Ph.D. Tezi Görüntüleme

Student: Ümit DENİZ
Supervisor: Assit.Prof.Dr. Sultan YAMAK
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University, Turkey
Title of the Thesis: Fuzzy Module Homomorphisms
Level: Ph.D.
Acceptance Date: 6/2/2008
Number of Pages: 73
Registration Number: Di622
Summary:

      The aim of this thesis is to extend the definition of module homomorphism in algebraic structures to fuzzy algebraic structures and to carry some definitions and theorems existing for modules to TL-modules. The homomorphism theorems for modules are expressed for fuzzy modules. Moreover, it is obtained a fuzzy module homomorphism

from each module homomorphism and so it is seen that fuzzy algebraic structures are an extension of algebraic structures.

      This thesis consists of two chapters. The first chapter contains preliminaries, some important definitions about researches done in this field. The second chapter, we establish the original studies of thesis.

      Key Words: t-norm, TL equation relation, TL-congruence relation, TL-module

homomorphism, TL-submodule, TL-relation, TL-function.