Review of Shadowed Set for Fuzzy Data Approximation Processing
Shadowed set(SS)is a kind of uncertain knowledge discovery model which carries out three-way approx-imate processing on fuzzy sets.It can effectively approximate and partition the uncertain objects with precise val-ues in fuzzy sets,so as to reduce the decision partitioning cost and calculation loss of uncertain objects in fuzzy de-cision-making process.Firstly,the development of shadowed set is reviewed,and introduces its research status and content from four aspects:Model construction,theoretical properties,data analysis and application research.By summarizing and analyzing their core ideas,methodological systems,interrelationships,and differences,etc.,this paper provides reference for subsequent research in this field.Subsequently,the connection between shadowed set theory and other uncertainty problem handling theoretical models is discussed and analyzed,especially the differ-ences,connections and complementarities between shadowed set and fuzzy sets,rough sets,and three-way decision theories.Finally,based on the above four research aspects,some current challenging research problems are ana-lyzed and prospected.