Abstract
Fuzzy systems have gained more and more attention from researchers and practitioners of various fields. In such systems, the output represented by a fuzzy set sometimes needs to be transformed into a scalar value, and this task is known as the defuzzification process. Several analytic methods have been proposed for this problem, but in this paper, firstly the researchers introduce a novel parametric distance between fuzzy numbers and secondly suggest a new approach to the problem of defuzzification, using this distance. This defuzzification can be used as a crisp approximation with respect to fuzzy quantity. By considering this and with benchmark between fuzzy numbers, we can present a method for evaluating. The method can effectively evaluate various fuzzy numbers and their images and overcome the shortcomings of the previous techniques.
Similar content being viewed by others
References
Yager RR, Filev DP (1993) On the issue of defuzzification and selection based on a fuzzy set. Fuzzy Sets Syst 55:255–272
Filev D, Yager RR (1991) A generalized defuzzification method under BAD distribution. Int J Intell Syst 6:687–697
Larkin LI (1985) A fuzzy logic cintroller for aircraft flight control. In: Sugeno M (ed) Industrial applications of fuzzy control. North-Holland, Amsterdam, pp 87–104
Liu X (2001) Measuring the satisfaction of constraints in fuzzy linear programing. Fuzzy Sets Syst 122:263–275
Saneifard R (2009) A method for defuzzification by weighted distance. Int J Indust Math 3:209–217
Ming M, Kandel A, Friedman M (2000) A new approach for defuzzification. Fuzzy Sets Syst 111:351–356
Kauffman A, Gupta MM (1991) Introduction to fuzzy arithmetic: theory and application. Van Nostrand Reinhold, New York
Zimmermann Hj (1991) Fuzzy sets theory and its applications. Kluwer Academic Press, Dordrecht
Saneiafrd R (2011) Some properties of neural networks in designing fuzzy systems. Neural Comput Appl. doi:10.1007/s00521-011-0777-1
Saneifard R, Ezatti R (2010) Defuzzification through a bi symmetrical weighted function. Aust J Basic Appl Sci 10:4976–4984
Allahviranloo T, Abbasbandy S, Saneifard R (2011) A method for ranking fuzzy numbers using new weighted distance. Math Comput Appl 2:359–369
Chu T, Tsao C (2002) Ranking fuzzy numbers with an area between the centroid point and original point. Comput Math Appl 43:11–117
Chen SH (1985) Ranking fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets Syst 17:113–129
Saneifard R, Allahviranloo T, Hosseinzadeh F, Mikaeilvand N (2007) Euclidean ranking DMUs with fuzzy data in DEA. Appl Math Sci 60:2989–2998
Saneifard R (2011) Ranking L-R fuzzy numbers with weighted averaging based on levels. Int J Indust Math 2:163–173
Allahviranloo T, Abbasbandy S, Saneifard R (2011) An approximation approach for ranking fuzzy numbers based on weighted interval-value. Math Comput Appl 3:588–597
Wang X, Kerre EE (2001) Reasonable properties for the ordering of fuzzy quantities (I). Fuzzy Sets Syst 118:378–405
Lee EC, Li RL (1988) Comparison of fuzzy numbers based on the probability measure of fuzzy events. Comput Math Appl 105:887–896
Runz C, Desjardin E, Piantoni F, Herbin M Using fuzzy logic to manage uncertain multi-modal data in an archaeological gis. In: Proceedings of the international symposium on spatial data quality, Pays-Bas, Enschede
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Saneifard, R. Designing an algorithm for evaluating decision-making units based on neural weighted function. Neural Comput & Applic 22, 1125–1131 (2013). https://doi.org/10.1007/s00521-012-0878-5
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00521-012-0878-5