Abstract: One of the purpose of this paper was to give another algebraic structure with fuzziness. It is the dual Heything algebra. We introduced some, concepts, like a dual intuitionistic negation, fuzziness, measure of fuzziness on it, and gave many of their properties.The extension of these concepts to the theory of fuzzy sets is natural. They turn out to be the dual intuitionistic fuzzy sets, fuzziness and measure of fuzziness for dual intuitionistic fuzzy sets.

Key words: dual Heything algebra, dual intuitionistic negation, dual intuitionistic fuzzy sets, fuzziness, measure of fuzziness

摘要： 本文提出了对偶Heything代数的概念,且在对偶Heything代数中引入对偶直觉非,讨论了它的基本性质。我们还提出了对偶直觉Fuzzy集的概念,并研究了它的模糊性与模糊度。

关键词: 对偶Heything代数, 对偶直觉非, 对偶直觉Fuzzy集, 模糊性, 模糊度