{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:10:42Z","timestamp":1760148642584,"version":"build-2065373602"},"reference-count":34,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2023,5,26]],"date-time":"2023-05-26T00:00:00Z","timestamp":1685059200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Science Centre","award":["2021\/41\/B\/HS4\/01296"],"award-info":[{"award-number":["2021\/41\/B\/HS4\/01296"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Information"],"abstract":"<jats:p>In this study we propose a measure of the entropy of the norm (R, S) for q-row orthopair fuzzy sets (qROFS). The proposed entropy measure is validated both theoretically and practically to ensure validity. We also propose a simple methodology for the purpose of solving a multi-criteria decision-analysis problems using the introduced entropy measure. This method takes into account different circumstances of criteria weights, such as unknown weights, as well as other cases when the weights are not fully known. Finally, a demonstration with numerical examples for the proposed entropy has been provided to show how to apply the novel methodologies.<\/jats:p>","DOI":"10.3390\/info14060304","type":"journal-article","created":{"date-parts":[[2023,5,27]],"date-time":"2023-05-27T16:17:33Z","timestamp":1685204253000},"page":"304","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Biparametric Q Rung Orthopair Fuzzy Entropy Measure for Multi Criteria Decision Making Problem"],"prefix":"10.3390","volume":"14","author":[{"given":"Gitesh","family":"Suri","sequence":"first","affiliation":[{"name":"Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, Himachal Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2110-7774","authenticated-orcid":false,"given":"Heorhii","family":"Svitenko","sequence":"additional","affiliation":[{"name":"Department of Software Engineering, Kharkiv National University of Radio Electronics, Nauky Ave. 14, 61166 Kharkiv, Ukraine"},{"name":"Research Team on Intelligent Decision Support Systems, Department of Artificial Intelligence and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, 71-210 Szczecin, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8756-0833","authenticated-orcid":false,"given":"Abhishek","family":"Guleria","sequence":"additional","affiliation":[{"name":"Department of Physical Sciences & Languages, Chaudhary Sarwan Kumar Himachal Pradesh Krishi Vishvavidyalaya (CSKHPKV), Palampur 176061, Himachal Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Neeraj","family":"Gandotra","sequence":"additional","affiliation":[{"name":"Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, Himachal Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Namita","family":"Saini","sequence":"additional","affiliation":[{"name":"Yogananda School of AI, Computer and Data Sciences, Shoolini University, Solan 173229, Himachal Pradesh, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7076-2519","authenticated-orcid":false,"given":"Wojciech","family":"Sa\u0142abun","sequence":"additional","affiliation":[{"name":"Research Team on Intelligent Decision Support Systems, Department of Artificial Intelligence and Applied Mathematics, Faculty of Computer Science and Information Technology, West Pomeranian University of Technology, 71-210 Szczecin, Poland"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Zadeh, L.A., Klir, G.J., and Yuan, B. 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