M.Sc. Tezi Görüntüleme

Student: Gül Deniz ÇAYLI
Supervisor: Prof. Dr. Funda KARAÇAL
Department: Matematik
Institution: Graduate School of Natural and Applied Sciences
University: Karadeniz Technical University Turkey
Title of the Thesis: Uninorms on Bounded Lattices
Level: M.Sc.
Acceptance Date: 26/12/2013
Number of Pages: 66
Registration Number: i2716
Summary:

      This thesis consists of two chapters. In the first chapter, it is made a general study of literature and is mentioned some main results obtained about uninorms on [0,1].

The second chapter consists of four sections. In the first section, some new properties of uninorms on bounded lattices is investigated and examples to that kind of uninorms is given. In the second section, a t-norm and a t-conorm on a bounded lattice L are obtained by means of a given uninorm with e∈L neutral element on L when all x∈L is comparable e. In the third section, two methods of constructing a uninorm with given neutral element e∈L on a bounded lattice L is introduced and as a by product, the smallest and the greatest uninorm with neutral element e∈L{0,1} on L are obtained. In the last section, it can be derived from the approach proposed by Deschrijver [10] to aggregation on L([0,1]).

      

      Key Words: Uninorm, local internal uninorm, t-norm, t-conorm.