由模糊结构元生成的指数型和正弦型模糊数的四则运算

Expression Forms of Four Fundamental Operations of Exponent and Sine Fuzzy Number Base on Fuzzy Structured Element

运用模糊数的模糊结构元表述理论,定义了一类由模糊结构元非线性生成的模糊数———指数型和正弦型模糊数,并基于[-1,1]上同序单调函数的同序变换方法,讨论了由模糊结构元非线性生成的指数型和正弦型模糊数的四则运算问题,给出了四则运算结果的隶属函数公式。所采用的方法以及所得到的结果,对于研究其它形式模糊数的快速计算问题有很好的参考作用。

The fuzzy structured element theory of fuzzy number is adopted to give a definition of fuzzy number that is non-linear and is categorized into exponent and sine fuzzy number. Based on the method of order-preserving transform of bounded monotone functions on the symmetric interval [ - 1,1 ] , four fundamental operations of exponent and sine fuzzy number are discussed and put forward the membership function formula according to results of the four fundamental operations. The methods and achievements will play a referential role in having a research on the swift-calculation of fuzzy number of other forms.