ALGEBRAIC EXTENSIONS THROUGH T-Q FERMATEAN L-FUZZY IDEALS AND THEIR HOMOMORPHISMS

Fermatean fuzzy sets serve as a significant generalization of both intuitionistic fuzzy sets and Pythagorean fuzzy sets, providing a broader and more flexible structure for modeling uncertainty. Unlike their predecessors, they successfully address and overcome certain inherent limitations associated with these earlier frameworks, particularly in handling higher degrees of hesitation and indeterminacy. Motivated by these advantages, this paper introduces the concept of t-Q Fermatean L-fuzzy ideals, thereby extending the study of algebraic structures within the Fermatean fuzzy environment. We further explore the homomorphic properties of these ideals, analyzing how they behave under various mappings. Within this framework, a number of new theoretical results are established, which contribute to the deeper understanding of Fermatean fuzzy algebra and open avenues for further research.