首页> 外文会议>Fuzzy Information Processing Society, 1999. NAFIPS. 18th International Conference of the North American >On the implementation of fuzzy arithmetical operations forengineering problems
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On the implementation of fuzzy arithmetical operations forengineering problems

机译:关于模糊算术运算的实现工程问题

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Fuzzy arithmetic is a successful tool to solve engineeringproblems with uncertain parameters. The generalized mathematicaloperations for fuzzy numbers can theoretically be defined making use ofZadeh's extension principle. Practical real world applications of fuzzyarithmetic, however require an appropriate form of implementation forthe fuzzy numbers and the fuzzy arithmetical operations. For thisreason, the often applied concept of triangular fuzzy numbers and themore promising approach of discretized fuzzy numbers are presented andrated with respect to their practical application to solve engineeringproblems with uncertain parameters. As an example, a rather simple buttypical problem of mechanical engineering is considered, consisting ofdetermining the displacements in a two-component massless rod undertensile load with uncertain elasticity parameters
机译:模糊算术是解决工程问题的成功工具 参数不确定的问题。广义数学 理论上,模糊数的运算可以使用 Zadeh的扩展原理。模糊的实际应用 算术,但是需要适当的实现形式 模糊数和模糊算术运算。为了这 原因,三角模糊数的常用概念和 提出了一种更有前途的离散模糊数方法,并 在解决工程方面的实际应用方面获得了评价 参数不确定的问题。例如,一个相当简单但 考虑了机械工程的典型问题,包括 确定两分量无质量杆的位移 弹性参数不确定的拉伸载荷

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