C++ Neural Networks and Fuzzy Logic: Preface

Fuzzy Partial Order

One last definition is that of a fuzzy partial order. A fuzzy relation that is reflexive, antisymmetric, and

transitive is a fuzzy partial order. It differs from a similarity relation by requiring antisymmetry instead of

symmetry. In the context of crisp sets, an equivalence relation that helps to generate equivalence classes is

also a reflexive, symmetric, and transitive relation. But those equivalence classes are disjoint, unlike similarity

classes with fuzzy relations. With crisp sets, you can define a partial order, and it serves as a basis for making

comparison of elements in the domain with one another.

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C++ Neural Networks and Fuzzy Logic:Preface

Fuzzy Partial Order

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