【摘要】 方向单调算子在模糊逻辑领域中占据重要地位，其序和构造理论对深化算子基础理论具有关键作用.然而，现有研究对方向单调算子的序和构造理论的系统性探讨仍显不足.该文聚焦于方向单调模糊Sheffer strokes,探究其序和构造方法，构建更为完善的序和构造理论框架，探索新的构造方法，并对现有方法进行优化与推广.更多还原

【Abstract】 Directionally monotonic operators play a critical role in fuzzy logic, with their ordinal sum constructions offering valuable insights into the foundational behavior of such operators.However, despite these advancements, the theoretical framework for the ordinal sum construction of these Sheffer strokes remains underdeveloped.It aims to address this gap in this paper by establishing a more comprehensive theoretical foundation for the ordinal sum construction of directionally monotonic fuzzy Sheffer strokes.In particular, the existing framework is enhanced, novel construction methodologies is proposed, which refines and extends current approaches.更多还原