Heyting代数的扰动模糊滤子

摘要

结合扰动模糊集和滤子理论，引入 Heyting 代数的扰动模糊滤子的概念，讨论它的性质，给出了扰动模糊滤子的几个等价刻画，在 Heyting 代数的同态映射下，研究扰动模糊滤子的同态象和同态原象。其次，提出了由 Heyting代数的一个扰动模糊集生成的扰动模糊滤子的概念，获得了它的表示定理。%In combination with the theories concerning the disturbing fuzzy sets and filters,the concept of disturbing fuzzy filters of Heyting algebras is introduced,some of its properties are discussed,and several equivalent characterizations of disturbing fuzzy filters are presented.Under the homomorphic mapping of Heyting algebras,the homomorphic image and homomorphic inverse image of disturbing fuzzy filters are investigated.Next,the concept of the disturbing fuzzy filter,genera-ted by a disturbing fuzzy set in Heyting algebras,is proposed and its representation theorem is obtained.