基于两个参数的等级上逼近算子的乘积模型

Xianyong Zhang, S. Xie, Zhi-wen Mo
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引用次数: 2

摘要

本文探讨了阶上逼近算子的乘积运算。在逻辑积运算的基础上,提出了基于两个参数的等级上逼近算子的积模型。得到了新模型的本质、基本结构和性质。提出并分析了宏观算法和结构算法,得出了结构算法在时间复杂度方面具有优势的重要结论。最后通过一个算例说明了该模型及其算法。基于两个参数的阶上逼近算子的乘积模型部分地扩展了阶上逼近算子的粗糙集模型,得到了阶上逼近算子的幂等性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Product Model of Grade Upper Approximation Operators Based on Two Parameters
The paper is to explore product operation of grade upper approximation operators. Based on logical product operation, it proposes product model of grade upper approximation operators based on two parameters. Essence, basic structure and properties are obtained in the new model. Macroscopic algorithm and structural algorithm are proposed and analyzed, and it obtains an important conclusion that structural algorithm has advantages in time complexity. The new model and its algorithms are illustrated by an example. Product model of grade upper approximation operators based on two parameters has extended graded rough set model partially, and it obtains idempotent property of grade upper approximation operators.
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