M.Sc. Tezi Görüntüleme

Student: Mehmet Akif İNCE
Supervisor: Assoc. Prof.Dr. Funda KARAÇAL
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: Negations, Infinitely Supremum Distributive Triangular Norms and Pseudo Complements on Complete Lattices
Level: M.Sc.
Acceptance Date: 1/7/2009
Number of Pages: 46
Registration Number: i2037
Summary:

      Negations, Infinitely Supremum Distributive Triangular Norms and Pseudo Complements on Complete Lattices

In this study, some axioms of the definiton of pseudo complement is investigated

      which is on infinitely supremum distributive t-norms. Some t-norms have constructed on some substructures of a complete lattice L. Furthermore, the definition of strong negation is given and it is examined that direct product, internal direct product and the decompositions of strong negations which are on product lattices.

In the first part, the general information about lattices and t-norms is given. In the second part, on the concept of negation and infinitely supremum distributive t-norms are studied, in addition, operations are defined with the t-norms which are formed by the restriction of these functions to some substructure and pseudo complements.

       Key Words: Infinitely supremum distributive t-norm, pseudo complement, strong

negation