Research Article

An Approach to Neutrosophic Subrings

Volume: 23 Number: 3 June 1, 2019
EN

An Approach to Neutrosophic Subrings

Abstract

The purpose of this paper is to observe some algebraic structures of a single valued neutrosophic set. For this reason, we introduce a new notion which is called a neutrosophic subring by combining the ring structure and neutrosophic sets. Then we establish some fundamental properties and characterizations of the proposed notion.

Keywords

References

  1. [1] I. Arockiarani, I. R. Sumathi, J. Martina Jency, Fuzzy neutrosophic soft topological spaces, International Journal of Mathematical Arhchive 4 (10) (2013) 225-238.
  2. [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986) 87-96.
  3. [3] R. A. Borzooei, H. Farahani, M. Moniri, Neutrosophic deductive filters on BL-algebras, Journal of Intelligent and Fuzzy Systems 26 (6) (2014) 2993-3004.
  4. [4] V. Çetkin, H. Aygün, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29 (2015) 1941-1947.
  5. [5] V.N. Dixit, R. Kumar, N. Ajmal, On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205-213.
  6. [6] K. Hur, H. W. Kang, H. K. Song, Intuitionistic fuzzy subgroups and subrings, Honam Math J. 25 (1) (2003) 19-41.
  7. [7] Vasantha Kandasamy W.B., Florentin Smarandache, Neutrosophic rings, Hexis, Phoenix, Arizona, 2006.
  8. [8] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2019

Submission Date

August 8, 2018

Acceptance Date

January 24, 2019

Published in Issue

Year 2019 Volume: 23 Number: 3

APA
Çetkin, V., & Aygün, H. (2019). An Approach to Neutrosophic Subrings. Sakarya University Journal of Science, 23(3), 472-477. https://doi.org/10.16984/saufenbilder.451979
AMA
1.Çetkin V, Aygün H. An Approach to Neutrosophic Subrings. SAUJS. 2019;23(3):472-477. doi:10.16984/saufenbilder.451979
Chicago
Çetkin, Vildan, and Halis Aygün. 2019. “An Approach to Neutrosophic Subrings”. Sakarya University Journal of Science 23 (3): 472-77. https://doi.org/10.16984/saufenbilder.451979.
EndNote
Çetkin V, Aygün H (June 1, 2019) An Approach to Neutrosophic Subrings. Sakarya University Journal of Science 23 3 472–477.
IEEE
[1]V. Çetkin and H. Aygün, “An Approach to Neutrosophic Subrings”, SAUJS, vol. 23, no. 3, pp. 472–477, June 2019, doi: 10.16984/saufenbilder.451979.
ISNAD
Çetkin, Vildan - Aygün, Halis. “An Approach to Neutrosophic Subrings”. Sakarya University Journal of Science 23/3 (June 1, 2019): 472-477. https://doi.org/10.16984/saufenbilder.451979.
JAMA
1.Çetkin V, Aygün H. An Approach to Neutrosophic Subrings. SAUJS. 2019;23:472–477.
MLA
Çetkin, Vildan, and Halis Aygün. “An Approach to Neutrosophic Subrings”. Sakarya University Journal of Science, vol. 23, no. 3, June 2019, pp. 472-7, doi:10.16984/saufenbilder.451979.
Vancouver
1.Vildan Çetkin, Halis Aygün. An Approach to Neutrosophic Subrings. SAUJS. 2019 Jun. 1;23(3):472-7. doi:10.16984/saufenbilder.451979

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