Ph.D. Tezi Görüntüleme

Student:	Ümit ERTUĞRUL
Supervisor:	Prof. Dr. Funda KARAÇAL
Department:	Matematik
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University Turkey

Title of the Thesis:	CHARACTERIZATION OF UNINORMS ON BOUNDED LATTİCES AND U-PARTİALLY ORDER DERİVED FROM UNINORM
Level:	Ph.D.
Acceptance Date:	27/1/2017
Number of Pages:	69
Registration Number:	Di1165

Summary:

PhD. Thesis

SUMMARY

Karadeniz Technical University

The Graduate School of Natural and Applied Sciences

Mathematics Graduate Program

Supervisor: Prof. Dr. Funda KARAÇAL

2017, 69 Pages

The aim of the present thesis is to characterize uninorms on bounded lattices, present construction methods for uninorms and t-norms (t-conorms), investigate some properties of U-partially order by defining U-partially order and give a generalization of the order.

This study consists of two main chapters. In Chapter 1, some definitions and theorems which are crucial for our study are stated. Chapter 2 consists of two parts each of which contains two sub-sections. In the first part, a characterization of uninorms on bounded lattices is given and construction methods of uninorms, t-norms and t-conorms are presented. In the second part, U-partially order derived from uninorm is defined, some properties of the partially order are investigated and the order is extended to partially order derived from n-uninorm.

Key Words: Uninorm, Bounded lattice, Partially ordered relation