Abstract
The present paper deals with a new Dichotomous parametric exponential information gain function whose expected value yields new entropy functional. The notions of similarity index of order p and the rate of similarity for a sequence lying in a given closed interval is introduced and studied. It is established that for the dichotomous sequence lying between 0 and 1, the uncertainty decreases linearly with a constant rate. Moreover, the properties of this new entropy functional are studied and the findings are compared with the entropy functions defined by Shannon [1] and Pal and Pal [4, 5]. Finally, an application in medical diagnosis is also established using this new entropy functional.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
