{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T04:47:12Z","timestamp":1769834832542,"version":"3.49.0"},"reference-count":20,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,10]],"date-time":"2023-03-10T00:00:00Z","timestamp":1678406400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The purpose of the paper is to introduce the Jensen\u2013inaccuracy measure and examine its properties. Furthermore, some results on the connections between the inaccuracy and Jensen\u2013inaccuracy measures and some other well-known information measures are provided. Moreover, in three different optimization problems, the arithmetic mixture distribution provides optimal information based on the inaccuracy information measure. Finally, two real examples from image processing are studied and some numerical results in terms of the inaccuracy and Jensen\u2013inaccuracy information measures are obtained.<\/jats:p>","DOI":"10.3390\/e25030483","type":"journal-article","created":{"date-parts":[[2023,3,10]],"date-time":"2023-03-10T03:02:08Z","timestamp":1678417328000},"page":"483","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Jensen\u2013Inaccuracy Information Measure"],"prefix":"10.3390","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4176-9708","authenticated-orcid":false,"given":"Omid","family":"Kharazmi","sequence":"first","affiliation":[{"name":"Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718897111, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Faezeh","family":"Shirazinia","sequence":"additional","affiliation":[{"name":"Department of Statistics, Faculty of Mathematical Sciences, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718897111, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3569-4052","authenticated-orcid":false,"given":"Francesco","family":"Buono","sequence":"additional","affiliation":[{"name":"Dipartimento di Matematica e Applicazioni \u201cRenato Caccioppoli\u201d, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6772-5167","authenticated-orcid":false,"given":"Maria","family":"Longobardi","sequence":"additional","affiliation":[{"name":"Dipartimento di Biologia, Universit\u00e0 degli Studi di Napoli Federico II, 80138 Naples, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"379","DOI":"10.1002\/j.1538-7305.1948.tb01338.x","article-title":"A mathematical theory of communication","volume":"27","author":"Shannon","year":"1948","journal-title":"Bell Syst. 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