The notion of an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is introduced, and its properties are investigated. The relationship between m-polar fuzzy subalgebra, m-polar fuzzy ideal, and m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is examined. Conditions for an m-polar fuzzy ideal to be an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal are provided. The relationship between m-polar \((\in ,\) \(\in )\)-fuzzy p-ideal, m-polar \((\in ,\) \(\in )\)-fuzzy q-ideal, and m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is shown. The normal m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal is introduced, and its characterizations are considered. Characterizations and extension property of an m-polar \((\in ,\) \(\in )\)-fuzzy a-ideal are discussed.

引入了m极\（（\ in，\） \（\ in）\）- fuzzy a -ideal的概念，并研究了其性质。研究了m极模糊子代数，m极模糊理想和m极\（（\ in，\） \（\ in）\）- fuzzy a-理想之间的关系。提供了使m极模糊理想成为m极\（（\ in，\） \（\ in）\）- fuzzy a -ideal的条件。之间的关系米-polar \（（\中，\） \（\中）\） -模糊p-理想，米-polar \（（\中，\） \（\中）\） -模糊q -理想，和米-polar \（（\中，\） \（\中）\） -模糊一个-显示了理想状态。引入了普通的m极\（（\ in，\） \（\ in）\） - a -ideal，并考虑了其特征。讨论了一个m极\（（\ in，\） \（\ in）\）- fuzzy a -ideal的特征和扩展性质。