Product Type Operations between Fuzzy Numbers and their Applications in Geology

Multiplicative operations for fuzzy numbers raise several problems both from thetheoretical and practical point of view in fuzzy arithmetic. The multiplication based onZadeh's extension principle and its triangular and trapezoidal approximation is used inseveral recent works in applications in geology. Recently, new product-type operation areintroduced and studied, as e.g. the cross product of fuzzy numbers and the product obtainedby the best trapezoidal approximation preserving the expeted interval. We present acomparative study of the above mentioned multiplications with respect to geologicalapplications.