灰色不确定性白化模型的扩展补充  

The Extension and Supplement of Grey Uncertain Model

作　　者：王洪利[1,2] 

机构地区：[1]中原工学院经济管理学院,河南郑州450000 [2]西安交通大学管理学院,陕西西安710009

出　　处：《数学的实践与认识》2013年第16期231-236,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(71001082)

摘　　要：针对以前的研究文献中提出的灰数的白化模型存在局限性,研究了基于灰云的灰数白化模型的进一步扩展和补充.首先概述了已有的灰数白化模型存在局限性,然后给出了"非中点单一最大重要性权值"正态灰云模型、"多最大重要性权值"正态灰云模型和非正态不确定性灰云模型表示和生成方法,最后给出了结论和进一步研究的展望.In order to overcome the shortcoming of ablation function in dealing with the complex problem in classic gray decision, this paper studies on improved ablation function based on the gray cloud model and its applicant in the gray decision. At first the classic ablation function and its shortcoming are given. Then the gray cloud model integrating gray with randomicity is proposed. The numerical character of gray cloud and the method of creating gray model with normal school and are given. Gray number ablation model based on gray cloud is used to replace of the classic ablation function. At last the applicant of ablation model of gray number based on the gray cloud with normal school in the gray clustering decision mak!ng is given. And a experiment is provided to estimate the validity of method.

关 键 词：灰色 不确定 白化模型 灰云模型 

分 类 号：O242.1[理学—计算数学] N941.5[理学—数学]