Approach of Fuzzy Multi-objective Decision-Making Based on Lattice-Order Preference
Hao Guang · Journal of Southwest Jiaotong University · 2006
By using the lattice theory,the totally ordering description of scheme optimization was extended to the lattice ordering one.Based on the decision-making theory and the fuzzy set theory,the concept of fuzzy multi-objective lattice-order decision-making was put forward.By introducing the concepts of fuzzy positive and negative ideal solutions,a model for fuzzy multi-objective lattice-order decision-making was constructed,and two algorithms,algorithms 1and 2,for this model were proposed.With the algorithm 1,fuzzy indexes are weighted,then fuzzy positive and negative ideal solutions are determined,and finally a satisfying solution can be obtained by comparing the difference between each scheme and the two ideal solutions.With the algorithm 2,fuzzy positive and negative ideal solutions are determined directly based on fuzzy indexes,then the difference between each scheme and the two ideal solutions is described by introducing the concept of satisfactory degree,finally a satisfying solution can be obtained through weighting.A numerical example shows the consistency of satisfying solutions obtained using the two algorithms.