A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. A fuzzy number is thus a special case of a convex, normalized fuzzy set of the real line. Just like fuzzy logic is an extension of Boolean logic (which uses absolute truth and falsehood only, and nothing in between), fuzzy numbers are an extension of real numbers. Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc. The arithmetic calculations on fuzzy numbers are implemented using fuzzy arithmetic operations, which can be done by two diffe
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| - Número difuso (es)
- Fuzzy number (en)
- Нечёткое число (ru)
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| - Un número difuso es una extensión de un número regular en el sentido que no se refiere a un único valor sino a un conjunto de posibles valores, que varían con un peso entre 0 y 1, llamado . Un número difuso es así un caso especial de conjunto difuso convexo. Así como la lógica difusa es una extensión de la lógica booleana (que sólo utiliza valores 0 y 1, exclusivamente), los números difusos son una extensión de los números reales. Los cálculos con números difusos permiten la incorporación de incertidumbre en parámetros, propiedades, geometría, condiciones iniciales, etc. (es)
- Нечёткое число — абстрактное понятие, появившееся в рамках нечёткой арифметики и представляющее собой , функция принадлежности которой является выпуклой и унимодальной. В общем случае нечёткое число является частным случаем . Аппарат нечётких чисел был введён для оперирования неопределёнными или неточными величинами в практических задачах. (ru)
- A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. A fuzzy number is thus a special case of a convex, normalized fuzzy set of the real line. Just like fuzzy logic is an extension of Boolean logic (which uses absolute truth and falsehood only, and nothing in between), fuzzy numbers are an extension of real numbers. Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc. The arithmetic calculations on fuzzy numbers are implemented using fuzzy arithmetic operations, which can be done by two diffe (en)
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| - A fuzzy number is a generalization of a regular, real number in the sense that it does not refer to one single value but rather to a connected set of possible values, where each possible value has its own weight between 0 and 1. This weight is called the membership function. A fuzzy number is thus a special case of a convex, normalized fuzzy set of the real line. Just like fuzzy logic is an extension of Boolean logic (which uses absolute truth and falsehood only, and nothing in between), fuzzy numbers are an extension of real numbers. Calculations with fuzzy numbers allow the incorporation of uncertainty on parameters, properties, geometry, initial conditions, etc. The arithmetic calculations on fuzzy numbers are implemented using fuzzy arithmetic operations, which can be done by two different approaches: (1) interval arithmetic approach; and (2) the extension principle approach. A fuzzy number is equal to a fuzzy interval. The degree of fuzziness is determined by the a-cut which is also called the fuzzy spread. (en)
- Un número difuso es una extensión de un número regular en el sentido que no se refiere a un único valor sino a un conjunto de posibles valores, que varían con un peso entre 0 y 1, llamado . Un número difuso es así un caso especial de conjunto difuso convexo. Así como la lógica difusa es una extensión de la lógica booleana (que sólo utiliza valores 0 y 1, exclusivamente), los números difusos son una extensión de los números reales. Los cálculos con números difusos permiten la incorporación de incertidumbre en parámetros, propiedades, geometría, condiciones iniciales, etc. (es)
- Нечёткое число — абстрактное понятие, появившееся в рамках нечёткой арифметики и представляющее собой , функция принадлежности которой является выпуклой и унимодальной. В общем случае нечёткое число является частным случаем . Аппарат нечётких чисел был введён для оперирования неопределёнными или неточными величинами в практических задачах. (ru)
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