Fuzzy Mathematics and Nonstandard Analysis Application to the Theory of Relativity

Abstract

In this paper, we extend some results of nonstandard analysis to include concepts from fuzzy mathematics. Then we apply our results to issues from special and general relativity and the theory of light-clocks. The extension includes concepts of fuzzy numbers, continuity, and differentiability. Our goal is to provide a new research area in fuzzy mathematics.

Keywords

• fuzzy logic
• nonstandard analysis
• theory of relativity