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International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(4): 290-297

Published online December 25, 2020

https://doi.org/10.5391/IJFIS.2020.20.4.290

© The Korean Institute of Intelligent Systems

Intuitionistic Fuzzy Ideals of Ternary Near-Rings

Warud Nakkhasen

Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, Thailand

Correspondence to :
Warud Nakkhasen (warud.n@msu.ac.th)

Received: August 7, 2018; Revised: November 4, 2020; Accepted: November 23, 2020

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

We define the concept of intuitionistic fuzzy ideals of ternary near-rings as a generalization of fuzzy ideals, and we investigate some of their properties. Moreover, we characterize the notions of Noetherian and Artinian ternary near-rings using their intuitionistic fuzzy ideals.

Keywords: Ternary near-ring, Fuzzy ideal, Intuitionistic fuzzy ideal, Intuitionistic fuzzy set

This research was financially supported by the Faculty of Science, Mahasarakham University.

No potential conflict of interest relevant to this article is reported.

Warud Nakkhasen received the Ph.D. in Mathematics from Khon Kaen University, Thailand in 2019. Currently, he is a lecturer at the Department of Mathematics, Faculty of Science, Mahasarakham University, Thailand. He research fields focus on algebraic structure, algebraic hyperstructure, fuzzy set theory, and intuitionistic fuzzy set theory.

E-mail: warud.n@msu.ac.th


Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(4): 290-297

Published online December 25, 2020 https://doi.org/10.5391/IJFIS.2020.20.4.290

Copyright © The Korean Institute of Intelligent Systems.

Intuitionistic Fuzzy Ideals of Ternary Near-Rings

Warud Nakkhasen

Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham, Thailand

Correspondence to:Warud Nakkhasen (warud.n@msu.ac.th)

Received: August 7, 2018; Revised: November 4, 2020; Accepted: November 23, 2020

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We define the concept of intuitionistic fuzzy ideals of ternary near-rings as a generalization of fuzzy ideals, and we investigate some of their properties. Moreover, we characterize the notions of Noetherian and Artinian ternary near-rings using their intuitionistic fuzzy ideals.

Keywords: Ternary near-ring, Fuzzy ideal, Intuitionistic fuzzy ideal, Intuitionistic fuzzy set

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