Approach for Random Lattice Order Ranking Based on Preference Entropy Under Interval Belief Degree Circumstance
Chunxiang Guo · Yunchou yu guanli · 2013
A method of random lattice order decision analysis based on interval-valued distribution preference vector by entropy theory is proposed,focused on decision preference system with preference relations' belief degree described by interval-value.First,the preference characterization of decision makers is extended from four variety relations to seven variety preference relations,combined with the concept and property of interval evidence,the concept and property of interval-valued distribution preference vector and relative entropy on the lattice order preference system are given.Then the ER nonlinear optimization model based on preference entropy is established,the individual preferences are aggregated by applying the priority rules and intersection rule,and the specific steps of the decision making are qiven.The feasibility and effectiveness of the approach proposed in this paper are illustrated with a numerical example.