Abstract (EN)
This thesis is arranged in three chapters.In the first chapter, we give some fundamental definitions and theorems which will be used in the later chapters.In the second chapter, we give the concept of fuzzy set and some properties of this sets. Then, we define fuzzy number and examine arithmetical operations of fuzzy numbers and sequences of fuzzy number.In the first section of third chapter, fuzzy topological space and its properties are observed, sequences of fuzzy sets are mentioned. In the second section, we explain fuzzy continuous function by generalizing continiuty. In the last section, we convince compact fuzzy spaces which is constructed by depending on fuzzy topology.
Author
Dr. Murat Karakaş
Institution
Fırat University
Fonksiyonlar Teorisi ve Analiz Bilim Dalı
How to Cite
Murat Karakaş (Master Thesis). Fuzzy topological spaces, 2008, Fırat University, Matematik Bölümü.
Keywords
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