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.
1. Introduction to picture fuzzy sets and operators
2. 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
Dr. Chiranjibe Jana is a researcher in the Department of Applied Mathematics with Oceanology and Computer Programming at Vidyasagar University, India. Dr. Janas research interests include fuzzy logic, fuzzy set, aggregation operators, BCK-algebra, topological space, fuzzy number, soft set, and congruence relation. He has published on a wide range of these research topics in journals such as International Journal of Intelligent Systems, Computational and Applied Mathematics, Expert Systems, Granular Computing, IEEE Access, and Journal of Ambient Intelligence and Humanized Computing. Dr. Madhumangal Pal is a Full Professor in the Department of Applied Mathematics with Oceanology and Computer Programming at Vidyasagar University, India. Dr. Pals research interests include fuzzy logic, fuzzy number, fuzzy set operations, fuzzy classification, fuzzy subalgebra, aggregation operators, BCK-algebra, and congruence relation. He is the author of A Study on Fuzzy Graphs and Their Applications, Lambert Academic Publishing; Convergence and Inverse of Intuitionistic Fuzzy Matrices, Lambert Academic Publishing; An Optimal Algorithm to Find Minimum K-hop Dominating Set, Lambert Academic Publishing; and Modern Trends in Fuzzy Graph Theory, Springer. Valentina E. Balas is a Professor in the Department of Automatics and Applied Software at the Faculty of Engineering, Aurel Vlaicu University of Arad, Romania. She holds a PhD Cum Laude, in Applied Electronics and Telecommunications from Polytechnic University of Timisoara. Dr. Balas is the author of more than 350 research papers. Her research interests are in intelligent systems, fuzzy control, soft computing, smart sensors, information fusion, modeling, and simulation. She is a member of the editorial boards of several national and international journals and evaluator expert for national, international projects, and PhD thesis. Dr. Balas is the Director of Intelligent Systems Research Centre and Director of the Department of International Relations, Programs, and Projects in Aurel Vlaicu University of Arad. She is the recipient of the "Tudor Tanasescu" Prize from the Romanian Academy for contributions in the field of soft computing methods (2019). Dr. Ronald R. Yager is a researcher in computational intelligence and decision making under uncertainty and fuzzy logic. He is currently Director of the Machine Intelligence Institute and Professor of Information Systems at Iona College. He has been an active IEEE Fellow since 1997 for his contributions to the development of the theory of fuzzy logic. He is the Editor and Chief of the International Journal of Intelligent Systems, which serves as a forum for individuals interested in tapping into the vast theories based on intelligent systems construction. He has also been invited to serve on the Editorial Boards and Executive Advisory Boards for a number of International Journals, including IEEE Intelligent Systems, IEEE Transactions on Fuzzy Systems, and the Fuzzy Sets and Systems Journal.
