基于IVFS的IV—模糊度与IV—贴近度及积分表示  

On the IV-fuzzy Degree and the IV-similar Degree of IVFS and Their Integral Representation

作　　者：王贵君[1] 李晓萍[1] 

机构地区：[1]天津师范大学数学科学学院,天津300074

出　　处：《工程数学学报》2004年第2期195-201,共7页Chinese Journal of Engineering Mathematics

基　　金：天津市高等学校科技发展基金项目(20031410);天津师范大学引进人才科研启动基金项目(1335LR106).

摘　　要：在区间值模糊集空间上,给出描述IV—模糊度与IV—贴近度的公理化定义,借助于Lebesgue积分构造一种具体的IV—模糊度和IV—贴近度,从而获得由IV—贴近度刻划IV—模糊度的两种方法。On the space of interval valued fuzzy sets, give the axiomatize definitions discribing the IV-fuzzy degree and the IV-similar degree, taking advantage of Lebesgue's integrals,constructe a kind of concrete IV-fuzzy degree and IV-similar degree. Consequently, obtain two kinds of methods of representing the IV-fuzzy degree with the IV-similar degree. This trsult will be applied to the interval analysis and pattern recognition.

关 键 词：区间值模糊集 Ⅳ-模糊度 Ⅳ-贴近度 LEBESGUE积分 

分 类 号：O159[理学—数学]