| P-粗积分的粗变化率及其特性 |
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| 引用本文： | 于秀清. P-粗积分的粗变化率及其特性[J]. 山东大学学报(自然科学版), 2009, 0(4): 92-96 |
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| 作者姓名： | 于秀清 |
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| 作者单位： | [1]德州学院,山东德州253014; [2]山东大学数学学院,山东济南250100 |
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| 基金项目： | 山东省自然科学基金资助项目（Y2007H02） |
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| 摘 要： | P-粗积分是由函数双向S-粗集生成的一个积分对，当有属性迁出同时又有属性迁入系统时，P-粗积分发生变化，就具有了一系列动态特性。在P-粗积分动态特性的基础上定义了粗变化度与粗变化率，并研究了其特性。而且粗变化率将迁出与迁入的属性（或P=FUP）对系统产生的作用进行了量化。为有目的地调整系统提供了理论依据。
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| 关 键 词： | P-粗积分 动态特性 粗变化度 粗变化率 |
The rough changing ratio of P-rough integrals and its characteristics |
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| YU Xiu-qing. The rough changing ratio of P-rough integrals and its characteristics[J]. Journal of Shandong University(Natural Science Edition), 2009, 0(4): 92-96 |
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| Authors: | YU Xiu-qing |
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| Affiliation: | YU Xiu-qing (1. Dezhou College, Dezhou 253014, Shandong, China; 2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China) |
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| Abstract: | P-rough integrals is composed of one pair of the integrals generated by function two direction S-rough sets. When some attributes move in and out, P-rough integrals change, which then has a series of dynamic characteristics. Based on ,P-rough integrals dynamic characteristics, rough changing degree and rough changing ratio are defined, and their characteristics are discussed. Rough changing ratio makes the effect produced by attributes that are moving in and out （ or P = F ∪ F） be expressed with numbers. It provides theory proof for adjusting the system on purpose. |
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| Keywords: | P-rough integrals dynamic characteristics rough changing degree rough changing ratio |
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