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,providing 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 asconstructs solid foundation for further studyinto bipolar-valued fuzzy set.