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Investigates structural properties of spherical fuzzy ideals in lattice ordered semigroups, suggesting new applications in uncertainty-aware models.
This paper introduces and studies the notion of spherical fuzzy lattice-ordered subsemigroup and their corresponding spherical fuzzy lattice-ordered ideal within the framework of lattice-ordered semigroup. By extending classical lattice-ordered subsemigroup and ideal to the spherical fuzzy environment — where uncertainty is modeled by a triplet [Formula: see text] satisfying the spherical constraint [Formula: see text] — a coherent algebraic framework capable of handling bounded indeterminacy is developed. Rigorous definitions of spherical fuzzy lattice-ordered subsemigroup and ideal are formulated, and several fundamental properties are investigated. In particular, closure properties under intersection, behavior under homomorphic images, and structural relationships between spherical fuzzy lattice-ordered subsemigroup and ideal are examined. The results enrich the theory of spherical fuzzy algebraic structures and provide a solid mathematical foundation for applications in uncertainty-aware algebraic modeling, soft computing, and logic-based information systems.
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Nasreen et al. (2026) studied this question.
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