Research Article
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Year 2019, Volume: 23 Issue: 3, 472 - 477, 01.06.2019

Vildan Çetkin , Halis Aygün

https://doi.org/10.16984/saufenbilder.451979
https://izlik.org/JA87JZ43NC

Abstract

References

  • [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] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986) 87-96.
  • [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] V. Çetkin, H. Aygün, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29 (2015) 1941-1947.
  • [5] V.N. Dixit, R. Kumar, N. Ajmal, On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205-213.
  • [6] K. Hur, H. W. Kang, H. K. Song, Intuitionistic fuzzy subgroups and subrings, Honam Math J. 25 (1) (2003) 19-41.
  • [7] Vasantha Kandasamy W.B., Florentin Smarandache, Neutrosophic rings, Hexis, Phoenix, Arizona, 2006.
  • [8] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  • [9] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982) 133-139.
  • [10] P. Majumdar, S. K. Samanta, On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems 26 (3) (2014) 1245-1252.
  • [11] L. Martinez, Prime and primary L-fuzzy ideals of L-fuzzy rings, Fuzzy Sets and Systems, 101 (1999) 489-494.
  • [12] A. A. Salama, S. A. Al-Blowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3 (4) (2012) 31-35.

An Approach to Neutrosophic Subrings

Year 2019, Volume: 23 Issue: 3, 472 - 477, 01.06.2019

Vildan Çetkin , Halis Aygün

https://doi.org/10.16984/saufenbilder.451979
https://izlik.org/JA87JZ43NC

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

neutrosophic set single valued neutrosophic set ring

References

  • [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] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1) (1986) 87-96.
  • [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] V. Çetkin, H. Aygün, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent and Fuzzy Systems 29 (2015) 1941-1947.
  • [5] V.N. Dixit, R. Kumar, N. Ajmal, On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205-213.
  • [6] K. Hur, H. W. Kang, H. K. Song, Intuitionistic fuzzy subgroups and subrings, Honam Math J. 25 (1) (2003) 19-41.
  • [7] Vasantha Kandasamy W.B., Florentin Smarandache, Neutrosophic rings, Hexis, Phoenix, Arizona, 2006.
  • [8] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic algebraic structures and neutrosophic N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
  • [9] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982) 133-139.
  • [10] P. Majumdar, S. K. Samanta, On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy Systems 26 (3) (2014) 1245-1252.
  • [11] L. Martinez, Prime and primary L-fuzzy ideals of L-fuzzy rings, Fuzzy Sets and Systems, 101 (1999) 489-494.
  • [12] A. A. Salama, S. A. Al-Blowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3 (4) (2012) 31-35.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Vildan Çetkin 0000-0003-3136-0124

Halis Aygün 0000-0003-3263-3884

Submission Date August 8, 2018
Acceptance Date January 24, 2019
Publication Date June 1, 2019
DOI https://doi.org/10.16984/saufenbilder.451979
IZ https://izlik.org/JA87JZ43NC
Published in Issue Year 2019 Volume: 23 Issue: 3

Cite

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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