摘要
大数据时代背景下,不但数据的不确定性愈发明显,数据的冲突性(不相容)现象亦越来越突出.两极性和模糊性一样是事物的本质属性,模糊集虽然是处理不确定信息的有力工具,却一直忽略了不相容两极性问题.双极值模糊集首次将不相容两极性引入到模糊集理论中,为分析和解决带有不相容特性的大数据问题提供了新的思路和方法,其研究渐渐成为热点.综述首先阐述了两极性的种类与特点,以及双极值模糊集的相关概念、理论,特别是和其他已有模糊集的区别;接着分析了双极值模糊集国内外发展现状;最后分析了双极值模糊集未来的发展方向.通过综述,将对双极值模糊集有一个全面的认识,为下一步研究打下基础.
In the big data background,not only the uncertainty of data is getting increasingly apparent,but also the incompatibility of data is becoming more and more prominent.The bipolarity as well as the fuzziness,is the instinct nature of everything.Although fuzzy set is the powerful tool to handle uncertain information,it has always neglected the incompatible bipolarity.Bipolar?valued fuzzy set introduced the incompatible bipolarity into fuzzy set theory,pro?viding anew way to analyze and solve big data with incompatible nature,which has become a research hotspot.In this research summary,the category and characteristics of bipolarity are illustrated,then some concepts and theories are reviewed,especially the difference between bipolar?valued fuzzy sets and other corresponding fuzzy sets. Secondly, the research situations on bipolar?valued fuzzy setindomestic and world circles are discussed. Lastbut not least,the future development trend of bipolar?valued fuzzy set is analyzed.The summary provides an overall insight,as well as?constructs solid foundation for further studyinto bipolar?valued fuzzy set.
出处
《南京信息工程大学学报(自然科学版)》
CAS
2015年第6期512-518,共7页
Journal of Nanjing University of Information Science & Technology(Natural Science Edition)
基金
国家自然科学基金(61503191
61502239)
江苏省自然科学基金(BK20150924
BK20150933)
2015年江苏省高校优秀中青年教师和校长境外研修基金
江苏省高校自然科学基金(13KJB2007)
关键词
模糊集
双极值模糊集
两极性
不相容两极性
大数据
fuzzy set
bipolar-valued fuzzy set
bipolarity
inconsistent bipolarity
big data