Abstract
In this paper, we classify all the approaches to order fuzzy quantities into three classes. Then we focus our attention on the investigation of dependency among the elements of the first class of ordering approaches.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.M. Adamo, Fuzzy decision trees, Fuzzy Sets and Systems 4 (1980) 207–219.
G. Bortolan and R. Degani, A review of some methods for ranking fuzzy subsets, Fuzzy Sets and Systems 15 (1985) 1–19.
R.R. Yager, Ranking fuzzy subsets over the unit interval, Proc. CDC (1978) 1435–1437.
R.R. Yager, On choosing between fuzzy subsets, Kybernetes 9 (1980) 151–154.
R.R. Yager, A procedure for ordering fuzzy sets of the unit interval, Information Sciences 24 (1981) 143–161.
T. Liou and J. Wang, Ranking fuzzy numbers with integral value, Fuzzy Sets and Systems 50 (1992) 247–255.
F. Choobineh and H. Li, An index for ordering fuzzy numbers, Fuzzy Sets and Systems 54 (1993) 287–294.
L. Campos and A. Munoz, A subjective approach for ranking fuzzy numbers, Fuzzy Sets and Systems 29 (1989) 145–153.
W. Chang, Ranking of fuzzy utilities with triangular membership functions, in: Proceedings of International Conference on Policy Analysis and Systems (1981) 263–272.
R. Jain, A procedure for multiple-aspect decision making using fuzzy set, International Journal of Systems Sciences 8 (1977) 1–7.
EE. Kerre, The use of fuzzy set theory in eletrocardiological diagnostics, in: Approximate reasoning in decision-analysis (North-Holland Publishing Company, 1992) 277–282.
X. Wang, A class of approches to ordering alternatives, MSc thesis, Taiyuan University of Technology, 1987 (in Chinese).
S. Chen, Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems 17 (1985) 113–129.
K. Kim and K. S. Park, Ranking fuzzy numbers with index of optimism, Fuzzy Sets and Systems 35 (1990).
S.M. Baas and H. Kwakernaak, Rating and ranking of multiple-aspect alternatives using fuzzy sets, Automatic 13 (1977) 47–58.
J. F. Baldwin and N. C. F. Guild, Comparison of fuzzy sets on the same decision space, Fuzzy Sets and Systems 2 (1979) 213–231.
D. Dubois and H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Information Sciences 30 (1983) 183–224.
K. Nakamura, Preference relations on a set of fuzzy utilities as a basis for decision making, Fuzzy Sets and Systems 20 (1986) 147–162.
M. Delgado, J. L. Verdegay and M. A. Vila, Aprocedure for ranking fuzzy numbers, Fuzzy Sets and Systems 26 (1988) 49–62.
W. Kolodziejczyk, Orlovsky’s concept of decision-making with fuzzy preference relation: further results, Fuzzy Sets and Systems 19 (1990) 197–212.
J. J. Saade and H. Schwarzlander, Ordering fuzzy sets over the real line: an approach based on decision making under uncertainty, Fuzzy Sets and Systems 50 (1992) 237–246.
Y. Yuan, Criteria for evaluating fuzzy ranking methods, Fuzzy Sets and Systems 43 (1991) 139–157.
S. Chen and C. Hwang, Fuzzy Multiple Attribute Decision Making, (Springer-Verlag Berlin Heideberge, 1992) 101–486.
X. Wang and D. Ruan, On the transitivity of fuzzy preference relations in ranking fuzzy numbers, in: Fuzzy Set Theory and Advanced Mathematical Applications (Kluwer Academic Publishers, 1995) 155–173.
T.L. Saaty, Fuzzy hierarchical analysis (McGraw-Hill, 1980).
J. J. Buckley and S. Chanas, A fast method of ranking alternatives using fuzzy numbers, Fuzzy Sets and Systems 30 (1989) 337–339.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers
About this chapter
Cite this chapter
Wang, X., Kerre, E. (1996). On the Classification and the Dependencies of the Ordering Methods. In: Ruan, D. (eds) Fuzzy Logic Foundations and Industrial Applications. International Series in Intelligent Technologies, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1441-7_4
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1441-7_4
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8627-1
Online ISBN: 978-1-4613-1441-7
eBook Packages: Springer Book Archive