有理数域基于膜计算的算术运算设计与实现

Arithmetic Operation Design and Implementation of Rational Number Domain Based on Membrane Computing

摘要:

为了生物计算机的实现,算术运算是完成所有计算模型的最基本运算;到目前为止,对膜系统中算术运算的研究只是处于整数域内,还没有实现有理数域内的算术运算;为实现有理数域的乘除法运算,基于生物类细胞模型,介绍了膜计算的基本原理和特性,然后构造基于规则优先级的算术P系统来实现有理数域内的乘法和除法,并举出相应的例子进行详细的说明以及实验仿真;实验仿真结果表明,提出的构造分数P系统来实现有理数域内的乘除法的思想和设计的规则是正确的,能够得到预期目标。

Abstract:

In order to implement biological computer, arithmetic operations are the foundational in all of computing models.However,the research on arithmetic operations in membrane system is remained in integer field,and the research on it in rational field haven’t implemented so far.The research propose of this paper is want to implement multiplication and division operations in rational field.Based on Biological cell-like model,this paper introduces the basic knowledge and principles of the membrane computing and presents fraction arithmetic P systems for performing multiplication and division respectively in rational field through designing the rules with priority, then gives corresponding instances to illustrate how to implement multiplication and division respectively in fraction arithmetic P systems;at the same time,we simulates multiplication and division respectively based on the the rules with priority designed.According to the experimental simulation results,it can obtained that the idea proposed that fraction arithmetic P systems for performing multiplication and division respectively in rational field and the rules designed are correct.