Our main objective is to introduce the innovative concept of (α,ß)-bipolar fuzzy ideals and (α,ß)-bipolar fuzzy generalized bi-ideals in ordered ternary semigroups by using the idea of belongingness and quasi-coincidence of an ordered bipolar fuzzy point with a bipolar fuzzy set. In this research, we have proved that if a bipolar fuzzy set h = (S; hn, hp) in an ordered ternary semigroup S is the (∈,∈ ∨ q)-bipolar fuzzy generalized bi-ideal of S, it satisfies two particular conditions but the reverse does not hold in general. We have studied the regular ordered ternary semigroups by using the (∈,∈ ∨ q)-bipolar fuzzy left (resp. right, lateral and two-sided) ideals and the (∈,∈ ∨ q)-bipolar fuzzy generalized bi-ideals.
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机译：转换术语± [n i ] f（+/-） min 的条件最小化结构的逻辑动态过程的方法Sub> AND ± [m i ] f（+/-） min 在功能添加结构中± f < Sub> 1 （Σ RU ） min ，不带纹波f 1 （±←←）和循环ΔtΣ→5∙f（＆）-和5个条件逻辑函数f（＆）-，并通过三元数系统的算术公理同时转换术语参数的过程f RU （+ 1,0，-1）及其实现其的功能结构（俄罗斯逻辑版本）
