Multiple Granulation Rough Set Approach to Interval-Valued Intuitionistic Fuzzy Ordered Information Systems

As a further extension of the fuzzy set and intuitive set, interval-valued (IIFS) is more effective tool to deal with uncertain problems. However, classical rough based on equivalence relation, which do not apply IIFS. In this paper, we combine IIFS ordered information system obtain (IIFOIS). On basis, three types multiple granulation models dominance relation are established effectively overcome limitation mentioned above, belongs interdisciplinary subject theory in mathematics pattern recognition. First, for an IIFOIS, put forward (MGRS) model from two completely symmetry positions, optimistic pessimistic, respectively. Furthermore, discuss approximation representation few essential characteristics target concept, besides several significant measures about kinds MGRS discussed. general named generalized (GMGRS) proposed some important properties also investigated. Finally, relationships differences between single discussed carefully by comparing them IIFOIS. order better utilize realistic problems, actual case shows methods IIFOIS given paper.