Dynamic systems based on preference graph and distance
Chunxiang Guo, Qiang Guo, Maozhu Jin, Zhihan Lv · Discrete and Continuous Dynamical Systems - S · 2015
A group decision-making approach fusing preferenceconflicts and compatibility measure is proposed , focused ondynamic group decision making with preference information of policymakers ateach time describing with dynamic preference Hasse diagram with theidentification framework of relation between alternative pairs is H=$\{\succ,\parallel,\succeq,\preceq,\approx,\prec,\phi\}$, and the preference graph may containincomplete decision making alternatives. First, the relationship betweenpreference sequences is be defined on the basis of concepts aboutpreference, preference sequence and preference graph; and defining thedecision function that can reflect dynamic preference, such as conflict,comply support and preference distance measure. Finally, through theperspective of conflict and compatible aggregating the comprehensivepreference of each decision makers in each period, and by establishing theoptimization model based on lattice preference distance measure to assemblegroup preference, gives the specific steps of the decision making. Thefeasibility and effectiveness of the approach proposed in this paper areillustrated with a numerical example.