Fuzzy revenue for fuzzy demand quantity based on interval-valued fuzzy sets

Gorzalezany has mentioned the interval-valued fuzzy set and its properties. In this paper, we may fuzzify the demand quantity d as D by considering the demand function P(d) = a − bd and revenue function R(d) = ad − bd². If D is the interval-valued fuzzy set with two triangular fuzzy numbers, we can obtain the fuzzy revenue R(D) = aD − bD². Therefore, we can find the membership function μR(D)(z) of the interval-valued fuzzy set R(D). We also can find out the estimate of revenue in the fuzzy sense M(x;Δ1,Δ2) by defuzzification of fuzzy revenue R(D). Finally, we compare with the crisp and fuzzy case.