Fuzzy topological vector spaces
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Abstract (EN)
vFUZZY TOPOLOGICAL VECTOR SPACES(M. Sc. Thesis)Mehmet Akif ERCANGAZ UNIVERSITYINSTITUTE OF SCIENCE AND TECHNOLOGYOctober 2007ABSTRACTThis thesis is a compilation of the theory of fuzzy topological vector spaceswhich some mathematicians have studied on. There are three parts in thisthesis. The first part is the introduction. In the second part, the definitions offuzzy set, fuzzy point, fuzzy topology, fuzzy open and closed set, fuzzyneighborhoods, fuzzy continuity, fuzzy quotient and product space have beengiven to help to understand the next pards. Fuzzy subspace; convex, balanced,absorbing fuzzy sets, fuzzy topological vector spaces and fuzzy linear topologieshave taken part in the last part. Some propositions related to these subject havebeen proved and the relationships between them have been studied.Science Code : 403.04.01Key Words : Fuzzy set, Fuzzy topology, Fuzzy continuity, Convex,Balanced, Absorbing fuzzy sets, Fuzzy neighborhouds,Fuzzy topological vector spacesPage Number : 45Adviser : Prof. Dr. Cemil YILDIZ
Author
Mehmet Akif Ercan
How to Cite
Mehmet Akif Ercan (Master Thesis). Fuzzy topological vector spaces, 2007, Gazi University.
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