A first course in fuzzy logic. ([2019])

• Record Type: Book
• Further Information: Note: Hung T. Nguyen, Carol L. Walker, Elbert A. Walker.
• Authors: Nguyen, Hung T, 1944-; Walker, Carol L, 1935-; Walker, E (Elbert), 1930-
• Contents: The Concept of Fuzziness Examples. Mathematical modeling. Some operations on fuzzy sets. Fuzziness as uncertainty. 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. Fuzzy Quantities Fuzzy quantities. Fuzzy numbers. Fuzzy intervals. Logical Aspects of Fuzzy Sets Classical two-valued logic. A three-valued logic. Fuzzy logic. Fuzzy and Lukasiewicz logics. Interval-valued fuzzy logic. Basic Connectives t-norms. Generators of t-norms. Isomorphisms of t-norms. Negations. Nilpotent t-norms and negations. T-conforms. De Morgan systems. Groups and t-norms. Interval-valued fuzzy sets. Type-2 fuzzy sets. Additional Topics on Connectives Fuzzy implications. Averaging operators. Powers of t-norms. Sensitivity of connectives. Copulas and t-norms. 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. Universal Approximation Fuzzy rule bases. Design methodologies. Some mathematical background. Approximation capability. Possibility Theory Probability and uncertainty. Random sets. Possibility measures. Partial Knowledge Motivations. Belief functions and incidence algebras. Monotonicity. Beliefs, densities, and allocations. Belief functions on infinite sets. Mobius transforms of set-functions. Reasoning with belief functions. Decision making using belief functions. Rough sets. Conditional events. Fuzzy Measures Motivation and definitions. Fuzzy measures and lower probabilities. Fuzzy measures in other areas. Conditional fuzzy measures. The Choquet Integral The Lebesgue integral. The Sugeno integral. The Choquet integral. Fuzzy Modeling and Control Motivation for fuzzy control. The methodology of fuzzy control. Optimal fuzzy control. An analysis of fuzzy control techniques.
• Edition: Fourth edition
• Publisher Details: Boca Raton, FL : CRC Press, Taylor & Francis Group
• Publication Date: 2019
• Copyright Date: 2019
• Extent: 1 online resource
• Subjects: 511.3/13; Neural networks (Computer science); Fuzzy logic; MATHEMATICS / General; Electronic books
• Languages: English
• ISBNs: 9780429012600; 0429012608; 9780429012617; 0429012616
• Related ISBNs: 9781138585089; 1138585084
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (EBSCO, viewed December 21, 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.