可拓集中关联函数的研究进展

摘要

可拓集是继康托集和模糊集之后提出的又一基本集合概念,它从变换的角度探讨研究对象具有某种性质的程度及其变化,并用关联函数进行定量化衡量,进而用于研究变化的分类和分类的变化以及矛盾问题的转化.本文首先分析上述3类集合的区别与联系,然后介绍可拓集中初等关联函数构造的最新研究进展.对可拓集中关联函数的进一步深入研究,将对可拓策略生成系统、可拓数据挖据、可拓控制与检测等研究具有重要的科学意义和应用价值.%Following Cantor set and fuzzy set, extension set is another basic set put forward by Chinese scholars. It explored the degrees that research objects possessed certain characteristics and their transformations from transformable perspective. The degrees were weighed quantitatively by the use of dependent functions. Then, they were used to study changing classifications, classified changes and the transforming of contradictory problems. The differentiation and affiliation of the three sets mentioned above were analyzed , and the recent research progress in the formation of elementary dependent functions in extension sets was introduced. The farther lucubrating for dependent functions in extension sets will have important scientific significance and applied values for extension strategy generating system, extension data mining, extension control and extension detecting, etc.