Fuzzy topological spaces

Other Title(s)

الفضاءات التبولوجية الضبابية

Dissertant

al-Qudah, Islam Abd Allah Muhammad

Thesis advisor

al-Banawi, Kamal Ata Allah Salih
Jaradat, Umar Khalid

Comitee Members

al-Kasasibah, Faysal Muhammad
al-Zubi, Kamal Muhammad
Talafihah, Adib Qasim

University

Mutah University

Faculty

Faculty of Science

Department

Department of Mathematics and Statistics

University Country

Jordan

Degree

Master

Degree Date

2017

English Abstract

Fuzzy topological space is a relatively independent concept in modern topology, and the axioms of the ordinary topology are acting on fuzzy sets.

This work generates definitions, theorems and examples of common and non common properties with ordinary topological spaces.

In this thesis the topological properties of fuzzy topological spaces were investigated and compared with ordinary topological spaces.

Separation and countability axioms in fuzzy topological spaces are studied with particular examples.

Also connected and compact topological spaces are extended in the fuzzy case

Main Subjects

Mathematics

Topics

No. of Pages

38

Table of Contents

Table of contents.

Abstract.

Abstract in Arabic.

Chapter One : Introduction and preliminaries.

Chapter Two : Fuzzy topological spaces.

Chapter Three : .Countability and separation axioms

Chapter Four : Connectedness and compactness.

References.

American Psychological Association (APA)

al-Qudah, Islam Abd Allah Muhammad. (2017). Fuzzy topological spaces. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749184

Modern Language Association (MLA)

al-Qudah, Islam Abd Allah Muhammad. Fuzzy topological spaces. (Master's theses Theses and Dissertations Master). Mutah University. (2017).
https://search.emarefa.net/detail/BIM-749184

American Medical Association (AMA)

al-Qudah, Islam Abd Allah Muhammad. (2017). Fuzzy topological spaces. (Master's theses Theses and Dissertations Master). Mutah University, Jordan
https://search.emarefa.net/detail/BIM-749184

Language

English

Data Type

Arab Theses

Record ID

BIM-749184