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Representing Fuzzy Numbers for Fuzzy Calculus

机译:代表模糊微积分的模糊数

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In this paper we illustrate the LU representation of fuzzy numbers and present an LU-fuzzy calculator, in order to explain the use of the LU-fuzzy model and to show the advantage of the parametrization. The model can be applied either in the level-cut or in generalized LR frames. The hand-like fuzzy calculator has been developed for the MS-Windows platform and produces the basic fuzzy calculus: the arithmetic operations (scalar multiplication, addition, subtraction, multiplication, division) and the fuzzy extension of many univariate functions (exponential, logarithm, power with numeric or fuzzy exponent, sin, arcsin, cos, arccos, tan, arctan, square root, Gaussian, hyperbolic sinh, cosh, tanh and inverses, erf and erfc error functions, cumulative standard normal distribution).
机译:在本文中,我们说明了模糊数的LU表示,并呈现了LU模糊计算器,以便解释使用LU-FUZZY模型并显示参数化的优点。该模型可以在级别切割或广义LR帧中应用。已经为MS-Windows平台开发了手绘模糊计算器,并产生了基本模糊微积分:算术运算(标量乘法,加法,减法,乘法,划分)和许多单变量函数的模糊扩展(指数,对数,用数字或模糊指数,罪恶,arcsin,cos,arccos,棕褐色,arctan,平方根,高斯,双曲性Sinh,cosh,tanh和反转,ERF和ERFC误差功能,累积标准正常分布)。

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