{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,22]],"date-time":"2025-07-22T10:47:55Z","timestamp":1753181275724},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Open Syst. Inf. Dyn."],"published-print":{"date-parts":[[2020,6]]},"abstract":"<jats:p> The aim of this study is to extend the results concerning the Shannon entropy and Kullback\u2013Leibler divergence in sequential effect algebra to the case of R\u00e9nyi entropy and R\u00e9nyi divergence. For this purpose, the R\u00e9nyi entropy of finite partitions in sequential effect algebra and its conditional version are proposed and the basic properties of these entropy measures are derived. In addition, the notion of R\u00e9nyi divergence of a partition in sequential effect algebra is introduced and the basic properties of this quantity are studied. In particular, it is proved that the Kullback\u2013Leibler divergence and Shannon\u2019s entropy of partitions in a given sequential effect algebra can be obtained as limits of their R\u00e9nyi divergence and R\u00e9nyi entropy respectively. Finally, to illustrate the results, some numerical examples are presented. <\/jats:p>","DOI":"10.1142\/s1230161220500080","type":"journal-article","created":{"date-parts":[[2020,8,31]],"date-time":"2020-08-31T11:05:42Z","timestamp":1598871942000},"page":"2050008","source":"Crossref","is-referenced-by-count":1,"title":["R\u00e9nyi Entropy and R\u00e9nyi Divergence in Sequential Effect Algebra"],"prefix":"10.1142","volume":"27","author":[{"given":"Zahra Eslami","family":"Giski","sequence":"first","affiliation":[{"name":"Young Researchers and Elite Club, Sirjan Branch, Islamic Azad University, Sirjan, Iran"}]}],"member":"219","published-online":{"date-parts":[[2020,8,28]]},"reference":[{"key":"p_1","doi-asserted-by":"publisher","DOI":"10.1002\/andp.18652010702"},{"key":"p_2","first-page":"373","volume":"76","author":"Boltzmann L.","year":"1877","journal-title":"Wiener Berichte"},{"key":"p_4","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"p_5","doi-asserted-by":"publisher","DOI":"10.1007\/BF01646743"},{"key":"p_7","doi-asserted-by":"publisher","DOI":"10.1016\/S0303-2647(99)00077-5"},{"key":"p_8","doi-asserted-by":"publisher","DOI":"10.1007\/s10773-011-0859-y"},{"key":"p_9","doi-asserted-by":"publisher","DOI":"10.1016\/j.jtbi.2016.12.010"},{"key":"p_10","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2013.08.071"},{"key":"p_11","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2017.04.164"},{"key":"p_12","doi-asserted-by":"publisher","DOI":"10.1007\/s00220-011-1282-1"},{"key":"p_13","first-page":"547","volume":"1","author":"R\u00e9nyi A.","year":"1961","journal-title":"Berkeley"},{"key":"p_14","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2012.2192713"},{"key":"p_15","doi-asserted-by":"publisher","DOI":"10.3390\/ecea-4-05030"},{"key":"p_16","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2019.01.039"},{"key":"p_17","doi-asserted-by":"publisher","DOI":"10.1016\/j.physa.2015.03.083"},{"key":"p_18","doi-asserted-by":"publisher","DOI":"10.1016\/S0034-4877(19)30052-7"},{"key":"p_19","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8121\/aa8a11"},{"key":"p_20","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2008.09.016"},{"key":"p_21","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2012.11.022"},{"key":"p_22","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevB.91.174307"},{"key":"p_23","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/9\/095303"},{"key":"p_24","doi-asserted-by":"publisher","DOI":"10.1088\/0031-8949\/84\/05\/057001"},{"key":"p_25","doi-asserted-by":"publisher","DOI":"10.1007\/BF02283036"},{"key":"p_27","doi-asserted-by":"publisher","DOI":"10.1063\/1.1407837"},{"key":"p_28","doi-asserted-by":"publisher","DOI":"10.1016\/S0034-4877(02)80007-6"},{"key":"p_29","first-page":"20","volume":"12","author":"Eslami Giski Z.","year":"2015","journal-title":"Cankaya Univ. 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