A NEW SIMILARITY MEASURE BETWEEN TYPE-2 FUZZY NUMBERS AND FUZZY RISK ANALYSIS

In this paper, we present a revised similarity measure based on Chen-and-Chen's similarity measure for fuzzy risk analysis. The revised sim- ilarity measure uses the corrected formulae to calculate the centre of gravity points, therefore it is more effective than the Chen-and-Chen's method. The revised similarity measure can overcome the drawbacks of the existing meth- ods. We have also proposed a new similarity measure between type-2 fuzzy numbers and a method for handling fuzzy risk analysis problem.

[1]  Jian-Bo Yang,et al.  On the centroids of fuzzy numbers , 2006, Fuzzy Sets Syst..

[2]  D Stephen Dinagar,et al.  FUZZY PROGRAMMING BASED ON TYPE-2 GENERALIZED FUZZY NUMBERS , 2011 .

[3]  Ellen Hisdal,et al.  The IF THEN ELSE Statement and Interval-Valued Fuzzy Sets of Higher Type , 1981, Int. J. Man Mach. Stud..

[4]  D. Stephen Dinagar,et al.  TWO PHASE APPROACH FOR SOLVING TYPE-2 FUZZY LINEAR PROGRAMMING PROBLEM , 2011 .

[5]  Lotfi A. Zadeh,et al.  The Concepts of a Linguistic Variable and its Application to Approximate Reasoning , 1975 .

[6]  Robert Ivor John,et al.  Type 2 Fuzzy Sets: An Appraisal of Theory and Applications , 1998, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[7]  V. Fotea,et al.  THE DIRECT AND THE INVERSE LIMIT OF HYPERSTRUCTURES ASSOCIATED WITH FUZZY SETS OF TYPE 2 , 2008 .

[8]  Nazirah Ramli,et al.  A COMPARATIVE ANALYSIS OF CENTROID METHODS IN RANKING FUZZY NUMBERS , 2009 .

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

[10]  Y. Jun,et al.  SOME TYPES OF (Î,Î VQ)-INTERVAL-VALUED FUZZY IDEALS OF BCI ALGEBRAS , 2009 .

[11]  Shyi-Ming Chen,et al.  Analyzing fuzzy risk based on a new similarity measure between interval-valued fuzzy numbers , 2009, 2009 International Conference on Machine Learning and Cybernetics.

[12]  Hooman Tahayori,et al.  Approximated Type-2 Fuzzy Set Operations , 2006, 2006 IEEE International Conference on Fuzzy Systems.

[13]  Antonio Maturo,et al.  ON SOME STRUCTURES OF FUZZY NUMBERS , 2009 .

[14]  A. Saeidifar,et al.  THE PERCENTILES OF FUZZY NUMBERS AND THEIR APPLICATIONS , 2009 .

[15]  Shyi-Ming Chen,et al.  A new method to measure the similarity between fuzzy numbers , 2001, 10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297).

[16]  Shyi-Ming Chen,et al.  A new approach for fuzzy risk analysis based on similarity measures of generalized fuzzy numbers , 2009, Expert Syst. Appl..

[17]  George J. Klir,et al.  Fuzzy sets and fuzzy logic - theory and applications , 1995 .