FUZZY GROUP DECISION MAKING

摘要

A fuzzy model of group decision proposed by Blin (1974) is extended to select a computer integrated manufacturing system (CIM). Each member of a group of n individual decision makers is assumed to have a reflexive, anti-symmetric, and transitive preference ordering P_k, k ε N_n, which totally or partially orders a set X of alternatives. A 'social choice' function is then found which, given the individual preference ordering. Basically, the model allows for the individual decision makers to possess different aims and values while still assuming that the overall purpose is to reach a common acceptable decision. The four main attributes are considered and for each attribute, every group member makes a preference ordering among the alternative CIM systems. The attributes considered are CIMs tactical aims, net present worth, serviceability, management/engineering effort. Then all the preference orderings are combined by a procedure that maximizes the final agreement level. The procedure consists of intersecting the classes of crisp total orderings that are compatible with pairs in the αcuts S_αfor increasingly smaller values of α?until a single crisp total ordering is achieved.