On fuzzy interior operators and fuzzy closure operators

In this thesis, first, topological fuzzy interior operators, topological fuzzy closure operators and relations between them are investigated. Later, in the sense Belohlavek, fuzzy interior and fuzzy closure operators are introduced and relationships between them with the systems that are more general from fuzzy topology are presented. In case of K={1}, these operators are named kernel and closure operators by expanding on the complete residuated lattice and basic properties are studied. Also topological fuzzy interior and topological fuzzy closure operators are studied on the complete residuated lattice. Finally, L-continuity degree with the corresponding results are obtained in the systems that kernel and closure operators generated on L^{X}.