Sequence of inequalities among fuzzy mean difference divergence measures and their applications

被引：5
|
作者：
Tomar, Vijay Prakash [1 ]
Ohlan, Anshu [1 ]
机构：
[1] Deenbandhu Chhotu Ram Univ Sci & Technol, Dept Math, Murthal 131039, Haryana, India
来源：
SPRINGERPLUS | 2014年 / 3卷
关键词：
Pattern recognition; Fuzzy entropy; Fuzzy divergence measure; Inequalities; Fuzzy mean difference divergence measures;
D O I：
10.1186/2193-1801-3-623
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper presents a sequence of fuzzy mean difference divergence measures. The validity of these fuzzy mean difference divergence measures is proved axiomatically. In addition, it introduces a sequence of inequalities among some of these fuzzy mean difference divergence measures. The applications of proposed fuzzy mean difference divergence measures in the context of pattern recognition have been presented using a numerical example. It is shown that the proposed fuzzy mean difference divergence measures are well suited to use with linguistic variables. Finally, on establishing inequalities, we find that our proposed measures are computationally much more efficient.
引用
收藏
页数：20
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