How to measure non-specificity of intuitionistic fuzzy sets

Article type: Research Article

Authors: Song, Yafei | Wang, Xiaodan^* | Yu, Xiaodong | Zhang, Hailin | Lei, Lei

Affiliations: Air and Missile Defense College, Air Force Engineering University, Xi’an, PR China

Correspondence: [*] Corresponding author. Xiaodan Wang, Air and Missile Defense College, Air Force Engineering University, Xi’an, China. afeu_wang@163.com

Abstract: In this paper, we address the problem of how to measure non-specificity for intuitionistic fuzzy sets. This problem is relevant to the construction of intuitionistic fuzzy uncertainty measure. Although there already exist many uncertainty measures for intuitionistic fuzzy sets, few of them can discriminate uncertainty degrees of crisp sets. In order to construct a unified uncertainty measure for intuitionistic fuzzy sets, non-specificity must be taken into account. Starting from the Hartley measure, which is related to the cardinality of a crisp set, we propose a non-specificity measure for intuitionistic fuzzy sets. Properties of the proposed non-specificity measure are also investigated. Illustrative examples are employed to show its performance.

Keywords: Intuitionistic fuzzy sets, uncertainty measure, non-specificity measure

DOI: 10.3233/IFS-151685

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 2087-2097, 2015