Some results on fuzzy metric spaces

Other Title(s)

بعض النتائج للفضاءات المترية الضبابية

Dissertant

al-Budur, Iman Kamil Salim

Thesis advisor

al-Kasasibah, Faysal Muhammad

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2017

English Abstract

In this thesis, we introduce the basic discussion of the concepts for the probabilistic metric spaces, which are the main entrance to the concept of fuzzy metric spaces and some related theorems.

Some of the concepts and theorems associated to the fuzzy metric spaces were discussed.

Some of these concepts and theorems were developed and written by using the fuzzy metric space after they were written using the probabilistic metric spaces.

In addition, some of the results related to the fuzzy metric spaces were ascertained and proved through the study and understanding of the references to this thesis.

The cone fuzzy metric spaces were studied and their concepts were discussed through illustrative examples.

A generalization of fuzzy metric spaces are introduced, which study the probability distance between a finite number of points in space and call it n-fuzzy metric space.

Main Subjects

Mathematics

No. of Pages

61

Table of Contents

• APA
• MLA
• AMA

Language

English

Data Type

Arab Theses

Record ID

BIM-780396