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Neutrosophic subsemigroups

Department of Mathematics, University of Tabuk, Tabuk 71491, Saudi Arabia.

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

Annals of Communications in Mathematics 2018, 1 (1), 1-10. https://doi.org/10.62072/acm.2018.010101

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ABSTRACT.

In the present paper, we introduce the notion of \( (\Phi, \Psi) \)-neutrosophic subsemigroups of a semigroup where \( \Phi, \Psi \in \{\in, q, \in \vee q\} \), and related properties are investigated. We consider characterizations of an \( (\in, \in) \)-neutrosophic subsemigroup and an \( (\in, \in \vee q) \)-neutrosophic subsemigroup. Conditions for the neutrosophic \( \varepsilon \)-subsets, neutrosophic \( q \)-subsets and neutrosophic \( \in \vee q \)-subsets to be subsemigroups are discussed. Finally, we discuss conditions for a neutrosophic set to be a \( (q, \in \vee q) \)-neutrosophic subsemigroup.

Keywords

(∈ - ∈ ∨ q)-neutrosophic subsemigroup; (∈ - q)-neutrosophic subsemigroup; (∈-∈)-neutrosophic subsemigroup; (q - ∈ ∨ q)-neutrosophic subsemigroup; (q - ∈)- neutrosophic subsemigroup; (q - q)-neutrosophic subsemigroup

Cite This Article

G. Muhiuddin.

Neutrosophic subsemigroups.

Annals of Communications in Mathematics

2018,

1 (1):

1-10.

https://doi.org/10.62072/acm.2018.010101

Copyright © 2018 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/).