Attribute Reduction of Hesitant Fuzzy Ordered Decision Table Based on Dominance Relation

Attribute reduction is one of the most important areas of research in rough sets. This paper mainly discusses the fuzzy approximate distribution reduction problem of hesitant fuzzy decision tables from the perspective of dominant fuzzy rough sets. Firstly, the triangular fuzzy number and the dominant relationship are used to calculate the assignment dominant relationship between the objects in the decision table; Secondly, based fuzzy lower approximate of the upward and downward, the fuzzy lower approximate distribution reduction is proposed in hesitant fuzzy ordered decision table. Finally, with introducing the significance and relative significance of condition attributes, a heuristic algorithm for computing fuzzy approximate distribution reduction is formed.