Picture Fuzzy Logic and Its Applications in Decision Making Problems

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.

• Provides in-depth explanations of picture fuzzy logic and its application to computational modeling problems
• Helps readers understand the difference between various fuzzy logic methods
• Provides concepts used to develop and solve problems within the picture fuzzy environment

Dr. Chiranjibe Jana is a researcher in the Department of Applied Mathematics with Oceanology and Computer Programming at Vidyasagar University, India. Dr. Jana’s 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. Pal’s 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 Emilia Balas is Full Professor in the Department of Automatics and Applied Software, Faculty of Engineering, at Aurel Vlaicu University of Arad, Romania. She holds a PhD in Applied Electronics and Telecommunications from the Polytechnic University of Timisoara. Her research spans intelligent systems, computational intelligence, applied informatics, and engineering applications. Dr. Balas serves as Editor-in-Chief of International Journal of Advanced Intelligence Paradigms and International Journal of Computational Systems Engineering and is a member of the editorial boards of several international journals. She is actively involved in the evaluation of national and international research projects and doctoral theses and contributes to scholarly initiatives that support the advancement of intelligent and computational systems research.

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.