Numerical Clouds-A Treatment for Indiscernibility


Roman Adillon;Lambert Jorba

Key Words

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)

Page #

274 - 278

Content Language


English Abstract

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.

Topic Category 基礎與應用科學 > 資訊科學