Gorzalezany (Fuzzy Sets and Systems 21 (1987) 1) has mentioned the interval-valued fuzzy sets and its properties. In his 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-bd(2). If D is the interval-valued fuzzy set with two triangular fuzzy numbers, we can obtain the fuzzy revenue R(D)=aD-bD(2). Therefore, we can find the membership function (μ) over bar (R(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; Delta(1),Delta(2)) by defuzzification of fuzzy revenue R(D). Finally, we compare with the crisp and fuzzy case.
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COMPUTERS & OPERATIONS RESEARCH Volume: 29 Issue: 11 Pages: 1495-1535
