Fractional order entropy: New perspectives

Basit Öğe Kaydı
dc.authoridKarci, Ali/0000-0002-8489-8617
dc.authorwosidKARCI, Ali/A-9604-2019
dc.authorwosidKarci, Ali/AAG-5337-2019
dc.contributor.authorKarci, Ali
dc.date.accessioned2024-08-04T20:42:31Z
dc.date.available2024-08-04T20:42:31Z
dc.date.issued2016
dc.departmentİnönü Üniversitesien_US
dc.description.abstractThe entropy is a measurement of disorder or a measurement of heterogeneous information and it is known that amount of information cannot be negative. There are many methods about entropies by applied derivative to a probability distribution functions. In this paper, we applied fractional order derivative to probability distribution function, and this fractional order derivative is different than many of fractional order derivative methods in literature. Tsallis entropy was obtained by applying fractional order derivative methods in literature. In this paper, a new method for fractional order derivative was applied to probability distribution functions and two new definitions for entropy computation were obtained. One of them concludes in negative values for some cases, it is known that entropy cannot be negative, so. we selected the other definition (Definition 2) for entropy computation. The obtained new definition for entropy was applied to four probability distribution functions and obtained results were compared with Shannon entropies. The experimental results illustrated that the proposed method is superior to Shannon entropy method and the better entropy values were obtained for orders in interval (0.1). (C) 2016 Elsevier GmbH. All rights reserved.en_US
dc.identifier.doi10.1016/j.ijleo.2016.06.119
dc.identifier.endpage9177en_US
dc.identifier.issn0030-4026
dc.identifier.issn1618-1336
dc.identifier.issue20en_US
dc.identifier.scopus2-s2.0-84978238212en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage9172en_US
dc.identifier.urihttps://doi.org/10.1016/j.ijleo.2016.06.119
dc.identifier.urihttps://hdl.handle.net/11616/97409
dc.identifier.volume127en_US
dc.identifier.wosWOS:000394632900002en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevier Gmbhen_US
dc.relation.ispartofOptiken_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional calculusen_US
dc.subjectEntropyen_US
dc.subjectShannon entropyen_US
dc.subjectFractional order derivativeen_US
dc.titleFractional order entropy: New perspectivesen_US
dc.typeArticleen_US

Dosyalar

Koleksiyon

WoS İndeksli Yayınlar Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu