A Modified Approach for Ranking Non-Normal p-norm Trapezoidal Fuzzy numbers

fuzzy numbers is a prerequisite for the decision making problem. In order to rank fuzzy quantities many researchers proposed and analyzed different techniques on triangular and trapezoidal fuzzy numbers. However, no one can claim their method is a satisfactory one. In this paper a modified distance based approach called signed distance proposed by Yao and Wu (9) is discussed. This proposed approach is free from computational complexity in the process of decision making, optimization and forecasting problems. Some Numerical examples are used to illustrate the proposed approach.

[1]  Ramesh Jain,et al.  DECISION MAKING IN THE PRESENCE OF FUZZY VARIABLES , 1976 .

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

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

[4]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on the ranking of generalized trapezoidal fuzzy numbers , 2007, Applied Intelligence.

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

[6]  Hui-Chin Tang,et al.  Ranking nonnormal p-norm trapezoidal fuzzy numbers with integral value , 2008, Comput. Math. Appl..

[7]  Shyi-Ming Chen,et al.  Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads , 2009, Expert Syst. Appl..

[8]  R. Yager.  ON CHOOSING BETWEEN FUZZY SUBSETS , 1980 .

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

[10]  Amit Kumar,et al.  A new approach for ranking nonnormal p-norm trapezoidal fuzzy numbers , 2011, Comput. Math. Appl..

[11]  H. Maeda,et al.  Fuzzy decision analysis in the development of centralized regional energy control systems , 1983 .

[12]  R. Yager.  Ranking fuzzy subsets over the unit interval , 1978, 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes.

[13]  Saeid Abbasbandy,et al.  A new approach for ranking of trapezoidal fuzzy numbers , 2009, Comput. Math. Appl..

[14]  Madan M. Gupta,et al.  Fuzzy mathematical models in engineering and management science , 1988 .

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

[16]  Saeid Abbasbandy,et al.  Ranking of fuzzy numbers by sign distance , 2006, Inf. Sci..

[17]  Ronald R. Yager,et al.  A procedure for ordering fuzzy subsets of the unit interval , 1981, Inf. Sci..

[18]  Jing-Shing Yao,et al.  Ranking fuzzy numbers based on decomposition principle and signed distance , 2000, Fuzzy Sets Syst..