| Title of paper:
|
Centroid of an intuitionistic fuzzy number
|
| Author(s):
|
| Annie Varghese
|
| Department of Mathematics, St. Peter’s College, Kolencherry, Kerala, India
|
| anniestpc@gmail.com
|
| Sunny Kuriakose
|
| Principal, BPC College, Piravom, Kerala, India
|
|
|
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 1, pages 19—24
|
| Download:
|
 PDF (163 Kb, File info)
|
| Abstract:
|
In this paper a formula for finding the centroid of an intuitionistic fuzzy number is introduced and its properties are studied.
|
| Keywords:
|
Fuzzy number, intuitionistic fuzzy number, centroid.
|
| AMS Classification:
|
03E72.
|
| References:
|
- Atanassov, K. T. Intuitionistic fuzzy sets, Physica-Verlag, Heidelberg, New York, 1999.
- Atanassov, K. T. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, No. 1, 87–96.
- Ban, A. Trapezoidal approximations of intuitionistic fuzzy numbers expressed by value, Notes on Intuitionistic Fuzzy Sets, Vol. 14, 2008, No. 1, 38–47.
- Chen, S. J., C. L. Hwang, Fuzzy multiple attribute decision making, Springer-Verlag, Heidelberg, 1992.
- Cheng, C. H. A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Systems, Vol. 95, 1998, 307–317.
- Guha, D., D. Chakraborthy, A theoretical development of distance measure for intuitionistic fuzzy numbers, International Journal of Mathematics and Mathematical Sciences, Vol. 2010, Article ID 949143, 25 pages.
- Klir, G. J., B. Yuan, Fuzzy sets and fuzzy logic Theory and applications, Prentice Hall, New York, 2003.
- Koutsoyiannis, A. Modern Microeconomics, Macmillan Press Ltd, 1979.
- Murakami, S., H. Maeda, S. Imamura, Fuzzy decision analysis on the development of centralized regional energy control system, Proceedings of IFAC Symposium on Fuzzy Information, Knowledge Representation and Decision Analysis, 1983, 363–368.
- Nayagam, V. L. G., G. Venkateshwari and G. Sivaraman, Ranking of intuitionistic fuzzy numbers, Proceedings of IEEE International Conference on Fuzzy Systems, Hong Kong, 2008, 1971–1974.
- Nayagam, V. L. G., G. Venkateshwari, G. Sivaraman, Modified ranking of intuitionistic fuzzy numbers, Notes on Intuitionistic Fuzzy Sets, Vol. 17, 2011, No. 1, 5–22.
- Wang, Y. M., J. B. Yang, D. L. Xu, K. S. Chin, On the centroids of fuzzy numbers, Fuzzy Sets and Systems, Vol. 157, 2006, 919–926.
- Yager, R. R. On a general class of fuzzy connectives, Fuzzy Sets and Systems, Vol. 4, 1980, 235–242.
- Zadeh, L. A. Fuzzy Sets, Information and Control, Vol. 8, 1965, 338–353.
|
| 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.
|
|
