Fuzzy information inequalities and application in pattern recognition

Sapna Gahlot and Ram Naresh Saraswat

International Journal of Mathematics in Operational Research, 2022, vol. 23, issue 4, 456-480

Abstract: In mathematics, an inequality is a relation that compares two numbers or other mathematical expressions in a non-equal way. Inequalities play an important role in finding relationships and solving real-life problems. Although there are many fuzzy inequalities exist in the literature, which are unable to provide solutions for specific cases. The prime objective of this paper is to establish new fuzzy information inequalities under Jensen's inequality and Csiszar's f-fuzzy divergence measure. A new fuzzy relative information of type k and its cases is proposed. Using the proposed fuzzy inequalities, some new bounds of well-known fuzzy information divergence measures in terms of fuzzy chi-square measure, fuzzy Kullback-Leibler measure and fuzzy Hellinger measure are obtained. The direct applications of the proposed fuzzy inequalities in pattern recognition is discussed in this paper. Fuzzy information inequalities also play an important role in medical diagnosis, decision making, etc. and can be extended to Chebyshev's inequality, holder's inequality, and so on, and by this we can solve any other real-life related issues. It is a more convenient and reliable method than others.

Keywords: fuzzy set; fuzzy f -measures; inequalities; pattern recognition. (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=127731 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijmore:v:23:y:2022:i:4:p:456-480

Access Statistics for this article

More articles in International Journal of Mathematics in Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().