Year 2018,
Volume: 1 Issue: 2, 132 - 136, 26.06.2018
Vildan Çetkin
,
Halis Aygün
References
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An approach to neutrosophic ideals
Year 2018,
Volume: 1 Issue: 2, 132 - 136, 26.06.2018
Vildan Çetkin
,
Halis Aygün
Abstract
In this paper, we aim to introduce an approach to single-valued neutorosophic ideals over a given classical ring and over a given neutrosophic subring, respectively, as a continuation of our researches on algebraic structures over single-valued neutrosophic sets. We first propose the two types of neutrosophic ideals and then present their elementary properties.
References
- [1] I. Arockiarani, I. R. Sumathi, J. Martina Jency, Fuzzy neutrosophic soft topological spaces, International Journalof 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 lters on BL-algebras, Journal of Intelligent
and Fuzzy Systems 26 (6) (2014) 2993-3004.
- [4] V. C etkin, H. Aygun, An approach to neutrosophic subgroup and its fundamental properties, Journal of Intelligent
and Fuzzy Systems 29 (2015) 1941-1947.
- [5] V. C etkin, H. Aygun, An approach to neutrosophic subrings, submitted.
- [6] V.N.Dixit, R.Kumar, N.Ajmal, On fuzzy rings, Fuzzy Sets and Systems, 49 (1992) 205-213.
- [7] K. Hur, H. W. Kang, H. K. Song, Intuitionistic fuzzy subgroups and subrings, Honam Math J. 25 (1) (2003) 19-41.
- [8] Vasantha Kandasamy W.B., Florentin Smarandache, Neutrosophic rings, Hexis, Phoenix, Arizona, 2006.
- [9] Vasantha Kandasamy W.B., Florentin Smarandache, Some neutrosophic algebraic structures and neutrosophic
N-algebraic structures, Hexis, Phoenix, Arizona, 2006.
- [10] W. Liu, Fuzzy invariant subgroups and fuzzy ideals, Fuzzy Sets and Systems, 8 (1982) 133-139.
- [11] P. Majumdar, S. K. Samanta, On similarity and entropy of neutrosophic sets, Journal of Intelligent and Fuzzy
Systems 26 (3) (2014) 1245-1252.
- [12] L. Martinez, Prime and primary L-fuzzy ideals of L-fuzzy rings, Fuzzy Sets and Systems, 101 (1999) 489-494.
- [13] A. A. Salama, S. A. Al-Blowi, Neutrosophic set and neutrosophic topological spaces, IOSR Journal of Math. 3 (4) (2012) 31-35.
- [14] M. Shabir, M. Ali, M. Naz, F. Smarandache, Soft neutrosophic group, Neutrosophic Sets and Systems 1 (2013) 13-25.
- [15] F. Smarandache, A unifying eld in logics. Neutrosophy: Neutrosophic Probability, Set and Logic, Rehoboth:
American Research Press (1999).
- [16] H. Wang et al., Single valued neutrosophic sets, Proc. of 10th Int. Conf. on Fuzzy Theory and Technology, Salt
Lake City, Utah, July 21-26 (2005).
- [17] L. Zadeh, Fuzzy sets, Information and Control 8 (1965) 87-96.