Fuzzy Mathematics and Nonstandard Analysis Application to the Theory of Relativity
الموضوعات : Transactions on Fuzzy Sets and Systems
John N Mordeson
1
(Department of Mathematics, Creighton University, Omaha, USA.)
Sunil Mathew
2
(Department of Mathematics, National Institute of Technology Calicut, Calicut, India.)
الکلمات المفتاحية: fuzzy logic, Nonstandard analysis, Theory of relativity,
ملخص المقالة :
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.
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