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On New Approach Towards Cubic Vague Subbisemirings in Bisemirings

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

Bharath Institute of Higher Education and Research, Department of Mathematics, Chennai, 600073, India

* Corresponding Author
Annals of Communications in Mathematics 2021
, 4 (3),
237-248.
https://doi.org/10.62072/acm.2021.040303
Received: 20 July 2021 |
Accepted: 20 December 2021 |
Published: 31 December 2021

Abstract

From the nature of subbisemiring, we develop a new generalized hybrid structure of vague subbisemiring known as cubic vague subbisemiring (shortly CVSBS). We talk about the CVSBS and level sets CVSBS of bisemiring. At first we define some basic operation such as intersection, cartesian product on them and use these to obtain some of its basic properties under CVSBS. Let L = hA¯L, VLi be the cubic vague subset of S. It is shown that L is a CVSBS if and only if all non empty level set L(α,β) (α, β ∈ D[0, 1]) is a SBS. Let L be the CVSBS and W be the strongest vague relation of S. We show that L is a CVSBS if and only if W is a CVSBS of S × S. After we define homomorphic image and preimage of bisemiring. It will be shown that the homomorphic image and preimage of CVSBS is a CVSBS. To strengthen our results with examples are indicated.

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Cite This Article

On New Approach Towards Cubic Vague Subbisemirings in Bisemirings.

Annals of Communications in Mathematics,

2021,
4 (3):
237-248.
https://doi.org/10.62072/acm.2021.040303
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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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