Article Search
닫기

Original Article

Split Viewer

International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(3): 259-268

Published online September 25, 2021

https://doi.org/10.5391/IJFIS.2021.21.3.259

© The Korean Institute of Intelligent Systems

On Picture Fuzzy Ideals of Near-Rings

Mani Parimala1, Intan Muchtadi-Alamsyah2, and Madeleine Al-Tahan3

1Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India
2AlgebraResearch Division and Center of Artificial Intelligence, Institut Teknologi Bandung, Bandung, Indonesia
3Department of Mathematics, Lebanese International University, Beirut, Lebanon

Correspondence to :
Intan Muchtadi-Alamsyah (ntan@math.itb.ac.id)

Received: December 16, 2020; Revised: July 26, 2021; Accepted: August 9, 2021

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

In managing vagueness and complexity, the theory of picture fuzzy sets has important advantages. In addition, picture fuzzy data are useful for modeling the uncertain existence of subjective decisions and for more flexibly assessing the fuzziness and imprecision. The goal of this study is to establish and discuss their desirable properties by defining the picture fuzzy ideals of a near-ring. Based on new definitions, this paper presents some examples and properties of picture fuzzy subsets of such rings.

Keywords: Near-ring, Picture fuzzy set, Picture fuzzy ideals, Homomorphism of the near-rings

Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2021; 21(3): 259-268

Published online September 25, 2021 https://doi.org/10.5391/IJFIS.2021.21.3.259

Copyright © The Korean Institute of Intelligent Systems.

On Picture Fuzzy Ideals of Near-Rings

Mani Parimala1, Intan Muchtadi-Alamsyah2, and Madeleine Al-Tahan3

1Department of Mathematics, Bannari Amman Institute of Technology, Sathyamangalam, Tamilnadu, India
2AlgebraResearch Division and Center of Artificial Intelligence, Institut Teknologi Bandung, Bandung, Indonesia
3Department of Mathematics, Lebanese International University, Beirut, Lebanon

Correspondence to:Intan Muchtadi-Alamsyah (ntan@math.itb.ac.id)

Received: December 16, 2020; Revised: July 26, 2021; Accepted: August 9, 2021

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

In managing vagueness and complexity, the theory of picture fuzzy sets has important advantages. In addition, picture fuzzy data are useful for modeling the uncertain existence of subjective decisions and for more flexibly assessing the fuzziness and imprecision. The goal of this study is to establish and discuss their desirable properties by defining the picture fuzzy ideals of a near-ring. Based on new definitions, this paper presents some examples and properties of picture fuzzy subsets of such rings.

Keywords: Near-ring, Picture fuzzy set, Picture fuzzy ideals, Homomorphism of the near-rings

+10123
00123
11230
22301
33012

·10123
00000
10123
20123
30123

+2efgh
eefgh
ffehg
ggfhe
hhgef

·2efgh
eeeee
feeee
geeee
heeff

Share this article on :

Most KeyWord