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Fuzzy Filters in Ordered Semirings

Department of Mathematics, Sankethika Institute of Tech. and Management, Visakhapatnam- 530 041, A.P., India.

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Annals of Communications in Mathematics 2024
, 7 (2),
Received: 9 May 2024 |
Accepted: 18 Jun 2024 |
Published: 30 Jun 2024


We introduce the notion of ideal, prime ideal, filter, fuzzy ideal, fuzzy prime ideal, fuzzy filter of an ordered semiring and study their properties and relations between them. We characterize the prime ideals and filters of an ordered semiring with respect to fuzzy ideals and fuzzy filters respectively. We proved a fuzzy subset µ is a fuzzy filter of an ordered semiring M if and only if µMT β, : X → [0, 1] is a fuzzy filter of an ordered semiring M. M and N be ordered semirings and ϕ : M → N be an onto homomorphism. If f is a ϕ homomorphism invariant fuzzy filter of M then ϕ(f) is a fuzzy filter of N.


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Fuzzy Filters in Ordered Semirings.

Annals of Communications in Mathematics,

7 (2):
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (


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