{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,6]],"date-time":"2026-03-06T21:11:25Z","timestamp":1772831485174,"version":"3.50.1"},"reference-count":43,"publisher":"World Scientific Pub Co Pte Ltd","issue":"01","funder":[{"name":"Turkey Scientific and Technological Research Counci","award":["2211"],"award-info":[{"award-number":["2211"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Uncert. Sys."],"published-print":{"date-parts":[[2024,3]]},"abstract":"<jats:p> The concept of continuous function-valued [Formula: see text]-rung orthopair fuzzy set (CFV[Formula: see text]ROFS) represents an innovative framework within fuzzy set theory, where the assessment of an element\u2019s membership and nonmembership degrees is accomplished through continuous functions. This paper introduces a novel entropy measure for CFV[Formula: see text]ROFS, employing the Riemann integral. Furthermore, it outlines a theoretical framework for constructing a similarity measure based on entropy and presents a distance measure. The newly introduced entropy measure is used for weighting criteria and measuring the distance of the alternatives in decision-making processes. To illustrate the practical utility of these concepts, an extended Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS) is proposed and is employed to tackle a real-world problem previously addressed in the literature. The outcomes of this extended TOPSIS are compared with those given in existing studies, and a sensitivity analysis is performed concerning the variable [Formula: see text]. <\/jats:p>","DOI":"10.1142\/s1752890923500125","type":"journal-article","created":{"date-parts":[[2023,11,23]],"date-time":"2023-11-23T09:38:22Z","timestamp":1700732302000},"source":"Crossref","is-referenced-by-count":9,"title":["Information Measures for Continuous Function-Valued q-Rung Orthopair Fuzzy Sets and an Extended TOPSIS"],"prefix":"10.1142","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0857-1006","authenticated-orcid":false,"given":"Mehmet","family":"\u00dcnver","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Ankara University, Ankara 06100, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-8929-9669","authenticated-orcid":false,"given":"B\u00fc\u015fra","family":"Aydo\u011fan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Ankara University, Ankara 06100, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,1,4]]},"reference":[{"key":"S1752890923500125BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(65)90241-X"},{"key":"S1752890923500125BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/S0165-0114(86)80034-3"},{"key":"S1752890923500125BIB003","doi-asserted-by":"publisher","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"key":"S1752890923500125BIB004","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2604005"},{"key":"S1752890923500125BIB005","doi-asserted-by":"publisher","DOI":"10.1007\/s40815-023-01501-5"},{"key":"S1752890923500125BIB006","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"S1752890923500125BIB007","volume-title":"The Mathematical Theory of Communication","author":"Shannon C.","year":"1949"},{"key":"S1752890923500125BIB008","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(68)90078-4"},{"key":"S1752890923500125BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(72)90199-4"},{"key":"S1752890923500125BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2014.06.012"},{"key":"S1752890923500125BIB011","doi-asserted-by":"publisher","DOI":"10.3390\/e20110844"},{"key":"S1752890923500125BIB012","doi-asserted-by":"publisher","DOI":"10.1002\/int.21941"},{"key":"S1752890923500125BIB013","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-231454"},{"key":"S1752890923500125BIB014","volume-title":"Fuzzy Sets and Its Applications","author":"Wang P. Z.","year":"1983"},{"key":"S1752890923500125BIB015","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(92)90239-Z"},{"key":"S1752890923500125BIB016","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2012.11.012"},{"key":"S1752890923500125BIB017","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2023.110900"},{"key":"S1752890923500125BIB018","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-013-1035-5"},{"key":"S1752890923500125BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8655(01)00110-6"},{"key":"S1752890923500125BIB020","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2005.04.002"},{"key":"S1752890923500125BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.mcm.2010.07.022"},{"key":"S1752890923500125BIB022","doi-asserted-by":"publisher","DOI":"10.1002\/int.21965"},{"key":"S1752890923500125BIB023","doi-asserted-by":"publisher","DOI":"10.1007\/s40747-019-0105-4"},{"key":"S1752890923500125BIB024","doi-asserted-by":"publisher","DOI":"10.1134\/S1995080222120113"},{"key":"S1752890923500125BIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2023.107253"},{"key":"S1752890923500125BIB026","doi-asserted-by":"publisher","DOI":"10.15388\/21-INFOR460"},{"key":"S1752890923500125BIB027","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-48318-9_3"},{"key":"S1752890923500125BIB028","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2008.05.005"},{"key":"S1752890923500125BIB029","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2019.06.003"},{"key":"S1752890923500125BIB030","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-021-05945-5"},{"key":"S1752890923500125BIB031","doi-asserted-by":"publisher","DOI":"10.1111\/exsy.12609"},{"key":"S1752890923500125BIB032","doi-asserted-by":"publisher","DOI":"10.1007\/978-981-16-8656-6_23"},{"key":"S1752890923500125BIB033","first-page":"9339328","volume":"2022","author":"Huang C. N.","year":"2022","journal-title":"Math. Probl. Eng."},{"key":"S1752890923500125BIB034","doi-asserted-by":"publisher","DOI":"10.1155\/2022\/2501321"},{"key":"S1752890923500125BIB035","doi-asserted-by":"publisher","DOI":"10.1002\/int.22103"},{"key":"S1752890923500125BIB036","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2018.01.015"},{"key":"S1752890923500125BIB037","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-05294-9"},{"key":"S1752890923500125BIB038","doi-asserted-by":"publisher","DOI":"10.1007\/s40747-018-0087-7"},{"key":"S1752890923500125BIB039","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-05433-2"},{"key":"S1752890923500125BIB040","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2022.117472"},{"key":"S1752890923500125BIB041","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-182540"},{"key":"S1752890923500125BIB042","doi-asserted-by":"publisher","DOI":"10.1002\/int.21880"},{"key":"S1752890923500125BIB043","doi-asserted-by":"publisher","DOI":"10.1002\/int.22108"}],"container-title":["Journal of Uncertain Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S1752890923500125","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,12]],"date-time":"2024-03-12T03:42:39Z","timestamp":1710214959000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S1752890923500125"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,1,4]]},"references-count":43,"journal-issue":{"issue":"01","published-print":{"date-parts":[[2024,3]]}},"alternative-id":["10.1142\/S1752890923500125"],"URL":"https:\/\/doi.org\/10.1142\/s1752890923500125","relation":{},"ISSN":["1752-8909","1752-8917"],"issn-type":[{"value":"1752-8909","type":"print"},{"value":"1752-8917","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,1,4]]},"article-number":"2350012"}}