A discrete method for studying indifference and order relations between fuzzy numbers

Abstract This paper proposes a generalization of the ranking function approach to fuzzy numbers, permitting the definition of different kinds of dominance conferring a degree on the order relation. Our generalization enables the subjectivity of the decisionmaker to be taken into account. Unlike the other methods for ranking fuzzy numbers, our model provides an improved indifference relation in comparison with previous models. Finally, some properties of the ranking function are described.