Optimization of Interval Type-2 Fuzzy Logic System for Software Reliability Prediction

I. Umoeka, Imo J. Eyoh, E. Udo, V. Akwukwuma
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Abstract

Since real world application is fraught with high amount of uncertainty, such as applicable to software reliability, there should be a method of handling the uncertainty. This paper presents a model to properly handle uncertainty in software data for effective prediction of the reliability of software at the early phase of software development process. In this paper we employed a Takagi-Sugeno-Kang (TSK)-based interval type 2 fuzzy logic systems with artificial neural network learning for the prediction of software reliability. The degree of membership grades of the interval type 2 fuzzy sets (IT2FSs) are obtained using interval type Gaussian membership function with fixed mean and uncertain standard deviation. The parameters of the IT2FLS membership functions are optimized using gradient descent (GD) back-propagation algorithm. As inputs to the system, reliability relevant software requirement metrics and the software size metrics are used. The proposed new approach makes use of qualitative data of requirement metrics of twenty three real software projects to examine its predictive ability. The performance of the model is evaluated using five performance metrics and found to provide better results when compared with existing approaches.
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区间2型模糊逻辑系统在软件可靠性预测中的优化
由于现实世界的应用程序充满了大量的不确定性,例如适用于软件可靠性,因此应该有一种处理不确定性的方法。为了在软件开发过程的早期阶段对软件的可靠性进行有效的预测,本文提出了一个模型来处理软件数据中的不确定性。本文采用一种基于Takagi-Sugeno-Kang (TSK)的区间2型模糊逻辑系统,结合人工神经网络学习进行软件可靠性预测。利用均值固定、标准差不确定的区间型高斯隶属函数,得到了区间型2模糊集的隶属度等级。采用梯度下降(GD)反向传播算法对IT2FLS隶属函数的参数进行了优化。作为系统的输入,使用了与可靠性相关的软件需求度量和软件大小度量。该方法利用23个实际软件项目的需求度量的定性数据来检验其预测能力。该模型的性能使用五个性能指标进行评估,并发现与现有方法相比可以提供更好的结果。
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