Picture Fuzzy Logic and Its Applications in Decision Making Problems provides methodological frameworks and the latest empirical research findings in the field of picture fuzzy operators and their applications in scientific research and real-world engineering problems. In this book, picture fuzzy sets are investigated, and different types of operators are defined to solve a number of important decision-making and optimization problems. The hybrid operator on picture fuzzy set based on the combination of picture fuzzy weighted averaging operators and picture fuzzy weighted geometric operators is developed and named Hybrid Picture Fuzzy Weighted Averaging Geometric (H-PFWAG) operator. In addition, another operator is developed for interval-valued picture fuzzy environment, which is named Hybrid Interval-Valued Picture Fuzzy Weighted Averaging Geometric (H-IVPFWAG) operator. These two operators are then demonstrated as solutions to Multiple-Attribute Decision-Making (MADM) problems. The picture fuzzy soft weighted aggregation operators (averaging and geometric) are defined, and these are applied to develop a multi-criteria group decision making system.
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Table of Contents
1. Introduction to picture fuzzy sets and operators2. Some picture fuzzy hybrid operators and its application in decision-making process
3. Picture fuzzy soft aggregation operators and its application in decision-making process
4. Picture fuzzy Dombi operators and its application in decision-making process
5. Picture fuzzy Dombi prioritized operators and its application in decision-making process
6. Picture fuzzy Power Dombi operators and its application in decision-making process
7. M-polar picture fuzzy Dombi aggregation operators and its application in decision-making process
8. Interval-valued uncertain linguistic picture fuzzy aggregation operators and its application in decision-making process
9. Complex picture fuzzy aggregation operators and its application in decision-making process
10. Picture fuzzy MABAC approach in decision-making process
11. Picture fuzzy linear programming problem
12. Picture fuzzy multiobjective linear programming problem