Abstract

Soft set theory is a mathematical approach that provides solution for dealing with uncertain data. As a standard soft set, it can be represented as a Boolean-valued information system, and hence it has been used in hundreds of useful applications. Meanwhile, these applications become worthless if the Boolean information system contains missing data due to error, security or mishandling. Few researches exist that focused on handling partially incomplete soft set and none of them has high accuracy rate in prediction performance of handling missing data. It is shown that the data filling approach for incomplete soft set (DFIS) has the best performance among all previous approaches. However, in reviewing DFIS, accuracy is still its main problem. In this paper, we propose an alternative data filling approach for prediction of missing data in soft sets, namely ADFIS. The novelty of ADFIS is that, unlike the previous approach that used probability, we focus more on reliability of association among parameters in soft set. Experimental results on small, 04 UCI benchmark data and causality workbench lung cancer (LUCAP2) data shows that ADFIS performs better accuracy as compared to DFIS.

Highlights

  • Soft set theory proposed by Molodtsov is considered as a mathematical model for dealing with vague and uncertain data (Molodtsov 1999)

  • In summary the contribution of this work is described as follow: (a) We propose an alternative data filling approach for prediction of missing data in soft sets (ADFIS)

  • We present the results obtained from data filling approach for incomplete soft set (DFIS) and ADFIS for four UCI benchmark datasets Causality workbench LUCAP2 data set

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Summary

Background

Soft set theory proposed by Molodtsov is considered as a mathematical model for dealing with vague and uncertain data (Molodtsov 1999). Sequentially by Ma et al for decision making of sub-optimal choices and simplified approaches, respectively (Chen et al 2005; Kong et al 2008; Ma et al 2011) In parallel to these developments, researchers used soft set for handling daily life’s uncertain data issues and applied it in verity of useful applications Sub-sequentially, Kong et al (Kong et al.2014) improved Zou et al (Zou and Xiao 2008) approach of incomplete soft set by presenting an equivalent probability technique having less complexity and determining actual missing data instead of only decision values determination. It is an incomplete soft set with unknown values represented by ∗1, ∗2, ∗3 and ∗4

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