A study on the cross product of fuzzy numbers

Abstract

In fuzzy arithmetic, the multiplication operation based on Zadeh’s extension principle owns several unnatural properties both from theoretical and practical points of view. To overcome some of these shortcomings, a new operation called cross product has been introduced recently. We show the main properties of the cross product. We also present a comparative study of the traditional multiplication and the cross product in geological applications, especially for estimating of resources of solid mineral deposits.