Araştırma Makalesi
Yıl 2020,
Sayı: 30, 8 - 20, 26.03.2020
Öz
In this paper, we study some of the properties of bipolar Pythagorean fuzzy subring of a ring and prove some results on these. We derive some important theorems and intersection and product are applied into the bipolar Pythagorean fuzzy subring of a ring.
Anahtar Kelimeler
Bipolar Pythagorean fuzzy set bipolar Pythagorean fuzzy subring bipolar pythagorean fuzzy product
Kaynakça
- L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
- K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87- 90.
- R. R. Yager, Pythagorean Fuzzy Subsets, In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57-61.
- R. R. Yager, A. M. Abbasov, Pythagorean Membership Grades, Complex Numbers and Decision Making, International Journal of Intelligent Systems 28 (2013) 436-452.
- R. R. Yager, Pythagorean Membership Grades in Multicriteria Decision Making, IEEE Transactions on Fuzzy Systems 22 (2014) 958-965.
- Y. B. Jun, S. Z. Song, Subalgebras and Closed Ideals of BCH-Algebra Based on Bipolar Valued Fuzzy Sets, Scientiae Mathematicae Japonicae Online 2 (2008) 427-437.
- P. Bosc, O. Pivert, On a Fuzzy Bipolar Relational Algebra, Information Sciences 219 (2013) 1-16.
- K. J. Lee, Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras, Bulletin of the Malaysian Mathematical Sciences Society 32(3) (2009) 361-373.
- K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proc. International Conference on Intelligent Technologies, Thailand, (2000) 307-312.
- J. Chen, S. Li, S. Ma, X. Wang, m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets, The Scientific World Journal (2014) http://dx.doi.org/10.1155/2014/416530.
- W. Liu, Fuzzy Invariant Subgroups and Fuzzy Ideals, Fuzzy Sets and Systems 8 (1982) 133-139.
- K. Hur, H. W. Kang, H. K. Song, Intuitionistic Fuzzy Subgroups and Subrings, Honam Mathematical Journal 25 (2003) 19-41.
- M. F. Marashdeh, A. R. Salleh, Intuitionistic Fuzzy Rings, International Journal of Algebra 5 (2011) 37-47.
- K. Mohana, R. Jansi, Bipolar Pythagorean Fuzzy Sets and Their Application Based on Multi-Criteria Decision-Making Problems, International Journal of Research Advent in Technology 6 (2018) 3754-764.
- K. Meena, K. V. Thomas, Intuitionistic L-Fuzzy Subrings, International Mathematical Forum 6 (2011) 2561-2572.
Yıl 2020,
Sayı: 30, 8 - 20, 26.03.2020
Öz
Kaynakça
- L. A. Zadeh, Fuzzy Sets, Information and Control 8 (1965) 338-353.
- K. T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20 (1986) 87- 90.
- R. R. Yager, Pythagorean Fuzzy Subsets, In: Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada, (2013) 57-61.
- R. R. Yager, A. M. Abbasov, Pythagorean Membership Grades, Complex Numbers and Decision Making, International Journal of Intelligent Systems 28 (2013) 436-452.
- R. R. Yager, Pythagorean Membership Grades in Multicriteria Decision Making, IEEE Transactions on Fuzzy Systems 22 (2014) 958-965.
- Y. B. Jun, S. Z. Song, Subalgebras and Closed Ideals of BCH-Algebra Based on Bipolar Valued Fuzzy Sets, Scientiae Mathematicae Japonicae Online 2 (2008) 427-437.
- P. Bosc, O. Pivert, On a Fuzzy Bipolar Relational Algebra, Information Sciences 219 (2013) 1-16.
- K. J. Lee, Bipolar Fuzzy Subalgebras and Bipolar Fuzzy Ideals of BCK/BCI-Algebras, Bulletin of the Malaysian Mathematical Sciences Society 32(3) (2009) 361-373.
- K. M. Lee, Bipolar-Valued Fuzzy Sets and Their Operations, Proc. International Conference on Intelligent Technologies, Thailand, (2000) 307-312.
- J. Chen, S. Li, S. Ma, X. Wang, m-Polar Fuzzy Sets: An Extension of Bipolar Fuzzy Sets, The Scientific World Journal (2014) http://dx.doi.org/10.1155/2014/416530.
- W. Liu, Fuzzy Invariant Subgroups and Fuzzy Ideals, Fuzzy Sets and Systems 8 (1982) 133-139.
- K. Hur, H. W. Kang, H. K. Song, Intuitionistic Fuzzy Subgroups and Subrings, Honam Mathematical Journal 25 (2003) 19-41.
- M. F. Marashdeh, A. R. Salleh, Intuitionistic Fuzzy Rings, International Journal of Algebra 5 (2011) 37-47.
- K. Mohana, R. Jansi, Bipolar Pythagorean Fuzzy Sets and Their Application Based on Multi-Criteria Decision-Making Problems, International Journal of Research Advent in Technology 6 (2018) 3754-764.
- K. Meena, K. V. Thomas, Intuitionistic L-Fuzzy Subrings, International Mathematical Forum 6 (2011) 2561-2572.
Toplam 15 adet kaynakça vardır.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 26 Mart 2020 |
| Gönderilme Tarihi | 27 Haziran 2019 |
| Yayımlandığı Sayı | Yıl 2020 Sayı: 30 |
Kaynak Göster
- Makale Dosyaları
|