Research Article

On modal operators over the generalized intuitionistic fuzzy set

Volume: 31 Number: 1 March 1, 2018
EN

On modal operators over the generalized intuitionistic fuzzy set

Abstract

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.

Keywords

References

  1. [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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Publication Date

March 1, 2018

Submission Date

June 16, 2017

Acceptance Date

December 23, 2017

Published in Issue

Year 2018 Volume: 31 Number: 1

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. https://izlik.org/JA29DM46HR
AMA
1.Baloui Jamkhaneh E, Nadarajah S. On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science. 2018;31(1):222-234. https://izlik.org/JA29DM46HR
Chicago
Baloui Jamkhaneh, Ezzatallah, and Saralees Nadarajah. 2018. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science 31 (1): 222-34. https://izlik.org/JA29DM46HR.
EndNote
Baloui Jamkhaneh E, Nadarajah S (March 1, 2018) On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science 31 1 222–234.
IEEE
[1]E. Baloui Jamkhaneh and S. Nadarajah, “On modal operators over the generalized intuitionistic fuzzy set”, Gazi University Journal of Science, vol. 31, no. 1, pp. 222–234, Mar. 2018, [Online]. Available: https://izlik.org/JA29DM46HR
ISNAD
Baloui Jamkhaneh, Ezzatallah - Nadarajah, Saralees. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science 31/1 (March 1, 2018): 222-234. https://izlik.org/JA29DM46HR.
JAMA
1.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, and Saralees Nadarajah. “On Modal Operators over the Generalized Intuitionistic Fuzzy Set”. Gazi University Journal of Science, vol. 31, no. 1, Mar. 2018, pp. 222-34, https://izlik.org/JA29DM46HR.
Vancouver
1.Ezzatallah Baloui Jamkhaneh, Saralees Nadarajah. On modal operators over the generalized intuitionistic fuzzy set. Gazi University Journal of Science [Internet]. 2018 Mar. 1;31(1):222-34. Available from: https://izlik.org/JA29DM46HR