Application of soft and fuzzy soft sets to uniform and proximity spaces

In this thesis, soft uniform spaces first were introduced by using the soft set theory and a soft topological space was obtained with the help of these spaces. The properties about soft proximity spaces were examined and their relation with soft uniform spaces was investigated. In order to study on fixed point theory, the concept of an se-uniform space was defined with the aid of soft elements. Then, fixed soft element theorems were obtained in this space. Also, the concept of a fuzzy soft neighborhood system was given and studied its properties. Moreover, a fuzzy soft uniform space in the sense of Lowen was introduced and investigated its relation with fuzzy soft topology and fuzzy soft neighborhood system. Finally, the properties regarding fuzzy soft proximity spaces were examined and their relation with proximity spaces in classical meaning was established.