A new and efficient method for elementary fuzzy arithmetic operations on pseudo-geometric fuzzy numbers

Abstract

There are certain problems in the subtraction operator, division operator and obtaining the membership functions of operators and above all, dependence effect in the fuzzy arithmetic operations using the extension principle (in the domain of the membership function) or the interval arithmetics (in the domain of $\alpha$ - cuts). In this regard, this paper provide a new method regarding the effective practical computation of elementary fuzzy arithmetic operations on pseudo-geometric fuzzy numbers. Therefore we eliminated such deficiency with the new proposed method and demonstrated that the new operators are more efficient. Finally, several illustrative examples were given to show the accomplishment and ability of the proposed method. The future prospect of this paper is a new attitude to fuzzy mathematics.