Interval Number Density Middle Operator in Uncertain Multiple Attribute Decision Making
Guo Ya-jun · Journal of Northeastern University · 2008
Considering the information distribution on the decision makers′ preference,the problem of density weighted averaging middle operator in uncertain multiple attribute decision making is investigated to find out the procedure to determine the weight vector of interval number density operator by extending the middle operator of density of real numbers to that of interval numbers.An interval number density middle(IDM) operator is thus proposed with the interval number density weighted average(IDWA) operator and the interval number density weighted geometric average(IDWGA) operator both defined to give the synthesized operators based on IDM operator,i.e.,the arithmetically weighted IDWA or IDWAWAA operator and the orderly weighted IDWGA or IDWGAOWA operator.A numerical example is given to illustrate how to determine the density weight vector of operators.