Fundamentals of error theory : applications in decision making /: applications in decision making. (2018)

• Record Type: Book
• Further Information: Note: Kaizhong Guo and Shiyong Liu.
• Authors: Guo, Kaizhong; Liu, Shiyong
• Contents: Intro; Preface I; Preface II; Acknowledgements; Contents; Acronyms; 1 Brief Introduction of Error Theory; 1.1 Research Background of Error Theory; 1.2 Research Objects and Contents of Error Theory; 1.3 Research Method and Objective of Error Theory; 1.4 Structure and Theoretic Framework of Error Theory; 1.5 Concept of Error; 1.6 Methods for Eliminating Errors; 1.7 Avoidance of Errors; 1.8 Issues Demanding Continual Study in Error Theory; 1.9 The Future of Error Theory; 2 Error Set; 2.1 Concepts of Error Sets; 2.1.1 Error Sets; 2.1.2 Operations of Error Sets and Their Laws 2.2 Transformation of Error Sets2.2.1 Definition of Transformation of Error Sets; 2.2.2 Transformation Operations of Error Sets; 2.2.3 Types and Operation Rules of Transformation; 2.2.4 Transformation and Elimination of Errors; 2.3 Classic Error Set; 2.3.1 Concepts of Classic Error Set; 2.3.2 Categories of Classic Error Set; 2.3.3 Operations of Classic Error Set and Their Laws; 2.4 Fuzzy Error Set; 2.4.1 Concepts of Fuzzy Error Set; 2.4.2 Operations of Fuzzy Error Set and Their Laws; 2.4.3 Error Set with Critical Points; 2.5 Multivariate Error Set; 2.5.1 Concepts; 2.5.2 Binary Error Set 2.5.3 Types of Transformation on Binary Error Set and Their Laws of Operations2.6 Error Matrix and Its Operation Rules; 2.6.1 Error Matrix; 2.6.2 Operations of Error Matrices; 2.7 Error Matrix Function; 2.7.1 Concepts of Error Matrix Equation; 2.7.2 Solving Error Matrix Equation; 2.8 Error Matrix Set Equation; 2.9 Application of Error Matrix Equation; 2.9.1 Mathematical Formulations of Traffic Example; 3 Error Function; 3.1 Concept of Error Function; 3.1.1 Definition for Error Function; 3.1.2 Categorization of Error Functions; 3.2 Format of Error Functions; 3.2.1 Definitions of Error Function 3.2.2 Vector Type Error Function3.3 Error Function and Judging Rules for Errors; 3.3.1 Impact of Judging Rules on Error Function; 3.3.2 Relationship Between Different Error Values Under Different Judging Rules; 4 Identification of Error; 4.1 Necessity of Studying the Rules for Judging Errors; 4.1.1 The Objective Existence of Rules for Judging Errors; 4.1.2 The Theoretical Foundations of Studying Rules for Judging Errors; 4.2 Characteristics of Rules for Judging Errors; 4.2.1 The Changeability of Rules for Judging Errors; 4.2.2 The Hierarchy of Rules for Judging Errors 4.2.3 Completeness of Rules for Judging Errors4.2.4 Scientificity of Rules for Judging Errors; 4.2.5 Fuzziness of Rules for Judging Errors; 4.2.6 Multi-objective Features of Rules for Judging Errors; 4.2.7 Non-contradiction of Rules for Judging Errors; 4.2.8 Unchangeability of Rules for Judging Errors Under Certain Conditions; 4.2.9 Parallelism of Rules for Judging Errors; 4.2.10 Weights Assigned to Rules for Judging Errors; 4.3 Methods of Building Rules for Judging Errors; 4.3.1 Building Principles for Rules of Judging Errors; 4.3.2 Building Process for Rules of Judging Errors
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 006.3; Computational intelligence; Systems engineering; Decision making; COMPUTERS / General; Computational intelligence; Decision making; Systems engineering; Electronic books
• Languages: English
• ISBNs: 9783030027476; 3030027473
• Related ISBNs: 9783030027469; 3030027465
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed December 14, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.