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Advances in Picture Fuzzy Soft Matrices: Theories and Applications provides an in-depth exploration of the mathematical framework and practical applications of picture fuzzy soft matrices. The book discusses the different types of picture fuzzy matrices, focusing on their properties, operations, and relevance in multi-criteria decision-making (MCDM) problems. It elaborates on various types of picture fuzzy soft matrices, including bi-matrices, cubic matrices, and their internal and external forms, while offering theoretical insights into their determinants, adjoints, and correlation coefficients. The work also highlights the importance of picture fuzzy matrices in solving complex decision-making problems by offering novel techniques for handling uncertainty and vagueness in data. The book is structured to present both foundational theories and real-world applications, making it a valuable resource for researchers, scholars, and practitioners in fuzzy logic, decision analysis, and computational intelligence.
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Advances in Picture Fuzzy Soft Matrices: Theories and Applications provides an in-depth exploration of the mathematical framework and practical applications of picture fuzzy soft matrices. The book discusses the different types of picture fuzzy matrices, focusing on their properties, operations, and relevance in multi-criteria decision-making (MCDM) problems. It elaborates on various types of picture fuzzy soft matrices, including bi-matrices, cubic matrices, and their internal and external forms, while offering theoretical insights into their determinants, adjoints, and correlation coefficients. The work also highlights the importance of picture fuzzy matrices in solving complex decision-making problems by offering novel techniques for handling uncertainty and vagueness in data. The book is structured to present both foundational theories and real-world applications, making it a valuable resource for researchers, scholars, and practitioners in fuzzy logic, decision analysis, and computational intelligence.