In a BCI-algebra, the notion of m-polar $(\in ,\in )$-fuzzy q-ideal is introduced, and its properties are investigated. Relations between m-polar $(\in ,\in )$-fuzzy q-ideal and m-polar fuzzy ideal/subalgebra are discussed. Characterizations of m-polar $(\in ,\in )$-fuzzy q-ideal are considered. The extension property about the m-polar $(\in ,\in )$-fuzzy q-ideal is established. Homomorphic image and preimage of m-polar $(\in ,\in )$-fuzzy q-ideal are discussed. Characterizations of a quasi-associative BCI-algebras are provided by using m-polar $(\in ,\in )$-fuzzy q-ideal.

中文翻译：

---

BCI代数中的m极模糊q理想

在BCI代数中，m极的概念$（\in ，\in ）$引入了模糊的q理想，并研究了其性质。m极之间的关系$（\in ，\in ）$-Fuzzy q -理想和中号-polar模糊理想/子代数进行了讨论。的表征米-polar$（\in ，\in ）$-模糊q-理想。关于m极的扩展性质$（\in ，\in ）$-fuzzy q -ideal已建立。m极的同态像和原像$（\in ，\in ）$讨论了模糊的q理想。准缔合的BCI代数的特征是通过使用m极提供的$（\in ，\in ）$-模糊q-理想。