Vague Bi-Quasi-Interior Ideals of Γ-Semirings

Bhargavi, Y.; Iampan, Aiyared; Nageswararao, B.

doi:10.28924/2291-8639-21-2023-98

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2024

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“…In 2008, Eswarlal [7] introduced the concepts of vague ideals and normal vague ideals in semirings. Bhargavi and Eswarlal [1][2][3][4][5] were developed the theory of vague sets on Γ-semirings. In 2019, Rao [13] introduced weak interior ideals and fuzzy weak interior ideals of Γ-semirings.…”

Section: Introductionmentioning

confidence: 99%

Vague Weak Interior Ideals of Γ-Semirings

BHARGAVI,

REZAE,

ESWARLAL

et al. 2024

KgJMat

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The notion of a ((complete-) normal) vague weak interior ideal on a (regular) Γ-semiring is deﬁned. It is proved that the set of all vague weak interior ideals forms a complete lattice. Also, a characterization theorem for a regular Γ-semiring in terms of vague weak interior ideals is derived. Another interesting consequence of the main result is that the cardinal of a non-constant maximal element in the set of all (complete-) normal vague weak interior ideals is 2.

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Section: Introductionmentioning

confidence: 99%