基于核和灰度的區(qū)間灰數(shù)運算法則
摘要：區(qū)間灰數(shù)運算是灰色系統(tǒng)的理論基礎,對灰色系統(tǒng)理論發(fā)展的影響舉足輕重.首先給出了灰數(shù)核的定義,基于核和灰數(shù)灰度建立了區(qū)間灰數(shù)運算公理、運算法則和新的灰代數(shù)系統(tǒng),并研究了運算性質.至此,灰數(shù)運算被轉化為實數(shù)運算,區(qū)間灰數(shù)運算的難題在一定程度上得到解決.定義的區(qū)間灰數(shù)運算可以推廣到以區(qū)間灰數(shù)為基本元素的灰色代數(shù)方程、灰色微分方程、灰色矩陣運算的情形,而且有助于由于受到區(qū)間灰數(shù)運算困難的制約一直進展緩慢的灰色投入產出和灰色規(guī)劃等方面的研究.Abstract：The algorithm of interval grey numbers is the theoretical basis of a grey system theory. It has very important significance in developing the grey system theory. A definition of Kernel is given first. Algorithm axioms, algorithm rules of interval grey numbers and new algebraic systems are built based on the Kernel and the degree of greyness of grey numbers. And the properties of the algorithm are studied. Up to now, the algorithm of interval grey numbers are transformed to the algorithm of real numbers, so the difficult problem for algorithm of interval grey numbers is solved to a certain degree. The algorithm of interval grey numbers is extended to the grey algebraic equation, grey differential equation and grey matrix algorithm including interval grey numbers. The algorithm system of interval grey numbers is helpful for research on grey input-output and grey programming. 作者： 劉思峰方志耕謝乃明 Author： LIU Si-feng FANG Zhi-geng XIE Nai-ming 作者單位： 南京航空航天大學灰色系統(tǒng)研究所,江蘇,南京,210016 期 刊： 系統(tǒng)工程與電子技術 ISTICEIPKU Journal： SYSTEMS ENGINEERING AND ELECTRONICS 年，卷(期)： 2010, 32(2) 分類號： C931 N941.5 關鍵詞： 區(qū)間灰數(shù) 核 灰度 運算法則 Keywords： interval grey numbers Kernel the degree of greyness of grey numbers algorithm rules 機標分類號： C93 O15 機標關鍵詞： 灰數(shù)灰度 區(qū)間灰數(shù) 運算法則 based interval grey numbers rules of Kernel 數(shù)運算 the grey system differential equation theoretical basis 灰色系統(tǒng) 灰色微分方程 significance degree 運算性質 投入產出 理論基礎 理論發(fā)展 矩陣運算 基金項目： 國家自然科學基金，哈爾濱工業(yè)大學�？蒲泻徒谈捻椖�，人文社會科學規(guī)劃基金，江蘇省高等學校優(yōu)秀創(chuàng)新團隊基金，南京航空航天大學創(chuàng)新群體，特聘教授科研創(chuàng)新基金【基于核和灰度的區(qū)間灰數(shù)運算法則】相關文章：
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