A theory of concepts and their combinations I
A theory of concepts and their combinations I
复制标题
概念及其组合理论 I
作者：
Diederik Aerts;L. Gabora
目的阐述一种概念建模理论，该理论结合了上下文如何影响单个范例的典型性和概念的单个属性的适用性。研究上下文和属性集合的结构。设计/方法/途径通过引入“概念状态”的概念，并利用状态-上下文-属性形式主义（SCOP）（量子形式主义的推广，其基本概念是状态、上下文和属性）来解释上下文对范例典型性和属性适用性的影响。发现论文证明了上下文集合和属性集合概念的一个完整的邻补格，即具有偏序关系的集合，使得对于每个子集都存在最大下界和最小上界，并且对于每个元素都存在一个邻补。该结构分别描述了上下文和属性的“and”、“or”和“not”。它表明上下文格和属性格都是非经典的，即类量子格。 原创性/价值尽管上下文对概念的影响已被广泛认可，但包含这种影响的理论的正式数学结构尚未成功。对这种形式结构的研究是为阐述概念理论做准备，概念理论允许描述概念的组合。
PurposeTo elaborate a theory for modeling concepts that incorporates how a context influences the typicality of a single exemplar and the applicability of a single property of a concept. To investigate the structure of the sets of contexts and properties.Design/methodology/approachThe effect of context on the typicality of an exemplar and the applicability of a property is accounted for by introducing the notion of “state of a concept”, and making use of the state‐context‐property formalism (SCOP), a generalization of the quantum formalism, whose basic notions are states, contexts and properties.FindingsThe paper proves that the set of context and the set of properties of a concept is a complete orthocomplemented lattice, i.e. a set with a partial order relation, such that for each subset there exists a greatest lower bound and a least upper bound, and such that for each element there exists an orthocomplement. This structure describes the “and”, “or”, and “not”, respectively for contexts and properties. It shows that the context lattice as well as the property lattice are non‐classical, i.e. quantum‐like, lattices.Originality/valueAlthough the effect of context on concepts is widely acknowledged, formal mathematical structures of theories that incorporate this effect have not been successful. The study of this formal structure is a preparation for the elaboration of a theory of concepts that allows the description of the combination of concepts.
结合基于范例的类别表示和联结主义学习规则。
DOI：
10.1037//0278-7393.18.2.211
发表时间：
1992
期刊：
Journal of experimental psychology. Learning, memory, and cognition
影响因子：
--
作者：
Nosofsky,RM;Kruschke,JK;McKinley,SC
通讯作者：
McKinley,SC
影响因子：
5.4
作者：
NOSOFSKY, RM;PALMERI, TJ;MCKINLEY, SC
通讯作者：
MCKINLEY, SC