Interval valued intuitionistic fuzzy sets
Fuzzy Sets and Systems
Vague sets are intuitionistic fuzzy sets
Fuzzy Sets and Systems
A note on fuzzy information measures
Pattern Recognition Letters
Intuitionistic fuzzy information - Applications to pattern recognition
Pattern Recognition Letters
Expert Systems with Applications: An International Journal
A note on information entropy measures for vague sets and its applications
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Fault diagnosis of turbine based on fuzzy cross entropy of vague sets
Expert Systems with Applications: An International Journal
Multicriteria Fuzzy Decision-Making Method Based on the Intuitionistic Fuzzy Cross-Entropy
IHMSC '09 Proceedings of the 2009 International Conference on Intelligent Human-Machine Systems and Cybernetics - Volume 01
Divergence measures based on the Shannon entropy
IEEE Transactions on Information Theory
Hesitant fuzzy prioritized operators and their application to multiple attribute decision making
Knowledge-Based Systems
Expert Systems with Applications: An International Journal
Environmental Modelling & Software
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Hi-index | 12.06 |
A fuzzy cross entropy of the interval-valued intuitionistic fuzzy sets (IVIFSs) (so-called IVIFS cross entropy) is proposed by analogy with the intuitionistic fuzzy cross entropy. In its application to decision-making problems, its optimal decision-making method based on the weights of alternatives is established in which criterion values for alternatives are IVIFSs and the criterion weights are known information. We utilize the interval-valued intuitionistic fuzzy weighted aggregation operators to aggregate the interval-valued intuitionistic fuzzy information corresponding to each alternative, and then with the ideal and anti-ideal information measures of IVIFS cross entropy, an objective function is constructed to derive the optimal evaluation for the weight of each alternative. The ranking of alternatives and the best one can be determined directly on the basis of the weights of alternatives. Finally, two illustrative examples demonstrate the efficiency of the proposed decision-making method.