Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 1 Sayı: 2, 132 - 136, 26.06.2018
https://doi.org/10.32323/ujma.383115

Öz

Kaynakça

  • [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.

An approach to neutrosophic ideals

Yıl 2018, Cilt: 1 Sayı: 2, 132 - 136, 26.06.2018
https://doi.org/10.32323/ujma.383115

Öz

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.

Kaynakça

  • [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.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Vildan Çetkin

Halis Aygün

Yayımlanma Tarihi 26 Haziran 2018
Gönderilme Tarihi 24 Ocak 2018
Kabul Tarihi 1 Mart 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 2

Kaynak Göster

APA Çetkin, V., & Aygün, H. (2018). An approach to neutrosophic ideals. Universal Journal of Mathematics and Applications, 1(2), 132-136. https://doi.org/10.32323/ujma.383115
AMA Çetkin V, Aygün H. An approach to neutrosophic ideals. Univ. J. Math. Appl. Haziran 2018;1(2):132-136. doi:10.32323/ujma.383115
Chicago Çetkin, Vildan, ve Halis Aygün. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications 1, sy. 2 (Haziran 2018): 132-36. https://doi.org/10.32323/ujma.383115.
EndNote Çetkin V, Aygün H (01 Haziran 2018) An approach to neutrosophic ideals. Universal Journal of Mathematics and Applications 1 2 132–136.
IEEE V. Çetkin ve H. Aygün, “An approach to neutrosophic ideals”, Univ. J. Math. Appl., c. 1, sy. 2, ss. 132–136, 2018, doi: 10.32323/ujma.383115.
ISNAD Çetkin, Vildan - Aygün, Halis. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications 1/2 (Haziran 2018), 132-136. https://doi.org/10.32323/ujma.383115.
JAMA Çetkin V, Aygün H. An approach to neutrosophic ideals. Univ. J. Math. Appl. 2018;1:132–136.
MLA Çetkin, Vildan ve Halis Aygün. “An Approach to Neutrosophic Ideals”. Universal Journal of Mathematics and Applications, c. 1, sy. 2, 2018, ss. 132-6, doi:10.32323/ujma.383115.
Vancouver Çetkin V, Aygün H. An approach to neutrosophic ideals. Univ. J. Math. Appl. 2018;1(2):132-6.

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