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A generalization of (∈, ∈ ∨q)-fuzzy ideals in ternary semigroups

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1Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia.2Department of Mathematics and Statistics,, Riphah International University, Hajj Complex I-14 Islamabad 44000, Pakistan.3Department of Mathematics Education, Gyeongsang National University, Jinju 660-701, Korea.

* Corresponding Author: G. Muhiuddin. Email: chishtygm@gmail.com

Annals of Communications in Mathematics 2019, 2 (2), 73-83. https://doi.org/10.62072/acm.2019.020202

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ABSTRACT.

The notion of \( (\tilde{\alpha}, \tilde{\beta}) \)-fuzzy left (right, lateral) ideal is introduced, and related properties are investigated. Also, characterizations of an \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are provided. Moreover, relations between \( (\varepsilon, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal and \( (q_0^{\delta}, \in \vee q_0^{\delta}) \)-fuzzy left (resp., right, lateral) ideal are established.

Keywords

2 -lower α - e βe -fuzzy left right - lateral ideal; α - e βe-fuzzy left right lateral ideal; δ 2 -upper α - e βe-fuzzy left right - lateral ideal

Cite This Article

G. Muhiuddin, Noor Rehman, Young Bae Jun.

A generalization of (∈, ∈ ∨q)-fuzzy ideals in ternary semigroups.

Annals of Communications in Mathematics

2019,

2 (2):

73-83.

https://doi.org/10.62072/acm.2019.020202

Copyright © 2019 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/).