偏联系数的计算与应用研究

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Title:

The calculation and application of partial connection numbers

作者:

杨红梅¹, 赵克勤²

1. 山西广播电视大学 成人教育学院, 山西 太原 030027;
2. 诸暨市联系数学研究所, 浙江 诸暨 311800

Author(s):

YANG Hongmei¹, ZHAO Keqin²

1. Adult Education College, Shanxi Radio and TV University, Taiyuan 030027, China;
2. Institut of Zhuji Connection Mathematics, Zhuji 311800, China

关键词:

集对分析; 联系数; 多元联系数; 偏联系数; 全偏联系数; 系统微观运动; 多层分析法; 信息能

Keywords:

set pair analysis; connection number; multi-connection number; partial connection number; full partial connection number; micro motion of system; multi-layer analysis method; information energy

分类号:

TP311

DOI:

10.11992/tis.201810022

摘要:

偏联系数是联系数的一种伴随函数，其计算过程反映出联系数的联系分量在各个微观层次上的“矛盾运动”，计算结果指示出这种“矛盾运动”的阶段性结果，是“系统宏观状态与微观趋势多层分析法”的主要数学工具。本文系统阐述常用的二元至五元联系数的偏联系数算法和若干新思路，并从智能技术创新和信息能开发利用等角度指出偏联系数算法是一种新的智能算法。

Abstract:

Partial connection numbers (PCNs) are a kind of adjoint function of connection numbers. Their computational process reflects a paradoxical movement on the micro level, and the result indicates that the phase result of such paradoxical movement is the main mathematical tool of the multi-layer approximation method of macro-state and micro-trend. This paper also systematically expounds the commonly used PCN algorithms from 2- to 5-element connection numbers and some ideas and establishes that the PCN algorithm is an intelligent algorithm from the aspects of intelligent technology innovation and information energy development and utilization.