04207nam 22006735 450 991073147360332120251009101019.0981-9931-69-X10.1007/978-981-99-3169-9(CKB)27113548000041(MiAaPQ)EBC30603278(Au-PeEL)EBL30603278(DE-He213)978-981-99-3169-9(PPN)272273589(EXLCZ)992711354800004120230619d2023 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDeriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations Theories and Methodologies /by Yejun Xu1st ed. 2023.Singapore :Springer Nature Singapore :Imprint: Springer,2023.1 online resource (180 pages)9789819931682 Chapter 1. Introduction -- Chapter 2. Normalizing Rank Aggregation-based Method -- Chapter 3. Eigenvector Method -- Chapter 4. Logarithmic Least Squares Method -- Chapter 5. A Chi-Square Method -- Chapter 6. A Least Deviation Method -- Chapter 7. Priorities from Fuzzy Best Worst Method Matrix -- Chapter 8. Weighted Least Square Method -- Chapter 9. Priorities from Incomplete Hesitant Fuzzy Reciprocal Preference Relations.As we know, multiplicative preference relations (or called pairwise comparisons in AHP) were proposed by Dr. Thomas L Saaty. One important work is to derive its priority from pairwise comparisons. It has been proposed many methods to derive priority for multiplicative preference relation. On the basis of fuzzy sets, the fuzzy reciprocal preference relation is proposed and is extended to the incomplete contexts. However, how to derive the priorities from incomplete fuzzy reciprocal preference relations is an interesting and challenging work. This book systematically presents the theories and methodologies for deriving priorities from incomplete fuzzy reciprocal preference relations. This book can be divided into three parts. In the first part, this book introduces the basic concepts of fuzzy reciprocal preference relations and incomplete fuzzy reciprocal preference relations. Then, two consistencies of complete fuzzy reciprocal preference relations are introduced: additive consistency and multiplicative consistency. Then, the relationships between the fuzzy reciprocal elements and the weights are showed. Afterward, in the second part, different priority methods are presented. The inconsistency repairing procedures are also proposed. Last, the priority method for incomplete hesitant fuzzy reciprocal preference relations is presented. This book can be used as a reference for researchers in the areas of management science, information science, systems engineering, operations research, and other relevant fields. It can also be employed as a textbook for upper-level undergraduate students and graduate students.Artificial intelligenceComputer scienceInformation modelingMachine theoryAlgorithmsArtificial IntelligenceModels of ComputationInformation ModelFormal Languages and Automata TheoryDesign and Analysis of AlgorithmsComputer Science Logic and Foundations of ProgrammingArtificial intelligence.Computer science.Information modeling.Machine theory.Algorithms.Artificial Intelligence.Models of Computation.Information Model.Formal Languages and Automata Theory.Design and Analysis of Algorithms.Computer Science Logic and Foundations of Programming.511.3223Xu Yejun1368807MiAaPQMiAaPQMiAaPQBOOK9910731473603321Deriving Priorities from Incomplete Fuzzy Reciprocal Preference Relations3394829UNINA