Product Type Operations between Fuzzy Numbers and their Applications in Geology
نویسندگان
چکیده
Multiplicative operations for fuzzy numbers raise several problems both from the theoretical and practical point of view in fuzzy arithmetic. The multiplication based on Zadeh's extension principle and its triangular and trapezoidal approximation is used in several recent works in applications in geology. Recently, new product-type operation are introduced and studied, as e.g. the cross product of fuzzy numbers and the product obtained by the best trapezoidal approximation preserving the expeted interval. We present a comparative study of the above mentioned multiplications with respect to geological applications.
منابع مشابه
On the structural properties for the cross product of fuzzy numbers with applications
In the fuzzy arithmetic, the definitions of addition and multiplication of fuzzy numbers are based on Zadeh’s extension principle. From theoretical and practical points of view, this multiplication of fuzzy numbers owns several unnatural properties. Recently, to avoid this shortcoming, a new multiplicative operation of product type is introduced, the so-called cross-product of fuzzy numbers. Th...
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