An Introduction to Fuzzy Sets

摘要: Part 1 Fundamentals of fuzzy sets: basic notions and concepts sets - set membership sets, definitions a set, types functions, characteristics relationships between equality inclusion, the representation theorem, extension principles, function determination, generalizations chapter summary, problems, references operations theory their properties, triangular norms, aggregation on sensitivity operators, negations, comparison information-based characterization -entropy measures fuzziness, energy specificity frames cognition, information encoding decoding using linguistic landmarks, mechanisms for pointwise data, functions terms codebook, general possibility-necessity decoding, distance based internal, representation, relations calculus -relations relations, compositions projections cylindric extensions binary some classes fuzzy-relational equations, estimation inverse problem in relational solving equations with sup-t composition, solutions to dual adjoint generaliations approximate numbers defining numbers, interval analysis computing operations, formulas LR accumulation fuzziness computation modelling models beyond numerical computations, main phases system modelling, fundamental design objectives topology models, compatibility modules, verification validation references. 3 Problem methodology -analysis design, controllers control, mathematical programming optimization, case studies traffic intersection distributed elevator group induction motor communication network planning, neurocomputation fault diagnosis dynamic systems, multicommodity transportation planning railways.