Lian S. Principles of Imprecise-Information Processing: A New Theoretical and Technological System

Singapore: Springer, 2016. - 649 p.The book showcases cutting-edge concepts and methods, and presents the principle of imprecise-information processing. It also proposes a new theory and technology for imprecise-information processing that differs from fuzzy technology, thus providing a platform for related applications and laying the theoretical basis for further research.
Imprecise-information processing – a type of processing based on flexible linguistic values and quantifiable rigid linguistic values – is an important component of intelligence science and technology. This book offers an easy-to-understand overview of the basic principles and methods of imprecise-information processing, allowing readers to develop related applications or pursue further research.Overview of Imprecise-Information ProcessingFlexible Concepts and Flexible Linguistic Values and Their Mathematical Models
Multidimensional Flexible Concepts and Flexible Linguistic Values and Their Mathematical Models
Modeling of Flexible ConceptsFlexible Sets and Operations on Flexible Sets
Flexible Linguistic Values and Operations on Flexible Linguistic Values
Superposition, Quantification, Conversion, and Generalization of Flexible Linguistic Values
Relatively Opposite Flexible Linguistic Values and Relatively Opposite Flexible Sets
Correspondence Between Flexible Sets, and Flexible Linguistic Functions
Flexible Numbers and Flexible FunctionsTruth-Degreed Logic and Corresponding Inference
Flexible-Linguistic-Truth-Valued Logic and Corresponding InferenceFlexible Linguistic Rules and Their Numerical Model
Adjoint Functions of a Flexible Linguistic Rule
Reasoning and Computation with Flexible Linguistic Rules
Approximate Evaluation of Flexible Linguistic Functions
Approximate Reasoning and Computation Based on the Approximate Evaluation Principle of Flexible Linguistic FunctionsImprecise-Problem Solving, and Anthropomorphic Computer Application Systems
Imprecise-Knowledge DiscoverySeveral Measures of Sets and Flexible SetsQuantifiable Rigid Linguistic Values and Related Theories
Methodology of Imprecise-Information Processing and Some Other Application ProblemsProbabilities of Random Flexible Events
Degrees of Believability of Flexible Propositions and Reasoning with Believability-Degrees
Some Discussions About Possibly-Type Modal Propositions and RulesSeveral Further Research Directions and Topics