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  • 冯嘉礼,詹明,叶中行.感知和判断中的基准变换及其性质坐标分析法[J].广西科学,1994,1(4):6-13,22.    [点击复制]
  • Feng Jiali,Zhan Ming,Ye Zhongxing.Criterion Transition in Perceptual and Judgment and Its Attributive Coordinate Analytics Orientation[J].Guangxi Sciences,1994,1(4):6-13,22.   [点击复制]
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感知和判断中的基准变换及其性质坐标分析法
冯嘉礼1, 詹明2, 叶中行3
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(1.广西师范大学计算机应用技术研究所, 桂林市三里店 541004;2.天津长途电信局, 天津 300052;3.上海交通大学应用数学系, 上海 200030)
摘要:
感知识别和概念判断分别是直感(形象)思维和逻辑(抽象)思维的基础,其基准可随外部条件和思维者认知结构而变的现象,是识别、判断和推理等产生各种不确定性和矛盾性的根源,感知与判断的描述,需要一种既能容纳对象属性和人类基准的表示系统,又能刻划它们之间的关系及其变化规律的分析方法.根据神经生理实验和心理学理论,将感觉和知觉分别定义为神经元(或集团)对事物简单属性和整合(整体和综合)属性的识别映射;给出了思维科学的两个基本命题:(1)事物性质元间基于整合的生成结构能在感知记忆集中得到保持的充要条件是感知觉是一个同态映射;(2)事物性质无间的推理关系能在感知记忆范畴中得到保持的充要条件是感知觉是一个范畴函子.事物性质元间的生成与推理结构有一个同构的表示模型——性质单纯形K的重心剖分复形K(m)(X),简称性质坐标系,框架和网络可作为子复形嵌入其中,对象属性和心理基准,以及它们之间关系的变化规律可在性质坐标系K(m)(x)中得到表示,人类感知识别、概念判断以及基干它们的推理和决策等都可在其中得以统一刻划.
关键词:  感知识别  概念判断  感知同态  感知函子  基准变换  性质坐标分析法  思维科学
DOI:
投稿时间:1994-09-20
基金项目:国家自然科学基金和国家攀登计划基金
Criterion Transition in Perceptual and Judgment and Its Attributive Coordinate Analytics Orientation
Feng Jiali1, Zhan Ming2, Ye Zhongxing3
(1.Institute of Computer Application Technique, Guangxi Normal University, Sanlidian, Guilin, 541004;2.TianJin Long-Distance Communication Office, TianJin, 300052;3.Dept. of Application Math., Shanghai Jiaotong University, Shanghai, 200030)
Abstract:
Perceptual recognition and conceptual judgment are respectively basis of intuitive (or image) thinking and logical (or abstract) thinking. Variability of their criterions are the basic and reasons whyvarious uncertainties and contradictories are emegered from recognition, judgment and reasoning. The description of recognition and judgment needs not only a representation system in which both (integrant) attribute of object and judger's criteria can be contained, but also an analystic approach that candescribe the relationships between integrant attribute and judger's criteria and their change law. According to neurophysiology experiment and psychology theory, senation and perception can be respectively defined as recognition maps of neuron (or gourp) respectively to monotomicity and integrant attributive of objects and two fundamental propositions of noetic science are given as follows:(1) The integration structure among object attributes can be conserved in perceptual memory, if and only if perception is a homomorphism between the attribute set of object and the set of perception memory. (2) The reasoning relation among object attributes can be conserved in perceptual memory, if and only if perception is a functor between the category of attribute reasoning and the category of human reasoningin memory. An attributive coordinate analytics, in which the criterion of recognition and judgment andtheir change law can be represented, is provided, and some intelligent characteristics of human thought, such as nonmonotonicity of commonsensereasoning, contradictory and fuzziness of commonsense judgment, and tendentiousness of empirical decision and so on can be described by mathematical language.
Key words:  recognition  judgment  perception homomorphism  perception functor  criterion transition  attributive coordinate analytics  noetic science

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