作　　者： ; ;

机构地区： 广州大学

出　　处： 《模糊系统与数学》 1993年第2期33-42,共10页

摘　　要： 本文用sup-⊙(有界算子)合成代替通常模糊数运算中的sup-min合成,对三角模糊数讨论其加减乘除算术运算,证明了其和、差与数乘仍是三角模糊数,得到了积、商仍为三角模糊数的条件。并给出一个例子,说明以三角模糊数为系数的线性方程组有可能存在三角模糊数解。 In this paper the composition sup-min which used for operations of fuzzy numbers has been substituted by composition sup-⊙ (the bold intersection). In discussing the operations of triangular fuzzy numbers (abbreviated to t. f. n.) such as addition, subtraction, multiplication and division, we prove that the sum, difference and number multiply of t. f. n, remain a t. f. n., and we obtain the conditions of that the multiply and quotient of t. f. n. remain a t. f. n.. An example shows that the solutions of a set of linear equations with t. f. n, coefficients may be t. f. n..

关 键 词： 有界算子 三角模糊数 运算 模糊数

领　　域： [理学] [理学]