Regret theory approach to multiple attribute decision making with three-parameter interval number
CHEN Zhi-wang
WANG Xiao-fei
SHAO Yu-jie
ZHANG Zi-zhen
LI Guo-qiang
Abstract：A kind of regret theory approach is developed for multiple attribute decision making with three-parameter in-terval number. Firstly, three-parameter interval number is converted into two-parameter interval number before comparison between two three-parameter interval numbers for avoiding loss of uncertain information. Secondly, regret-rejoice value and overall perceived utility value of alternatives are obtained by the utility value of each attribute for alternatives and the positive ideal alternative according to the decision information with two-parameter interval number under different states. Thirdly, if the scope of attribute weights is known,the attribute weights are achieved by constructing a programming model which satisfies the maximum overall perceived utility values of alternatives;if weight information is completely unknown,the attribute weights are got by water-filling theory. Finally overall utility values of alternatives are calculated with weighted sum method, therefore, a ranking of alternatives can be determined by comparison of overall utility value of alternatives.
Keywords：decision makingmultiple attribute decision makingthree-parameter interval numberregret theorywater-filling theory
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：11( 1214-1224 )