The study reveals representation uniqueness in generalized triangular and trapezoidal fuzzy numbers, implying broader implications for fuzzy number theory.
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 uniqueness 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.
No takes yet. Share an insight, caveat, or question.
Qing-song et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: