Nested Structures Study in Dual Hesitant Fuzzy Information Systems
Yanxia Wei, Qinghai Wang · 2021
Granularity structure analysis and granularity information measurement are important tools to study the complicated information system. Based on the dual hesitant fuzzy relation, this paper proposes the dual hesitant fuzzy granular structure, and discusses three kinds of partial-order relations on the granular structure. At the same time, the nesting relationship between partial order relations is studied. On the basis of dual hesitant fuzzy granular structure, dual hesitant fuzzy information entropy is defined and its related properties are verified. A numerical example is used to illustrate the partial-order relation and the information entropy in dual hesitant fuzzy information system.