Risk Analysis Method:A Fuzzy Approach

In this paper, we present a new fuzzy risk analysis method based on generalized fuzzy numbers. Firstly, we define new arithmetic operations between generalized fuzzy numbers. Then, we propose a new method to measure the degree of similarity between generalized fuzzy numbers. Finally, we apply the new arithmetic operations between generalized fuzzy numbers and proposed similarity measure to develop a new method to deal with fuzzy risk analysis problems.

[1]  Shan-Huo Chen,et al.  A Model and Algorithm of Fuzzy Product Positioning , 1999, Inf. Sci..

[2]  Qi Liu,et al.  A subjective methodology for risk quantification based on generalized fuzzy numbers , 2008, Int. J. Gen. Syst..

[3]  Shyi-Ming Chen.  NEW METHODS FOR SUBJECTIVE MENTAL WORKLOAD ASSESSMENT AND FUZZY RISK ANALYSIS , 1996 .

[4]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on similarity measures of generalized fuzzy numbers , 2003, IEEE Trans. Fuzzy Syst..

[5]  Kai-Yuan Cai,et al.  System failure engineering and fuzzy methodology An introductory overview , 1996, Fuzzy Sets Syst..

[6]  Hsuan-Shih Lee,et al.  Optimal consensus of fuzzy opinions under group decision making environment , 2002, Fuzzy Sets Syst..

[7]  Qi Liu,et al.  A new similarity measure of generalized fuzzy numbers and its application to pattern recognition , 2004, Pattern Recognit. Lett..

[8]  Shin Ta Liu,et al.  Risk Modeling, Assessment, and Management , 1999, Technometrics.

[9]  Chen-Tung Chen,et al.  Aggregation of fuzzy opinions under group decision making , 1996, Fuzzy Sets Syst..

[10]  S. H. Chen,et al.  GRADED MEAN INTEGRATION REPRESENTATION OF GENERALIZED FUZZY NUMBER , 1999 .

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

[12]  Ch.-Ch Chou.  The canonical representation of multiplication operation on triangular fuzzy numbers , 2003 .

[13]  Roozbeh Kangari,et al.  Construction risk assessment by linguistics , 1989 .