基于可变模糊集的质变与量变定理——兼论集对分析  

The Change of Qualitative and Quantitative Theory Based on Variable Fuzzy Sets——And Discuss on SPA

作　　者：陈守煜[1] 

机构地区：[1]大连理工大学土木水利学院,辽宁大连116023

出　　处：《数学的实践与认识》2009年第11期195-201,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金项目(50779005);水利部科技创新项目(SCXC2005-01)

摘　　要：基于可变模糊集理论中的相对比例函数定义,第一次提出唯物辩证法三大规律之一"质量互变规律"的严密数学定理:质变定理与量变定理.据此提出博弈定理、投票定理.根据提出的这些定理与集对分析的基础概念进行了比较分析.Based on relative scale function of the variable fuzzy set theory, first puts forward the meticulous mathematical theorems to ＂Quality and Quantity mutual change regularity＂ ,the one of three regularity of Materialist Dialectics. Based on this, puts forward the game theorem and the voting theorem. Based on the these theorem, the paper analysis the basic concept of Set-Pair Analysis, and points out the problems of Set-Pair Analysis.

关 键 词：可变模糊集 质变 量变 博弈 投票 集对分析 

分 类 号：O159[理学—数学]