The central objective of this paper is to introduce \(\left( {\alpha ,\beta } \right)\)-bipolar fuzzy ideals (left, lateral and right) and bi-ideals in ternary semirings by applying the definitions of belongingness \(\left( \in \right)\) and quasi-coincidence (\(q\)) of a bipolar fuzzy point with a bipolar fuzzy set. In this work, upper parts and lower parts of bipolar fuzzy set in ternary semirings are also discussed. Regular and intra-regular ternary semirings in terms of \(\left( { \in, \in \vee q} \right)\)-bipolar fuzzy (left, lateral and right) ideals and \(\left( { \in, \in \vee q} \right)\)-bipolar fuzzy bi-ideals are characterized.

本文的主要目标是通过应用归属性的定义，在三元半环中引入\（\ left（{\ alpha，\ beta} \ right）\）-双极模糊理想（左，侧和右）和双理想具有双极模糊集的双极模糊点的\（\ left（\ in \ right）\）和拟重合（\（q \））。在这项工作中，还讨论了三元半环中双极模糊集的上部和下部。正则和正则三元半环以\（\ left（{\ in，\ in \ vee q} \ right）\）-双极性模糊（左，侧和右）理想和\（\ left（{ ，\ in \ vee q} \ right）\）-双极模糊理想化特征。