Uni-Type Modal Operators On Intuitionistic Fuzzy Sets
PDF

Keywords

Diagram of modal operators
Intuitionistic fuzzy operators
uni-type modal operators.

How to Cite

Gökhan Cuvalcıoglu. (2014). Uni-Type Modal Operators On Intuitionistic Fuzzy Sets. Journal of Advances in Applied &Amp; Computational Mathematics, 1(1), 14–20. https://doi.org/10.15377/2409-5761.2014.01.01.3
Received 2014-10-24
Accepted 2014-10-24
Published 2014-10-10

Abstract

Intuitionistic Fuzzy Modal Operator was defined by Atanassov, he introduced the generalization of these modal operators. After this study, some authors defined some modal operators which are called one type and two type modal operator on intuitionistic fuzzy sets. In these studies, some extensions and characteristic properties were obtained.

In this paper we defined new operators and examine some properties of them. In view of conclusions, it is shown that these operators are both one type and two type modal operators on Intuitionistic Fuzzy Sets. So, these common type modal operators are called uni-type modal operators on Intuitionistic Fuzzy Sets.
https://doi.org/10.15377/2409-5761.2014.01.01.3
PDF

References

Atanassov KT. Intuitionistic Fuzzy Sets. Fuzzy Sets and Systems 1986; 20: 87-96. http://dx.doi.org/10.1016/S0165-0114(86)80034-3

Atanassov KT. Intuitionistic Fuzzy Sets. Phiysica-Verlag, Heidelberg, NewYork 1999. http://dx.doi.org/10.1007/978-3-7908-1870-3

Atanassov KT. Remark on Two Operations Over Intuitionistic Fuzzy Sets. Int J Unceratanity Fuzzyness and Knowledge Syst 2001; 9(1): 71-75.

Atanassov KT. The most general form of one type of intuitionistic fuzzy modal operators. NIFS 2006; 12(2): 36-38.

Atanassov KT. Some Properties of the operators from one type of intuitionistic fuzzy modal operators. Advanced Studies on Contemporary Mathematics 2007; 15(1) 13-20.

Atanassov KT. The most general form of one type of intuitionistic fuzzy modal operators, Part 2. NIFS 2008; 14(1): 27-32.

Çuvalcoglu G. Some Properties of E ?,?operator. Advanced Studies on Contemporary Mathematics 2007; 14(2): 305- 310.

Çuvalcoglu G. On the diagram of One Type Modal Operators on Intuitionistic Fuzzy Sets: Last Expanding with Z?,??,?. Iranian Journal of Fuzzy Systems 2013; 10(1): 89-106

Dencheva K. Extension of intuitionistic fuzzy modal operators → and →. Proc. of the Second Int. IEEE Symp. Intelligent systems, Varna 2004; 3: 21-22.

Doycheva B. Inequalities with intuitionistic fuzzy topological and Gökhan Çuvalcoglu's operators. NIFS 2008; 14(1): 20- 22.

Li D, Shan F, Cheng C. On Properties of Four IFS Operators. Fuzzy Sets and Systems 2005; 154: 151-155. http://dx.doi.org/10.1016/j.fss.2005.03.004

Zadeh LA. Fuzzy Sets. Information and Control 1965; 8: 338- 353. http://dx.doi.org/10.1016/S0019-9958(65)90241-X