Fuzzy Dominance: a New Approach for Ranking Fuzzy Variables via Credibility Measure

Comparison of fuzzy variables is considered one of the most important topics in fuzzy theory. A new approach for ranking fuzzy variable via credibility measure — fuzzy dominance is presented in this paper. Some basic properties of fuzzy dominance are investigated. As an illustration, the cases of fuzzy dominance rule for triangular fuzzy variables are examined.

[1]  Miao-Ling Wang,et al.  Ranking Fuzzy Number Based on Lexicographic Screening Procedure , 2005, Int. J. Inf. Technol. Decis. Mak..

[2]  Gisella Facchinetti,et al.  A characterization of a general class of ranking functions on triangular fuzzy numbers , 2004, Fuzzy Sets Syst..

[3]  Baoding Liu,et al.  A survey of credibility theory , 2006, Fuzzy Optim. Decis. Mak..

[4]  Soheil Sadi-Nezhad,et al.  Ranking fuzzy numbers by preference ratio , 2001, Fuzzy Sets Syst..

[5]  G. Facchinetti,et al.  Note on ranking fuzzy triangular numbers , 1998 .

[6]  Doheon Lee,et al.  Ranking the sequences of fuzzy values , 2004, Inf. Sci..

[7]  E. Lee,et al.  Comparison of fuzzy numbers based on the probability measure of fuzzy events , 1988 .

[8]  Marc Roubens,et al.  Ranking and defuzzification methods based on area compensation , 1996, Fuzzy Sets Syst..

[9]  K. Paul Yoon,et al.  A probabilistic approach to rank complex fuzzy numbers , 1996, Fuzzy Sets Syst..

[10]  Xiang Li,et al.  A Sufficient and Necessary Condition for Credibility Measures , 2006, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[11]  Ronald R. Yager,et al.  A context-dependent method for ordering fuzzy numbers using probabilities , 2001, Inf. Sci..

[12]  Ching-Hsue Cheng,et al.  A new approach for ranking fuzzy numbers by distance method , 1998, Fuzzy Sets Syst..

[13]  Yian-Kui Liu,et al.  Expected value of fuzzy variable and fuzzy expected value models , 2002, IEEE Trans. Fuzzy Syst..

[14]  Etienne E. Kerre,et al.  Reasonable properties for the ordering of fuzzy quantities (II) , 2001, Fuzzy Sets Syst..

[15]  R. Yager,et al.  On ranking fuzzy numbers using valuations , 1999 .

[16]  T. Chu,et al.  Ranking fuzzy numbers with an area between the centroid point and original point , 2002 .

[17]  Huijun Sun,et al.  A new approach for ranking fuzzy numbers based on fuzzy simulation analysis method , 2006, Appl. Math. Comput..

[18]  Ching-Lai Hwang,et al.  Fuzzy Multiple Attribute Decision Making - Methods and Applications , 1992, Lecture Notes in Economics and Mathematical Systems.

[19]  Lucien Duckstein,et al.  Comparison of fuzzy numbers using a fuzzy distance measure , 2002, Fuzzy Sets Syst..

[20]  Mao-Jiun J. Wang,et al.  Ranking fuzzy numbers with integral value , 1992 .

[21]  G. Bortolan,et al.  A review of some methods for ranking fuzzy subsets , 1985 .

[22]  Francisco Herrera,et al.  Some issues on consistency of fuzzy preference relations , 2004, Eur. J. Oper. Res..

[23]  Ronald R. Yager,et al.  Ranking Fuzzy Numbers Using a-Weighted Valuations , 2000, Int. J. Uncertain. Fuzziness Knowl. Based Syst..