Title of paper:
|
Intuitionistic Fuzzy Delphi Method: More realistic and interactive forecasting tool
|
Author(s):
|
Tapan Kumar Roy
|
Department of Mathematics, Bengal Engineering and Science University, Shibpur, Howrah, West-Bengal, Pin 711103, India
|
roy_t_k@yahoo.co.in
|
Arindam Garai
|
Department of Mathematics, Sonarpur Mahavidyalaya, Sahid Biswanath Sarani, Sonarpur, South 24 Parganas, West Bengal, Pin 700149, India
|
fuzzy_arindam@yahoo.com
|
|
Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 18 (2012) Number 2, pages 37—50
|
Download:
|
PDF (539 Kb, File info)
|
Abstract:
|
This paper presents a new and improved version of Fuzzy Delphi Method by using triangular intuitionistic fuzzy number (TIFN). In case of real life usage of Delphi Method, information communicated by experts is not used with complete potential. Only some of the information provided are actually accessed or used. And, hence we may not come to a highly accurate and realistic conclusion always. But, in case of Intuitionistic Fuzzy Delphi Method, communication with experts is the same as Fuzzy Delphi Method yet an improved and elaborative statistical tool is used to reach in better conclusions. Subjective information is more likely to be like a quasi-objective data in case of intuitionistic fuzzy number and hence use of intuitionistic fuzzy number is more justified. Also, the experts use their individual competency and subjectivity and are somehow uncertain to air their opinions. Thus, they prefer degree of non-membership over degree of membership and this is the very reason why use of intuitionistic fuzzy concepts is more relevant than fuzzy concepts. Moreover, by using TIFNs, it is easier for an expert to study the realization data which are nested within one another than triangular fuzzy numbers (TFNs). And, the concept of sheaf of intuitionistic fuzzy numbers is an aggregation process which appears to be very convenient for the objectification of (somehow hazy) subjective opinions.
|
Keywords:
|
Fuzzy Delphi Method, Application of TIFN, Decision making technique.
|
AMS Classification:
|
03F55, 62C86.
|
References:
|
- Atanassov K. Intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 20, 1986, 87–96.
- Atanassov, K. Ideas for intuitionistic fuzzy equations, inequalities and optimization, Notes on Intuitionistic Fuzzy Sets, Vol. 1, 1995, No. 1, 17–24.
- Atanassov, K. Two theorems for intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 110, 2000, 267–269.
- Bellman, R. E., L. A. Zadeh. Decision making in a fuzzy environment, Management Science, Vol. 17, 1970, B141–B164.
- Dubois, D., H. Prade. The mean value of a fuzzy number, Fuzzy Sets and Systems, Vol. 24, 1987, 279–300.
- Szmidt, E., J. Kacprzyk. Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, Vol. 114, 1997, 505–518.
- Grzegorzewski, P. Metrics and orders in space of fuzzy numbers, Fuzzy Sets and Systems, Vol. 97, 1998, 83–94.
- Kaufmann, A., M. M. Gupta. Fuzzy Mathematical Models in Engineering and Management Science. Elsevier Science Inc., New York, 1988.
- Dalkey, N., O. Helmer. An experimental application of the Delphi Method to the use of experts. Management Science, Vol. 9, 1963, 458–467.
- Chu, H. C., G. J. Hwang. A Delphi-based approach to developing expert systems with the cooperation of multiple experts. Expert Systems with Applications, Vol. 34, 2008, 2826–2840.
- Hsu, H. M., C. T. Chen. Aggregation of fuzzy opinions under group decision making, Fuzzy Sets and Systems, Vol. 79, 1996, 279–285.
- Klir, G. J., T. A. Folger. Fuzzy Sets, uncertainty, and information, Prentice-Hall International, 1988.
- Wikipedia contributors. Delphi method. Wikipedia, The Free Encyclopedia. [13 June, 2012 09:57 UTC] http://en.wikipedia.org/w/index.php?title=Delphi_ method&oldid=497372084 (accessed 17 June, 2012).
|
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.
|
|