic fuzzy GE-filters. In particular, we explore the roles of (ℏF, ∈)t, (ðF, ∈)s, (ℏF, q)t, (ðF, q)s, (ℏF, ∈ ∨q)t, and (ðF, ∈ ∨q)s sets in determining the filter structures within GE-algebras. Examples illustrate the results, and counterexamples clarify the necessity of the conditions. These results not only enhance the theory of GE-algebras but also contribute to the algebraic treatment of uncer-tainty using intuitionistic fuzzy logic. © 2026, University of Hatef. All rights reserved.

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