EBL-代数上的赋值态和具有量词的EBL-代数

State-morphism on EBL-algebras and EBL-algebras with Quantifier

态理论在多值逻辑及其相关代数的研究中有着重要的作用.在EBL-代数上引入赋值态的概念,给出赋值态的性质和等价刻画;从滤子和商代数的角度讨论了赋值态与Bosbach态、极值Bosbach态之间的关系;提出了具有量词的EBL-代数,并研究了其相关性质.

State theory plays an important role in the study of multivalued logic and its related algebras.The concept of state-morphism is introduced in EBL-algebras,its properties and equivalent characterization are investigated,and the relationship between state-morphism and Bosbach state and extremal Bosbach state is discussed from the perspective of filters and quotient algebras.In addition,the EBL-algebras with quantifier is introduced and its related properties are studied.