| In this paper, interval-valued intuitionistic fuzzy ordered information system is considered as the research object, the fuzzy set theory and rough set theory as the main tools. Study on interval-valued intuitionistic fuzzy ordered information system knowledge reduction based on dominance matrix and knowledge reduction based on evidence theory.· Interval-valued intuitionistic fuzzy numbers are introduced and its related properties, define the dominance relation and the degree of dominance of interval-valued intuitionistic fuzzy ordered information system and discussed their properties. Further use of dominance for all objects in the sorting interval-valued intuitionistic ordered fuzzy information system is also given based on the advantage of knowledge reduction of the matrix.· Define the approximation of optimistic multi-granulation and pessimistic multi-granulation based on the dominance relation in the interval-valued intuitionistic fuzzy ordered information system. Give the multi-granulation rough sets based on dominance relation, further introduce the definition of interval-valued intuitionistic fuzzy ordered information system multi-granulation rough set upper and lower approximate distribution reduction and specific algorithm of upper and lower approximate distribution reduction.· The introduction of evidence theory based on dominance relation in interval-valued in-tuitionistic fuzzy information systems, discussed specific algorithm based on evidence theory knowledge reduction in interval-valued intuitionistic ordered fuzzy information system, and use specific examples to illustrate the effectiveness of the method. |
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