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] 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