Three-way decision models based on interval-valued hesitant fuzzy multi-granularity rough set
In this paper,two three-way decision models based on interval-valued hesitant fuzzy multi-granularity rough set are proposed for the interval-valued hesitant fuzzy information system.First,the optimistic and pessimistic interval-valued hesitant fuzzy multi-granularity rough set models are determined by means of multi-granularity rough set theory.Then,the concept of interval valued hesitant fuzzy continuous cross-entropy is introduced to calculate the conditional probabilities under different cases through the technique for order preference by similarity to an ideal solution(TOPSIS).Based on this,interval-valued hesitant fuzzy decision-theoretic rough sets and relevant three-way decision rules are proposed.Finally,it is illustrated that these models adopt different attitudes and decision-making schemes for target evaluation through an example,and the effectiveness of the algorithm is verified.
three-way decisioninterval-valued hesitant fuzzy multi-granularity rough setcontinuous cross-entropydecision-theoretic rough set