基于可能性分布和信息熵的舞台方案模糊决策  

Fuzzy decision-making approach to platform projects based on possibility distribution and information entropy

作　　者：何俐萍[1] 黄洪钟[2] 刘志杰[1] 

机构地区：[1]大连理工大学精密与特种加工教育部重点实验室,辽宁大连116023 [2]电子科技大学机械电子工程学院,四川成都610054

出　　处：《华中科技大学学报（自然科学版）》2006年第9期107-110,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(59685003);高等学校全国优秀博士学位论文作者专项基金资助项目(200232)

摘　　要：升降舞台结构方案选择中存在着大量的模糊和主观因素.在分析现有评价方法的基础上,尝试运用可能性理论处理舞台结构方案中蕴含的不确定性信息,提出了一种新的基于可能性分布、结合熵值赋权的模糊综合决策方法.通过考虑影响评价的各种来源和形式的信息,将专家知识转化为对变量取值的弹性约束,引入可能性分布表征升降舞台结构方案选择问题中包含的模糊因素,构造出相应的方案集和评价指标体系,建立了可以进行模糊推理和决策的评价模型;应用模糊变换原理,对评价系统各层次指标依次判别,并采用一种主客观组合的赋权方式进行权重分配,在单因素基础上形成综合判断.阐述了求解原理和实施步骤,并通过实例分析比较说明了该法的可行性.There exist a large variety of fuzzy and subjective factors in structural concepts selection of lifting platform. Referring to previous methods, a new possibility-distribution-based fuzzy decisionmaking approach is proposed, integrating entropy with hybrid weighting method and attempting to deal with uncertain information by possibility theory. With a view to uncertain information stems from diversified sources and forms, experts＇ opinions were first translated into elastic restrictions refined to fuzzy variables, and then the notion of possibility distribution was introduced to token existent fuzzy factors involved in concepts selection of platform structures. A comprehensive model for reasoning and evaluating was next constructed corresponding to given options and indexes, combining objective weighting strategy with subjective one in a natural way. The assessment principles and steps were presented in turn on the basis of several single-factor considerations. Example resulting in three different cases shows that the proposed approach is feasible in principle and practicable for interrelated enterprise. Lastly, some relevant issues were discussed summarily, including applied expansibility of information entropy, modification of weight, inverse problem of comprehensive assessment and utility of evaluation, etc.

关 键 词：模糊决策 方案选择 可能性分布 信息熵 

分 类 号：TH211[机械工程—机械制造及自动化]