In this thesis, we have investigated the aggregation of fuzzy number intuitionistic information, and developed some aggregation operators, such as, the ordered weighted aggregation operator and the hybrid aggregation operator of FNIFNs. we have define...
In this thesis, we have investigated the aggregation of fuzzy number intuitionistic information, and developed some aggregation operators, such as, the ordered weighted aggregation operator and the hybrid aggregation operator of FNIFNs. we have defined a new judgment matrix called the fuzzy number intuitionistic judgment matrix and studied some of its desirable properties, and then defined the concepts of the consistent fuzzy number intuitionistic judgment matrix, and the score matrix, and accuracy matrix of the fuzzy number intuitionistic judgment matrix, and so on. we have shown that the score matrix and accuracy matrix are the antisymmetric matrix and symmetric matrix respectively, and discussed the relationships among fuzzy number intuitionistic judgment matrix, intuitionistic judgment matrix, and complement judgment matrix. Furthermore, on the basis of the arithmetic aggregation operator and hybrid aggregation operator, we have proposed an approach for solving the group decision-making problems where the decision makers provide their preferences over alternatives in the form of fuzzy number intuitionistic judgment matrices. In the future, the developed aggregation operators of FNIFNs can be applied to the fields of pattern recognition, artificial intelligence, data mining, fuzzy logic, and so on.