Fuzzifications of Almost Ideals in Ternary Semirings

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DOI: https://doi.org/10.28924/2291-8639-23-2025-326
Published: Dec 12, 2025
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Napaporn Sarasit, Ronnason Chinram, Amornrat Rattana, Fuzzifications of Almost Ideals in Ternary Semirings, Int. J. Anal. Appl., 23 (2025), 326.

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Napaporn Sarasit, Ronnason Chinram, Amornrat Rattana

Abstract

We introduce an almost ideal (shortly A-ideal) and a fuzzy A-ideal of a ternary semiring. We present that an A-ideal of a ternary semiring is formed by the union of A-ideals, but not by their intersection. We further study the defining properties of minimal fuzzy A-ideals in ternary semirings. Additionally, we relate the A-ideals of ternary semirings to their fuzzifications and find that an A-ideal is equivalent to its characteristic mapping, while a fuzzy A-ideal is equivalent to its support. Moreover, we demonstrate that its characteristic mapping is similar to that of a minimum A-ideal.

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