Year 2019,
Volume: 23 Issue: 3, 472 - 477, 01.06.2019
Vildan Çetkin
,
Halis Aygün
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
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.
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.