Abstract
Interval-valued intuitionistic fuzzy information system is able to be more comprehensively,detailedly and visually depict and characterize the decision-making information than the general information system,so reaseaching its research uncertainty is of great importance.With the help of information granularity,this paper characterized the uncertainty of the interval-valued intuitionistic fuzzy information system.It constructed intersection,union,subtraction and complement four operators among granular structures,introduced three new partial order relations in interval-valued intuitionistic fuzzy information systems and established the relationships among them.It defined an interval-valued intuitionistic fuzzy information granularity and an axiomatic approach to interval-valued intuitionistic fuzzy information granularity in interval-valued intuitionistic fuzzy information systems.Finally,it investigated the properties of interval-valued intuitionistic fuzzy information granularity.
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