Similarity measure for vague sets based on implication functions

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摘要

The similarity measure of vague sets is an important index in intelligent systems. Based on the implication function, this paper investigates the similarity measure of vague sets (or elements) and proposes new formulas to calculate the similarity measure of vague sets (or elements). A comparison with the existing similarity measures for vague sets and two applications show that our proposed method is reasonable and valid.

论文关键词:Vague set,Fuzzy set,Similarity measure,Implication function,Pattern recognition

论文评审过程:Received 10 April 2015, Revised 10 October 2015, Accepted 21 November 2015, Available online 26 November 2015, Version of Record 7 January 2016.

论文官网地址:https://doi.org/10.1016/j.knosys.2015.11.015