Sequence of inequalities among fuzzy mean difference divergence measures and their applications.
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.
Department of Mathematics, Deenbandhu Chhotu Ram University of Science & Technology, Murthal, 131039 Haryana India.
Vijay Prakash
VP
Tomar
Department of Mathematics, Deenbandhu Chhotu Ram University of Science & Technology, Murthal, 131039 Haryana India.
Anshu
A
Ohlan
Fuzzy divergence measure; Fuzzy entropy; Fuzzy mean difference divergence measures; Inequalities; Pattern recognition