标题： 时态及相关算子的多值方面 显示英文标题

标题： Many-valued aspects of tense an related operators

摘要： 我们的研究基于哈莫斯关于函数单元素布尔代数的基础工作以及我们之前关于时态算子的研究，发展了三个基本构造，包括模糊集和幂集算子的重要概念。这些构造在当代数学的多个领域有着广泛的应用，包括代数、逻辑和拓扑学。我们提出的框架生成了四个协变函子和两个逆变函子，建立了三个伴随情况。 显示英文摘要

摘要： Our research builds upon Halmos's foundational work on functional monadic Boolean algebras and our previous work on tense operators to develop three essential constructions, including the important concepts of fuzzy sets and powerset operators. These constructions have widespread applications across contemporary mathematical disciplines, including algebra, logic, and topology. The framework we present generates four covariant and two contravariant functors, establishing three adjoint situations.