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Evaluating Evidential Reliability In Pattern Recognition Based On Intuitionistic Fuzzy Sets

Juntao Xu, Tianxiang Zhan, Yong Deng

TL;DR

The proposed FRI algorithm is based on decision quantification rules derived from IFS, defining the contribution of different BPAs to correct decisions and deriving the evidential reliability from these contributions, and effectively enhances the rationality of reliability estimation for evidence sources.

Abstract

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the high efficiency of classification models. In this paper, we consider the combination of DS theory and Intuitionistic Fuzzy Sets (IFS) and propose an algorithm for quantifying the reliability of evidence sources, called Fuzzy Reliability Index (FRI). The FRI algorithm is based on decision quantification rules derived from IFS, defining the contribution of different BPAs to correct decisions and deriving the evidential reliability from these contributions. The proposed method effectively enhances the rationality of reliability estimation for evidence sources, making it particularly suitable for classification decision problems in complex scenarios. Subsequent comparisons with DST-based algorithms and classical machine learning algorithms demonstrate the superiority and generalizability of the FRI algorithm. The FRI algorithm provides a new perspective for future decision probability conversion and reliability analysis of evidence sources.

Evaluating Evidential Reliability In Pattern Recognition Based On Intuitionistic Fuzzy Sets

TL;DR

The proposed FRI algorithm is based on decision quantification rules derived from IFS, defining the contribution of different BPAs to correct decisions and deriving the evidential reliability from these contributions, and effectively enhances the rationality of reliability estimation for evidence sources.

Abstract

Determining the reliability of evidence sources is a crucial topic in Dempster-Shafer theory (DST). Previous approaches have addressed high conflicts between evidence sources using discounting methods, but these methods may not ensure the high efficiency of classification models. In this paper, we consider the combination of DS theory and Intuitionistic Fuzzy Sets (IFS) and propose an algorithm for quantifying the reliability of evidence sources, called Fuzzy Reliability Index (FRI). The FRI algorithm is based on decision quantification rules derived from IFS, defining the contribution of different BPAs to correct decisions and deriving the evidential reliability from these contributions. The proposed method effectively enhances the rationality of reliability estimation for evidence sources, making it particularly suitable for classification decision problems in complex scenarios. Subsequent comparisons with DST-based algorithms and classical machine learning algorithms demonstrate the superiority and generalizability of the FRI algorithm. The FRI algorithm provides a new perspective for future decision probability conversion and reliability analysis of evidence sources.

Paper Structure

This paper contains 31 sections, 47 equations, 4 figures, 6 tables, 1 algorithm.

Figures (4)

  • Figure 1: TFNs of different classes
  • Figure 2: The values of four features of iris dataset samples
  • Figure 3: Triangular fuzzy numbers of different features of iris.
  • Figure 4: Comparison of classification accuracy between FRI and other algorithms on five data sets

Theorems & Definitions (3)

  • Example 1
  • Example 2
  • Example 3