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On Pythagorean normal subbisemiring of bisemiring

Annamalai University, Department of Mathematics, Chidambaram, 608002, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (1),
63-72.
https://doi.org/10.62072/acm.2021.040107
Received: 28 December 2021 |
Accepted: 9 March 2021 |
Published: 11 March 2021

Abstract

We discuss the notion of Pythagorean subbisemiring, level sets of Pythagorean subbisemirings and Pythagorean normal subbisemiring of a bisemiring. Also, we investigate some of the properties related to subbisemirings. The fuzzy subset L = (πPL , ωPL ) is a Pythagorean subbisemiring if and only if all non-empty level set L(t,s) (t, s ∈ (0, 1]) is a subbisemiring. The cartesian product of two Pythagorean subbisemiring is also Pythagorean subbisemiring. The homomorphic image and preimage of Pythagorean subbisemiring is also Pythagorean subbisemiring. To illustrate our results and examples are given.

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Cite This Article

On Pythagorean normal subbisemiring of bisemiring.

Annals of Communications in Mathematics,

2021,
4 (1):
63-72.
https://doi.org/10.62072/acm.2021.040107
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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 (https://creativecommons.org/licenses/by/4.0/).

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