Introduction: Grip sets and fuzzy sets, properties of x-cuts, Representation of Fuzzy sets.
Operations on Fuzzy sets: Types of operations, Fuzzy complements, intersections and
unions.
Fuzzy Arithmetic: Grip versus Fuzzy Relations, binary fuzzy relations, Fuzzy Equivalence.
Compatibility and ordering relations, Fuzzy Morphisms, Fuzzy relation Equations and
Approximate solutions.
Fuzzy Logic: Multi-valued Logics, Fuzzy propositions, Fuzzy Quantifier, Linguistic Hedges.
Fuzzy Systems: Controllers: An overview and example, Fuzzy dynamic systems, Pattern
Recognition, Fuzzy data bases and information, Retrieval Systems.