Recent advances in fuzzy arithmetics
In the present paper we propose a comparative overview of some recent results in fuzzy arithmetics. This study is motivated by the fact that the multiplication of two trapezoidal fuzzy numbers by using Zadeh's extension principle is not of trapezoidal shape. Since in several applications these are the fuzzy numbers which are only admitted, the result of the multiplication is either approximated by a trapezoidal fuzzy number, either the multiplication is given in such a way. that the result is of trapezoidal shape. We study several approaches to solve this problem both from the theoretical and practical point of view.
fuzzy arithmetics fuzzy numbers