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On modal operators over the generalized intuitionistic fuzzy set

Yıl 2018, Cilt: 31 Sayı: 1, 222 - 234, 01.03.2018

Öz

In recent years, different operators (modal, topological, level, negation and other types) have been

defined over intuitionistic fuzzy sets. In this note, modal type of operators over an extended generalized

intuitionistic fuzzy set GIFSB are proposed. Some of the basic properties of the new
operators are derived.

Kaynakça

  • [1] Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96. [2] Atanassov, K. T. (1989). More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37-45. [3] Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets. Springer Verlag, Heidelberg. [4] Atanassov, K. T. (2001). On four intuitionistic fuzzy topological operators. Mathware Soft Computing, 8, 65-70. [5] Atanassov, K. T. (2004). On the modal operators deferent over the intuitionistic fuzzy set. Notes on Intuitionistic Fuzzy Sets, 10, 7-12. [6] Atanassov, K. T. (2012). On the operators partially extending the extended intuitionistic fuzzy operators from modal type. Notes on Intuitionistic Fuzzy Sets, 18, 16-22. [7] Atanassov, K. T., Dimitrov, D. (2008). On the negations over intuitionistic fuzzy sets. Annual of \Informatics" Section Union of Scientists in Bulgaria, 1, 49-58. [8] Baloui Jamkhaneh, E., Nadarajah, S. (2015). A new generalized intuitionistic fuzzy sets. Hacettepe Journal of Mathematics and Statistics, 44, 1537-1551. [9] Cornelis, C., Kerre, E., Atanassov, K. (2004). Application of extended modal operators as a tool for constructing inclusion indicators over intuitionistic fuzzy sets. In: Soft Computing- Foundations and Theoretical Aspects, pp. 133-142. [10] Hinde, C. J., Atanassov, K. T. (2008). On intuitionistic fuzzy negations and intuitionistic fuzzy modal operators with contradictory evidence. In Proceedings of the 5th WSEAS / IASME International Conference on Engineering Education (EE'08), Heraklion, Greece, July 22-24. [11] Parvathi, R., Geetha, S. P. (2009). A note on properties of temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 15, 42-48. [12] Sharma, P. K. (2014). Modal operator F ; (A) in intuitionistic fuzzy groups. Annals of Pure and Applied Mathematics, 7, 19-28. [13] Srinivasan, R., Palaniappan, N. (2012). Some operators on intuitionistic fuzzy sets of root type. Annals of Fuzzy Mathematics and Informatics, 4, 377-383. [14] Yilmaz, S., Cuvalcioglu, G. (2014). On level operators for temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20, 6-15.
Yıl 2018, Cilt: 31 Sayı: 1, 222 - 234, 01.03.2018

Öz

Kaynakça

  • [1] Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87-96. [2] Atanassov, K. T. (1989). More on intuitionistic fuzzy sets. Fuzzy Sets and Systems, 33, 37-45. [3] Atanassov, K. T. (1999). Intuitionistic Fuzzy Sets. Springer Verlag, Heidelberg. [4] Atanassov, K. T. (2001). On four intuitionistic fuzzy topological operators. Mathware Soft Computing, 8, 65-70. [5] Atanassov, K. T. (2004). On the modal operators deferent over the intuitionistic fuzzy set. Notes on Intuitionistic Fuzzy Sets, 10, 7-12. [6] Atanassov, K. T. (2012). On the operators partially extending the extended intuitionistic fuzzy operators from modal type. Notes on Intuitionistic Fuzzy Sets, 18, 16-22. [7] Atanassov, K. T., Dimitrov, D. (2008). On the negations over intuitionistic fuzzy sets. Annual of \Informatics" Section Union of Scientists in Bulgaria, 1, 49-58. [8] Baloui Jamkhaneh, E., Nadarajah, S. (2015). A new generalized intuitionistic fuzzy sets. Hacettepe Journal of Mathematics and Statistics, 44, 1537-1551. [9] Cornelis, C., Kerre, E., Atanassov, K. (2004). Application of extended modal operators as a tool for constructing inclusion indicators over intuitionistic fuzzy sets. In: Soft Computing- Foundations and Theoretical Aspects, pp. 133-142. [10] Hinde, C. J., Atanassov, K. T. (2008). On intuitionistic fuzzy negations and intuitionistic fuzzy modal operators with contradictory evidence. In Proceedings of the 5th WSEAS / IASME International Conference on Engineering Education (EE'08), Heraklion, Greece, July 22-24. [11] Parvathi, R., Geetha, S. P. (2009). A note on properties of temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 15, 42-48. [12] Sharma, P. K. (2014). Modal operator F ; (A) in intuitionistic fuzzy groups. Annals of Pure and Applied Mathematics, 7, 19-28. [13] Srinivasan, R., Palaniappan, N. (2012). Some operators on intuitionistic fuzzy sets of root type. Annals of Fuzzy Mathematics and Informatics, 4, 377-383. [14] Yilmaz, S., Cuvalcioglu, G. (2014). On level operators for temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20, 6-15.
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Bölüm Mathematics
Yazarlar

Ezzatallah Baloui Jamkhaneh

Saralees Nadarajah

Yayımlanma Tarihi 1 Mart 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 31 Sayı: 1

Kaynak Göster

APA Baloui Jamkhaneh, E., & Nadarajah, S. (2018). On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science, 31(1), 222-234.
AMA Baloui Jamkhaneh E, Nadarajah S. On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science. Mart 2018;31(1):222-234.
Chicago Baloui Jamkhaneh, Ezzatallah, ve Saralees Nadarajah. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science 31, sy. 1 (Mart 2018): 222-34.
EndNote Baloui Jamkhaneh E, Nadarajah S (01 Mart 2018) On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science 31 1 222–234.
IEEE E. Baloui Jamkhaneh ve S. Nadarajah, “On modal operators over the generalized intuitionistic fuzzy set”, Gazi University Journal of Science, c. 31, sy. 1, ss. 222–234, 2018.
ISNAD Baloui Jamkhaneh, Ezzatallah - Nadarajah, Saralees. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science 31/1 (Mart 2018), 222-234.
JAMA Baloui Jamkhaneh E, Nadarajah S. On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science. 2018;31:222–234.
MLA Baloui Jamkhaneh, Ezzatallah ve Saralees Nadarajah. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science, c. 31, sy. 1, 2018, ss. 222-34.
Vancouver Baloui Jamkhaneh E, Nadarajah S. On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science. 2018;31(1):222-34.