Representation uniqueness of generalized triangular fuzzy numbers and generalized trapezoidal fuzzy numbers

摘要: In this paper, we introduce the generalized triangular fuzzy numbers and the generalized trapezoidal fuzzy numbers. Then it is shown the representation uniqueness of the generalized triangular fuzzy numbers and the representation uniqueness of the generalized trapezoidal fuzzy numbers. As corollaries of these conclusions, we have conclusions on the representation unique-
ness of the triangular fuzzy numbers and on the representation uniqueness of the trapezoidal fuzzy numbers. Furthermore, we present several equivalent forms of some conclusions of the representation uniqueness. We also give some relationship among the triangular fuzzy numbers, the trapezoidal fuzzy numbers, the generalized triangular fuzzy numbers, and the generalized
trapezoidal fuzzy numbers.