关于泛优逻辑的某些泛系研究(英文)

Some Pansystems Researches on Panoptimum Logic

人们在面对客观对象或事物作某一行动时,先要对所做的事做一番估计.并就它的价值优劣、好坏或大小等做一番比较.在此基础上作出选择.择优逻辑以人们的价值选择行为中的优选关系作为研究对象.由于择优逻辑对“优”的概念未给出严格定义,因而择优逻辑一般使用的优选关系是一种具有禁自返、反对称和传递性的关系.本文用泛系方法论,从禁自返及传递性的关系出发,只在研究最优、最劣元的存在性时才涉及反对称性.研究了择优逻辑,使其成为泛优逻辑的一个组成部分,得到了若干个定理和结论.

When people take an action in confronting with objects or things, they have to estimate it and compare with others for optimum, betterness or size, and then make a choice based on this. Optimum logic considers optimum relations of people's value choice behaviour as its research object. Since optimum logic does not give a strict definition of concept 'optimum', it uses a non-reflexive, asymmetric and transitive relation as its optimum relation. Using pansystems methodology, this paper studies optimum logic from the side of non-reflexive and transitive relations, and sometimes involving asymmetry in case of studying the existence of maximum and minimum elements. This research makes optimum logic become a component of panoptimum logic, and obtains several theorems and conclusions.