Ranking fuzzy numbers with an area method using radius of gyration

Computers and Mathematics with Applications

Volumn 51, Issue 6-7, 2006, Pages 1127-1136

  Deng, Yong ^a   Zhenfu, Zhu ^b   Qi, Liu ^c  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b National Key Laboratory on Optical Features of Environment and Target   (China)

^c Chinese Academy of Sciences   (China)

Author keywords

Area; Distance index; Fuzzy numbers; Radius of gyration; Ranking

Indexed keywords

COMPUTATIONAL LINGUISTICS; DECISION MAKING; NUMBER THEORY;

AREA; DISTANCE INDEX; FUZZY NUMBERS; RADIUS OF GYRATION; RANKING;

FUZZY SETS;

EID: 33745836126     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2004.11.022     Document Type: Article

References (25)

1. Jain R. Decision-making in the presence of fuzzy variables. IEEE Transaction on Systems Man and Cyberneties 6 (1976) 698-703
2. Jain R. A procedure for multi-aspect decision making using fuzzy sets. International Journal of Systems Science 8 (1978) 1-7
3. Chen S.H. Ranking fuzzy numbers with maximizing set and minimizing set. Fuzzy Sets and Systems 17 (1985) 113-129
4. Raj P.A., and Kumar D.N. Ranking alternatives with fuzzy weighs using maximizing set and minimizing set. Fuzzy Sets and Systems 105 (1999) 365-375
5. Liou T.S., and Wang M.J. Ranking fuzzy numbers with integral value. Fuzzy Sets and Systems 50 (1992) 247-255
6. Tseng T.Y., and Klein C.M. New algorithm for the ranking procedure in fuzzy decision making. IEEE Transaction on Systems Man and Cybernetics 19 (1989) 1289-1296
7. Fortemps P., and Roubens M. Ranking and defuzzification methods based on area compensation. Fuzzy Sets and Systems 82 (1996) 319-330
8. Chen C.B., and Klein C.M. A simple approach to ranking a group of aggregated fuzzy utilities. IEEE Transaction on Systems Man and Cybernetics 27 (1997) 26-35
9. Chen C.B., and Klein C.M. An efficient approach to solving fuzzy MADM problems. Fuzzy Sets and Systems 88 (1997) 51-67
10. Kwang H.L., and Lee J.H. A method for ranking fuzzy numbers and its application to decision-making. IEEE Transaction on Fuzzy Systems 7 (1999) 677-685
11. Mabuchi S. An approach to the comparison of fuzzy numbers with an α-cut dependent index. IEEE Transaction on Systems Man and Cybernetics 18 (1988) 264-272
12. Yager R.R. On choosing between fuzzy numbers. Kybernetes 9 (1980) 151-154
13. Yager R.R. On a general class of fuzzy connectives. Fuzzy Sets and Systems 4 (1980) 235-242
14. Yager R.R. A procedure for ranking fuzzy subsets of the unit interval. Information Science 24 (1981) 143-161
15. Chen L.H., and Lu H.W. An approximate approach for ranking fuzzy numbers based on left and right dominance. Computers Math. Applic. 41 12 (2001) 1589-1602
16. Dubois D., and Prade H. Ranking fuzzy numbers in the setting of possible theory. Information Science 30 (1981) 183-224
17. Lee K.M., Cho C.H., and Kwang H.L. Ranking fuzzy values with satisfaction function. Fuzzy Sets and Systems 64 (1994) 295-311
18. Yager R.R., and Dimitar F. On ranking fuzzy numbers using valuations. International Journal of Intelligent Systems 14 (1999) 1249-1268
19. Bortolan C., and Degani R. A review of some methods for ranking fuzzy numbers. Fuzzy Sets and Systems 15 (1985) 1-19
20. Chen S.J., and Hwang C.L. Fuzzy Multiple Attribute Decision Making (1992), Springer-Verlag, Berlin
21. Lee E.S., and Li R.J. Comparison of fuzzy numbers based on the probability measure of fuzzy events. Computers Math. Applic. 15 10 (1988) 887-896
22. Cheng C.H. A new approach for ranking fuzzy numbers by distance method. Fuzzy Sets and Systems 95 (1998) 307-317
23. Chu T.C., and Tsaoi C.T. Ranking fuzzy numbers with an area between the centroid point and original point. Computers Math. Applic. 43 1/2 (2002) 111-117
24. Dubois D., and Prade H. Operations on fuzzy numbers. International Journal of Systems Science 9 (1978) 613-626
25. Hibbeler R.C. Mechanics of Materials (2000), Prentice Hall, New Jersey