Measure of similarity between interval-valued fuzzy numbers based on standard deviation operator

This study suggested a new similarity measured method that based on the standard deviation operator to solve before similarity measurement between interval-valued fuzzy numbers, and 15 sets of interval-valued fuzzy numbers are adopted to compare the proposed method with existing similarity measures. The results of the comparison indicate the proposed is better than existing methods.

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

[2]  Ching-Lai Hwang,et al.  Fuzzy Ranking Methods , 1992 .

[3]  Xiaoping Li,et al.  The applications of interval-valued fuzzy numbers and interval-distribution numbers , 1998, Fuzzy Sets Syst..

[4]  Xiaoping Li,et al.  Correlation and information energy of interval-valued fuzzy numbers , 1999, Fuzzy Sets Syst..

[5]  Jing-Shing Yao,et al.  Constructing a fuzzy flow-shop sequencing model based on statistical data , 2002, Int. J. Approx. Reason..

[6]  Feng-Tse Lin Fuzzy job-shop scheduling based on ranking level (λ, 1) interval-valued fuzzy numbers , 2002, IEEE Trans. Fuzzy Syst..

[7]  Dug Hun Hong,et al.  Some algebraic properties and a distance measure for interval-valued fuzzy numbers , 2002, Inf. Sci..

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

[9]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on measures of similarity between interval-valued fuzzy numbers , 2008, Comput. Math. Appl..

[10]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on similarity measures between interval-valued fuzzy numbers and interval-valued fuzzy number arithmetic operators , 2009, Expert Syst. Appl..

[11]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on interval-valued fuzzy numbers , 2009, Expert Syst. Appl..

[12]  Shyi-Ming Chen,et al.  Analyzing fuzzy risk based on similarity measures between interval-valued fuzzy numbers , 2011, Expert Syst. Appl..