First Course in Fuzzy Logic. (2005)

• Record Type: Book
• Other Names: Nguyen, Hung T
• Contents: THE CONCEPT OF FUZZINESS; Examples; Mathematical modeling; Some operations on fuzzy sets; Fuzziness as uncertainty; Exercises; ; SOME ALGEBRA OF FUZZY SETS; Boolean algebras and lattices; Equivalence relations and partitions; Composing mappings; Isomorphisms and homomorphisms; Alpha-cuts; Images of alpha-level sets; Exercises; ; FUZZY QUANTITIES; Fuzzy quantities; Fuzzy numbers; Fuzzy intervals; Exercises; ; LOGICAL ASPECTS OF FUZZY SETS; Classical two-valued logic; A three-valued logic; Fuzzy logic; Fuzzy and Lukasiewicz logics; Interval-valued fuzzy logic; Canonical forms; Notes on probabilistic logic; Exercises; ; BASIC CONNECTIVES; t-norms; Generators of t-norms; Isomorphisms of t-norms; Negations; Nilpotent t-norms and negations; t-conorms; DeMorgan systems; Groups and t-norms; Interval-valued fuzzy sets; Type- fuzzy sets; Exercises; ; ADDITIONAL TOPICS ON CONNECTIVES; Fuzzy implications; Averaging operators; Powers of t-norms; Sensitivity of connectives; Copulas and t-norms; Exercises; ; FUZZY RELATIONS; Definitions and examples; Binary fuzzy relations; Operations on fuzzy relations; Fuzzy partitions; Fuzzy relations as Chu spaces; Approximate reasoning; Approximate reasoning in expert systems; A simple form of generalized modus ponens; The compositional rule of inference; Exercises; ; UNIVERSAL APPROXIMATION; Fuzzy rule bases; Design methodologies; Some mathematical background; Approximation capability; Exercises; ; POSSIBILITY THEORY; Probability and uncertainty; Random sets; Possibility measures; Exercises; ; PARTIAL KNOWLEDGE; Motivation; Belief functions and incidence algebras; Monotonicity; Beliefs, densities, and allocations; Belief functions on infinite sets; Note on Möbius transforms of set-functions; Reasoning with belief functions; Decision making using belief functions; Rough sets; Conditional events; Exercises; ; FUZZY MEASURES; Motivation and definitions; Fuzzy measures and lower probabilities; Fuzzy measures in other areas; Conditional fuzzy measures; Exercises; ; THE CHOQUET INTEGRAL; The Lebesgue integral; The Sugeno integral; The Choquet integral; Exercises; ; FUZZY MODELING AND CONTROL; Motivation for fuzzy control; The methodology of fuzzy control; Optimal fuzzy control; An analysis of fuzzy control techniques; Exercises; ; Bibliography; Answers to Selected Exercises; Index on>
• Publisher Details: Place of publication not identified : CRC Press
• Publication Date: 2005
• Extent: 1 online resource
• Subjects: 511.313; Neural networks (Computer science); Fuzzy logic; MATHEMATICS / General; Fuzzy logic; Neural networks (Computer science); Electronic books
• Languages: English
• ISBNs: 1322623058; 9781322623054; 9781420057102; 1420057103
• Notes: Note: Print version record.
• 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.