The framework of quotient space theory is proposed by the domestic scholars Academician Zhang Bo and Professor Zhang Ling in the1980s, which has become one of the three models of granular computing. In quotient space theory, triplet (X,T,f) is proposed to describe a problem space, where X denotes the universe; T is the structure of universe X, namely the relationship of different items at universe X; and f:x→y indicates the attributes of universe X. The resolving problem (X,T,f) is the process of analyzing ...