Numerical Clouds-A Treatment for Indiscernibility
Roman Adillon；Lambert Jorba
Indiscernibility ； interval analysis ； numerical clouds ； numerical vagueness
International Journal of Fuzzy Systems
|Volume or Term/Year and Month of Publication||
15卷3期（2013 / 09 / 01）
274 - 278
The need to process numerical information has led to the development of interval analysis and fuzzy numbers in an effort to reflect reality more accurately. Exact numbers are rare and we propose a new method to process this numerical information from the point of view of indiscernibility. Each numerical value comprises a set of points, which cannot be distinguished from the numerical value itself. This set of points can be thought of as a cloud around a center point. This has led us to define in this paper, the concept of numerical cloud. Numerical clouds are not intended as a substitute for fuzzy numbers or interval calculations. Numerical clouds provide a quality control of calculations, and can also be used as a solution to problems involving truncation.