completely independent system of axioms

To overcome the objective conflicts of multi-attribute decision-making and reduce the complicacy of repetitive decision-making,a directed hierarchy model of multiple criteria analysis based on the independence axiom and an evaluation method based on the improved information axiom were presented through investigating the decision-making process based on the axiomatic design theory.

针对多属性决策过程中容易引起目标冲突、重复决策过程复杂等问题,对基于公理设计理论的多属性决策过程进行了研究,提出了基于独立公理的有向层次化指标分析体系和基于信息公理的方案评价方法。

Two combinatorial structures of regular and weightable independent systems were established based on the general cases of multi-key problems.

以多把钥匙问题的一般情形为基础,建立了正则独立系统和可赋权独立系统两种组合结构。

Let (E,I) be an independent system with rank r.

本文给出在秩为ｒ的独立系统（Ｅ，Ｉ）（ＩＰ（Ｅ））中求ｍａｘ｛ｍ（Ｘ）｜Ｘ∈Ｉ｜，｜Ｘ｜＝ｒ｝和ｍｉｎ｛△（Ｘ）｜Ｘ∈Ｉ｜，｜Ｘ｜＝ｒ｝的有效算法及其证明。

Through proving, it is draw the conclusion that deduction of SFP is tenable strictly in the intertia reference system of N objects independent system, and on the basis of this, the common formula of the deduction of SFP in non-inertia system of N objects independent system, and the extending formula in non-inerti.

通过证明,得出了系统功能原理推论在N(N≥2)体独立系统的惯性参考系中严格成立的结论;在此基础上推导出了系统功能原理推论在N体独立系统的非惯性参考系中的一般表达式,在N体非独立系统的非惯性参考系中的推广表达式,为功能理论的新发展奠定了基础。