
doi: 10.3233/ifs-151851
In this paper, a single-granulation dual hesitant fuzzy rough set model based on dual hesitant fuzzy tolerance relations is first introduced. By the combination of multi-granulation rough sets and the single-granulation dual hesitant fuzzy rough sets, we then develop a new multi-granulation rough set model, called a multi-granulation dual hesitant fuzzy rough set. In the multi-granulation framework, two types of multi-granulation dual hesitant fuzzy rough sets are proposed, which are named the optimistic multi-granulation dual hesitant fuzzy rough sets and pessimistic multi-granulation dual hesitant fuzzy rough sets. Finally, the relationships among the single-granulation dual hesitant fuzzy rough sets, optimistic multi-granulation dual hesitant fuzzy rough sets and pessimistic multi-granulation dual hesitant fuzzy rough sets are investigated.
single-granulation dual hesitant fuzzy rough set, dual hesitant fuzzy tolerance relation, Theory of fuzzy sets, etc., Reasoning under uncertainty in the context of artificial intelligence, multi-granulation dual hesitant fuzzy rough set
single-granulation dual hesitant fuzzy rough set, dual hesitant fuzzy tolerance relation, Theory of fuzzy sets, etc., Reasoning under uncertainty in the context of artificial intelligence, multi-granulation dual hesitant fuzzy rough set
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