The three dimensions IDC membership distance in vague sets

Chun-ying Zhang (), Min-jie Li and Feng-chun Liu
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Chun-ying Zhang: Hebei Polytechnic University
Min-jie Li: Beijing University of Civil Engineering and Architecture
Feng-chun Liu: Hebei Polytechnic University

Fuzzy Information and Engineering, 2010, vol. 2, issue 3, 313-322

Abstract: Abstract Based on the dynamic tendency of vague sets and the three-dimension of element membership to a vague set, a method of comparing the two vague sets is put forward by means of set pair analysis. First, according to the positive, negative and uncertain membership of vague sets, the identical discrepancy contrary and weight identical discrepancy contrary membership of vague set are defined; then, their distance is defined between vague sets; last, the identical discrepancy contrary membership distance between vague sets are applied to pattern recognition, which testifies the validity and simplicity of this method.

Keywords: Vague sets; IDC membership distance; Set pair analysis (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/s12543-010-0053-6

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