M.Sc. Tezi Görüntüleme | |||||||||||||||||||||
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| Summary: Triangular Norms on Product Lattices In this thesis, the following questions on product lattices are studied. These are :2. It has been shown by some examples that any continuous t-norm on [0,1]^n does not have to be a direct product of n continuous t-norms on [0,1]. 4. A definition of an internal direct product of t-norms on complete lattices have been given, a relation between the external and the internal direct produts of t-norms on complete lattices have been studied. 5. It has been shown by some examples that a Pseudo-Archimedean and non-cancallative t-norm on a bounded poset or bounded lattice does not have to be nilpotent elements. 6. A relation between direct decompositions of an infinitely ∨- distributive t-norms on complete lattices L and direct decompositions of the neutral elements of L has been investigated.7. Some examples of t-norms which are not ∨- distributive or infinitely ∨- distributive have been given on some complete lattices. Key Words: Poset, Lattice, Product Lattices, Triangular Norms.
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