Nearness and uniform convergence

Nearness (a fuzzy nearness) is a fuzzy relation that can be used to model various grades of “being close” in a linear space. We study the uniform convergence of a sequence of functions with values in a space equipped with a nearness relation. The uniform convergence for the mappings into a space with a fuzzy nearness is defined and it is shown that a theorem similar to Moore-Osgood theorem for crisp case holds.

• Type: Conference
• Year: 2003
• Where: EUSFLAT
• Authors: Vladimír Janis
• Keywords: EUSFLAT 2003, EUSFLAT 2007, Fuzzy Nearness, Fuzzy Relation, Uniform Convergence