Abstract:

By analyzing complexities of realistic data objects and the hesitate fuzziness in decision maker’s thinking, a hesitant intuitionistic fuzzy sets decisionmaking method based on triangular fuzzy number is proposed. Firstly, triangular fuzzy number hesitant intuitionistic fuzzy sets are defined. Also, some basic operation rules and aggregation operators of triangular hesitant intuitionistic fuzzy elements are constructed under formal proofs. Furthermore, the score function and the accuracy function of triangular hesitant intuitionistic fuzzy elements are defined to realize the data comparison between objects of triangular hesitant intuitionistic fuzzy number. Aiming at the uncertainty weight solving problem of multi-attribute decision making based on triangular hesitant intuitionistic fuzzy numbers, an optimal weight solving model based on the score function and maximum entropy (ME) principle is innovatively proposed, and a genetic algorithm (GA) model is constructed to get the optimal solution. Finally, a multi-attribute intel ligent decisionmaking method based on triangular hesitant intuitionistic fuzzy number is presented. The example demonstrates the feasibility and effectiveness of the proposed method.