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Published on: March 1, 2022
Sequence of inequalities among fuzzy mean difference divergence measures and their applications
Vijay Prakash Tomar1, Anshu Ohlan1
1Department of Mathematics, Deenbandhu Chhotu Ram University of Science & Technology, Murthal, 131039 Haryana India.
Abstract:
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.
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