关键词: 综合评价, 偏序集, 偏序关系, 权重

Abstract: The comprehensive evaluation model represented by partial order set can transform the complete rational paradigm of evaluation into the finite rational paradigm, and then improve the ability of the model to deal with uncertainty and reduce the evaluation risk. On the basis of partial order set theory, the full order weight is extended to partial order weight, and the partial order representation of evaluation function under partial weight sequence is solved. The generalized representation theorem of partial order sets shows that the function expressed in partial order can be valued as fuzzy number, fuzzy hesitation value, interval number, random number and so on. The results show that the comprehensive evaluation of partial order representation solves the problem of empowerment completely and fully expresses the personal preference of decision makers. From the perspective of the operation effect of the model, the range of data processed by the model is increased, the evaluation result is more robust and reliable, and the structured information between schemes is presented through Hasse graph, which has the function of layering and clustering.

Key words: comprehensive evaluation, poset, partial order relation, weight