基于多属性可拓灰关联决策模型的产品方案设计  

Mechanism scheme design based on multi-attribute extension gray relevant optimized decision-making model

作　　者：王体春[1,2,3] 杨爱军[1] 卜良峰[4] 

机构地区：[1]南京航空航天大学机电学院,南京210016 [2]江苏省精密与微细制造技术重点实验室,南京210016 [3]无锡同捷汽车设计有限公司,无锡214072 [4]哈尔滨电机厂有限责任公司产品设计部,哈尔滨150040

出　　处：《系统工程理论与实践》2013年第9期2321-2329,共9页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(51005114);江苏省高校优势学科建设工程资助项目(PAPD);中央高校基本科研业务费专项资金(56XAA12060);高等学校博士学科点专项科研基金(20112302130003)

摘　　要：针对复杂产品方案设计含有不确定性和不完全性设计信息的特点,研究了方案设计多属性可拓灰关联决策问题,给出了基于灰色系统理论和可拓理论相融合的多属性可拓灰关联决策方法,建立了基于可拓灰关联优属度的多属性可拓模糊决策模型.该模型通过引入灰色物元进行多属性规范化处理,构建了综合考虑灰色信息的灰色物元正负域,基于相应的正负理想灰色物元建立了灰色信息的可拓距,并利用决策方案的可拓灰关联优属度从整体性的角度获得最优方案.最后,通过实例验证了该模型的有效性和可行性.Due to the uncertain interval and the incomplete attribute information in the procedure of the complex mechanism scheme design, the multi-attribute extension gray relevant optimized decision-making problem of scheme design is studied. The methods for the multi-attribute decision making based on the grey system theory and the extension theory are analyzed. bership degree of design schemes, the multi-attribute Based on the optimal extension gray relevant mem- extension gray relevant optimized decision-making model is developed. By adopting the gray-matter element, the multiple-attribute extension decision making matrix is standardized, and the dummy ideal region and the negative ideal region of gray-matter element with integrated attribute information are proposed. Then, the extension distance of gray information is presented, based on these, the optimum design scheme is achieved in the whole system. Finally, an example is provided to validate and prove its efficiency and feasibility.

关 键 词：多属性决策 方案设计 灰色物元 灰关联分析 可拓理论 

分 类 号：C934[经济管理—管理学] TV741[水利工程—水利水电工程]