4.The abstracting and embodying of concept.
Abstraction of concept is a process to get meta-concepts or meta-class, through continuing to take some attribute or their combination away, freely, from the definitional attribute set(DAS) of the original concept or class(see Fig. 3). Contrarily, Embodying of concept means to specify the sub-concepts or the instances, by means of adding some attribute or their combination, not so freely, to the DAS of the original concept or class(see Fig. 4).
In the courses of abstraction and embodying, there are two important concepts involved:
Generalized Variable(GVAR): The aspects of observation or description of thing.
Generalized Value(GVAL): The specification of the GVAR.
In these courses, things change their roles between GVAR and GVAL. For examples, “(GVAR)which type of student? (GVAL)medical student” → “(GVAR) which type of medical student? (GVAL) medical student majoring pediatrics” →……(see Table 3).
Then we come to:
Variable and value transitivity law(V-V transitivity law): Let Yi+1 = f(Yi))is a hierarchical tree by means of is_a relationships, Yi+1 is a subclass or instance of Yi, i = 1,2,3,…. then when Yi is applied as a generalized variable(GVAR), Yi+1 would be its generalized value(GVAL). And the same for Yi+1 and Yi+2……
More formalized, let A or B be a concept or GVAR or GVAL and “A → B” means (A is a (meta-)GVAR of B)∨(B is a (sub-)GVAL of A),then (meta-)nconcept is a (meta-)GVAR of (meta-)n-1concept)∨((meta-)n-1concept is a (sub-)GVAL of (meta-)nconcept)..
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4.概念抽象化与具体化.
概念的抽象化是获得原概念的元概念或元类的过程,通过不断地自由地从原概念的定义属性集合(The Definitional Attribute Set,DAS)中抽去某种或某些属性以实现此过程(见图3)。相反,概念的具体化为指定原概念的子概念或实例的过程,通过不断地但并非完全自由地或不无约束地向DAS中增加某种或某些属性以实现此过程(见图4)。
在抽象化和具体化过程或A-E运动中,涉及二个重要概念:
广义变量(Generalized Variable,GVAR),即对事物观测或描述的方面;
广义变量值(Generalized Value,GVAL),即对GVAR的指定。
在A-E运动中,事物往往在GVAR和GVAL之间转变角色。例如,“问:什么类型(GVAR)的学生?答:医学生(GVAL)” →“问:什么类型的医学生(GVAR)?答:儿科学学生(GVAL)” →……(见表3)。
把问题一般化,我们就得到:
变量-变量值角色传递律:
设Yi+1 = f(Yi))为由is_a 关系形成的层次树结构,Yi+1为Yi, i = 1,2,3,…的子类或实例,于是当Yi被用作GVAR,Yi+1可被用作GVAL,对Yi+1 and Yi+2……则依次类推。
更形式化地,设A或B为一个概念或GVAR或GVAL,“A → B”意为 “A为a (meta-)GVAR of B)∨(B为a (sub-)GVAL of A)”,那么“(meta-)n概念→(meta-)n-1概念”意为“(meta-)n概念为a (meta-)GVAR of (meta-)n-1概念)∨((meta-)n-1概念为a (sub-)GVAL of (meta-)n概念”。.
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摘自Hanfei Bao:The Theory of Bio-Medical Knowledge Integration(Ⅵ)(accepted by <Medical Information>)