| Title of paper:
|
Another definition of symmetrical difference over intuitionistic fuzzy sets
|
| Author(s):
|
| Wen Sheng Du
|
Department of Mathematics, Zhoukou Normal University, Zhoukou 466000, P.R. China
School of Mathematics and Statistics, Wuhan University, Wuhan 430072, P.R. China
|
| wsdu@whu.edu.cn
|
|
| Published in:
|
"Notes on IFS", Volume 19, 2013, Number 3, pages 14—19
|
| Download:
|
 PDF (84 Kb, File info)
|
| Abstract:
|
In the present paper, a new way to define symmetrical difference generated by union, intersection and negation over intuitionistic fuzzy sets are introduced, and its related properties are also investigated.
|
| Keywords:
|
Intuitionistic fuzzy sets, Symmetrical difference, Operations, Properties.
|
| AMS Classification:
|
03E72
|
| References:
|
- Antonov, A. Symmetrical difference over intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 10, 2004, No. 3, 33–36.
- Atanassov, K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
- Atanassov, K. More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 33, 1989, 37–46.
- Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Bustince, H., Burillo, P. Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 79, 1996, 403–405.
- Bustince, H., Burillo, P., Mohedano, V. A method for inference in approximate reasoning based on normal intuitionistic fuzzy sets, Notes on Intuitionistic Fuzzy Sets, Vol. 1, 1995, No. 1, 51–55.
- De, S. K., R., Biswas, A. R. Roy. An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets and Systems, Vol. 117, 2001, 209–213.
- Deschrijver, D., E. E. Kerre. On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems, Vol. 133, 2003, 227–235.
- Gau, W. L., D. J. Buehrer. Vague sets, IEEE Transactions on Systems, Man and Cybernetics, Vol. 23,1993, 610–614.
- Li, D., C. Chen. New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognition Letters, Vol. 23, 2002, 221–225.
- Xu, Z. Some similarity measures of intuitionistic fuzzy sets and their applications to multiple attribute decision making, Fuzzy Optimization and Decision Making, Vol. 6, 2007, 109–121.
- Zadeh, L. A. Fuzzy sets, Information and Control, Vol. 8, 1965, 338–353.
- Zadeh, L. A. The concept of a linguistic variable and its application to approximate reasoning, part I [J]. Information Sciences, Vol. 8, 1975, 199–249.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
