BCI-代数的扰动模糊q-理想

Disturbing Fuzzy q-Ideals of BCI-Algebras

将扰动模糊集应用于BCI-代数中,引入了BCI-代数的扰动模糊q-理想的概念,研究了它相关性质,讨论了扰动模糊q-理想与扰动模糊理想、扰动模糊子代数之间的关系,给出了扰动模糊q-理想的几个等价刻画和扩展定理,指出了BCI-代数的扰动模糊q-理想的同态象与同态原象在一定条件下仍是扰动模糊q-理想。

Applying disturbing fuzzy sets to BCI-algebras, this paper introduces the concept of disturbing fuzzy qideals of BCI-algebras and studies their properties. The relations between disturbing fuzzy q- ideals and disturbing fuzzy ideals and disturbing fuzzy subalgebras are discussed. Some equivalent characterizations and the extensive theorem of disturbing fuzzy q- ideals are given. It is pointed out that the homomorphic image and homomorphic primitive of disturbing fuzzy q-ideal of BCI-algebras are still disturbing fuzzy q-ideals under certain conditions.