P-集合的属性函数与P-信息融合的属性合取特征及应用

doi:10.6040/j.issn.1671-9352.0.2014.377

摘要/Abstract

摘要： 利用P-集合的结构,给出P-集合中元素的属性及属性函数的概念,讨论P-集合与属性函数的关系以及单属性函数和满属性函数的计数问题。给出P-信息融合的属性合取扩展-收缩特征、内P-信息融合的属性合取扩展定理、外P-信息融合的属性合取收缩定理、具有属性合取扩展特征的内P-信息融合发现定理、具有属性合取收缩特征的外P-信息融合发现定理。最后,给出具有属性合取扩展特征的内P-信息融合生成-发现的应用实例。

关键词: P-集合, 属性函数, P-信息融合, 属性合取, 属性

Abstract: By using the structure of P-sets, the concepts of element attribute and attribute function in P-sets are defined. The relationship between P-sets and attribute function, the counting problems of injection attribute function and the counting problems of surjection attribute function are discussed. Then the attribute conjunctive expansion-reduction characteristics of P-information fusion, the theorems of attribute conjunctive expansion of internal P-information fusion, the theorems of attribute conjunctive reduction of outer P-information fusion, the discovery theorems of internal P-information fusion possessed attribute conjunctive expansion, and discovery theorems of outer P-information fusion possessed attribute conjunctive reduction are given. Finally, the application instance of generation-discovery of internal P-information fusion possessed attribute conjunctive expansion is provided.

Key words: P-information fusion, P-sets, attribute function, attribute, attribute conjunctive

中图分类号:

O144

张景晓, 徐凤生. P-集合的属性函数与P-信息融合的属性合取特征及应用[J]. 山东大学学报（理学版）, 2015, 50(10): 19-26.

ZHANG Jing-xiao, XU Feng-sheng. The attribute functions of P-sets and attribute conjunctive character-application of P-information fusion[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(10): 19-26.

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