Evaluating evidence reliability based on intuitionistic fuzzy MCDM model

Article type: Research Article

Authors: Li, Xiaonan^a | Song, Yafei^{b; *} | Quan, Wen^b

Affiliations: [a] School of Business, NanKai University, Tianjin, PR China | [b] Air Force Engineering University, Xi’an, PR China

Correspondence: [*] Corresponding author. Yafei Song, Air Force Engineering University, Xi’an 710051, PR China. Tel.: +86 13488130880; Fax: +86 029 84789432; E-mail: [email protected].

Abstract: In this paper, the combination of unreliable evidence sources is considered based on multiple criteria decision making (MCDM) model in intuitionistic fuzzy environment. In the intuitionistic fuzzy MCDM framework, evidence sources can be evaluated based on the ranking method between intuitionistic fuzzy numbers. A generalized discounting operation on unreliable evidence bodies is firstly proposed to deal with uncertain reliability factors. Then we mainly investigate the evaluation evidence reliability factors without prior knowledge. Our proposed evaluation method is based on the principle of self-assessment. It is implemented by the probabilistic comparison between intuitionistic fuzzy values. Our proposed evaluation method is independent to the dissimilarity measure between basic probability assignments represented by an evidential distance. Numerical examples demonstrate the performance of our proposed reliability evaluation method.

Keywords: Dempster-Shafer theory of evidence, intuitionistic fuzzy set, multiple criteria decision making (MCDM), reliability evaluation

DOI: 10.3233/IFS-162181

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 3, pp. 1167-1182, 2016