This book is an in-depth study of the application of Linguistic Z numbers in various domains. It is divided into 18 chapters, each focusing on different aspects and applications of Linguistic Z numbers. The first chapter introduces the concept of a Linguistic Z number fuzzy probabilistic rough set and their corresponding three-way decisions. The second chapter discusses the TOPSIS-based multi-attribute group decision-making (MAGDM) under Linguistic Z number information. The third chapter presents a new approach of multi-criteria group decision-making (MCGDM): MARCOS-based alternatives measurement with ranking under Linguistic Z number information and their application in the selection of logistics distribution cold chain center. The fourth chapter focuses on the Linguistic Z number environment-based site selection of medical logistic centers with the TODIM-VIKOR approach. The fifth chapter explores MCGDM based on TODIM-PROMETHEE II under Linguistic Z number environment and their application in site selection of emergency shelters. The sixth chapter introduces a novel approach of extended ORESTE-based Linguistic Z number MAGDM and their applications in the ability of regional energy assessment. The seventh chapter discusses MCGDM based on MULTIMOORA with Linguistic Z number and their application in software selection. The eighth chapter presents multi-criteria group decision-making using the LogTODIM-TOPSIS approach in a Linguistic Z number environment for selecting auto parts materials in the technology of automobiles. The ninth chapter introduces a Linguistic Z number CoCoSo approach for multi-criteria group decision-making and application to the diagnosis of sepsis. The tenth chapter discusses The ExpTODIM-VIKOR approach under a Linguistic Z number environment and its applications to solve multi-criteria group decision-making problems. This book provides a deep understanding of Linguistic Z numbers and their applications in decision-making, granular computing, and social networks. It is a valuable resource for researchers and practitioners in these fields.

Autorentext

Prof. Tofigh Allahviranloo is a professor of applied mathematics at Istinye University in Istanbul, Turkey. An accomplished mathematician and computer scientist, Prof. Allahviranloo is sincerely dedicated to multi- and interdisciplinary research efforts. His expertise lies primarily in fundamental research in applied fuzzy mathematics, with a special focus on dynamical systems and pioneering applications in applied biological sciences. As of 2024, Prof. Allahviranloo has made significant scientific contributions, including authoring over 14 international books in English and 10 books in Farsi, as well as about 450 publications with renowned publishers such as Elsevier, Springer, Wiley, and Taylor & Francis. He is the main editor of the book series 'Uncertainty, Computational Techniques and Decision Intelligence' published by ELSEVIER. In addition to his extensive writing activities, Prof. Allahviranloo plays an important role in the academic community as an executive editor-in-chief, associate editor, and editorial board member of several prestigious journals.

Dr Sovan Samanta has been an assistant professor in the Department of Mathematics at Tamralipta Mahavidyalaya, affiliated to Vidyasagar University, since March 2017. He is also appointed as a visiting professor at Research Center of Performance and Productivity Analysis, Istinye University, Istanbul, Turkiye, since March 2024. Also, he is a visiting research professor in the University of the Faroe Islands since March 2024. Before that, he worked as an assistant professor in the Department of Basic Sciences at the Indian Institute of Information Technology, Nagpur. He holds a Ph.D. from Vidyasagar University, India, and a postdoc from Hanyang University, South Korea. He has published over 90 papers in international journals, including 68 in SCIE/SCI journals. He has also authored and edited several books and book chapters with Springer and IGI Global.