{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:57:38Z","timestamp":1753887458893,"version":"3.41.2"},"reference-count":41,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,8,26]],"date-time":"2021-08-26T00:00:00Z","timestamp":1629936000000},"content-version":"vor","delay-in-days":237,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100006261","name":"Taif University","doi-asserted-by":"publisher","id":[{"id":"10.13039\/501100006261","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>A complex q\u2010rung orthopair fuzzy set (CQROFS) is one of the useful tools to handle the uncertainties in the data. The main characteristic of the CQROFS is that it handles the imprecise information in the data using the membership degrees such that the sum of the q\u2010powers of the real parts (also for imaginary parts) of the membership and nonmembership degrees is restricted to the unit interval. Keeping the highlights of this set, in this study, we manifested some new logarithmic operational laws (LOLs) between the pairs of the CQROFSs and investigated their properties. Also, by using these proposed laws, we stated several averaging and geometric operators, namely, logarithmic complex q\u2010rung orthopair fuzzy weighted averaging (LCQROFWA) and logarithmic complex q\u2010rung orthopair fuzzy weighted geometric (LCQROFWG) operators and hence stated their fundamental properties. Later on, based on the suggested operators, a multiattribute decision\u2010making (MADM) algorithm is acted to solve the decision\u2010making problems. A numerical example has been considered to illustrate the approach and compare their obtained results with several of the existing studies\u2019 results. Finally, the advantages of the suggested algorithms and operators are presented.<\/jats:p>","DOI":"10.1155\/2021\/5540529","type":"journal-article","created":{"date-parts":[[2021,8,26]],"date-time":"2021-08-26T22:50:12Z","timestamp":1630018212000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["New Logarithmic Operational Laws\u2010Based Complex q\u2010Rung Orthopair Fuzzy Aggregation Operators and Their Application in Decision\u2010Making Process"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9099-8422","authenticated-orcid":false,"given":"Harish","family":"Garg","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zeeshan","family":"Ali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3871-3845","authenticated-orcid":false,"given":"Tahir","family":"Mahmood","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sultan","family":"Aljahdali","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2078-6285","authenticated-orcid":false,"given":"Habib","family":"Shah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2021,8,26]]},"reference":[{"key":"e_1_2_10_1_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22406"},{"key":"e_1_2_10_2_2","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Atanassov K.","year":"2016","journal-title":"International Journal Bioautomation"},{"key":"e_1_2_10_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"e_1_2_10_4_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7908-1870-3_2"},{"key":"e_1_2_10_5_2","first-page":"15","article-title":"Some induced generalized Einstein aggregating operators and their application to group decision-making problem using intuitionistic fuzzy numbers","volume":"3","author":"Rahman K.","year":"2020","journal-title":"Annals of Optimization Theory & Practices"},{"key":"e_1_2_10_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21538"},{"key":"e_1_2_10_7_2","first-page":"51","article-title":"An algorithm for an improved intuitionistic fuzzy correlation measure with medical diagnostic application","volume":"3","author":"Ejegwa P. A.","year":"2020","journal-title":"Annals of Optimization Theory & Practices"},{"key":"e_1_2_10_8_2","first-page":"49","article-title":"Decision making under intuitionistic fuzzy metric distances","volume":"3","author":"Bhattacharya K.","year":"2020","journal-title":"Annals of Optimization Theory & Practices"},{"key":"e_1_2_10_9_2","doi-asserted-by":"crossref","unstructured":"YagerR. R. Pythagorean fuzzy subsets Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA\/NAFIPS) June 2013 Edmonton Canada IEEE 57\u201361.","DOI":"10.1109\/IFSA-NAFIPS.2013.6608375"},{"key":"e_1_2_10_10_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12559-020-09781-x"},{"key":"e_1_2_10_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-021-10002-6"},{"key":"e_1_2_10_12_2","first-page":"113","article-title":"Fuzzy multicriteria decision making in medical diagnosis using an advanced distance measure on linguistic Pythagorean fuzzy sets","volume":"3","author":"Talukdar P.","year":"2020","journal-title":"Annals of Optimization Theory & Practices"},{"key":"e_1_2_10_13_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00500-020-05193-z"},{"key":"e_1_2_10_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22043"},{"key":"e_1_2_10_15_2","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-190043"},{"key":"e_1_2_10_16_2","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2604005"},{"key":"e_1_2_10_17_2","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-04859-x"},{"key":"e_1_2_10_18_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.21927"},{"key":"e_1_2_10_19_2","first-page":"3741","article-title":"Multiple-attribute group decision-making based on q-rung orthopair fuzzy power Maclaurin symmetric mean operators","volume":"50","author":"Liu P.","year":"2020","journal-title":"IEEE Transactions on Systems, Man, and Cybernetics: Systems"},{"key":"e_1_2_10_20_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22313"},{"key":"e_1_2_10_21_2","doi-asserted-by":"publisher","DOI":"10.1063\/1.4757515"},{"key":"e_1_2_10_22_2","doi-asserted-by":"publisher","DOI":"10.1109\/91.995119"},{"key":"e_1_2_10_23_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22271"},{"key":"e_1_2_10_24_2","doi-asserted-by":"publisher","DOI":"10.1155\/2019\/3246439"},{"key":"e_1_2_10_25_2","doi-asserted-by":"publisher","DOI":"10.3233\/jifs-200789"},{"key":"e_1_2_10_26_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-019-09772-x"},{"key":"e_1_2_10_27_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22361"},{"key":"e_1_2_10_28_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40747-019-0103-6"},{"key":"e_1_2_10_29_2","doi-asserted-by":"publisher","DOI":"10.3390\/mca24030073"},{"key":"e_1_2_10_30_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12190-020-01329-4"},{"key":"e_1_2_10_31_2","article-title":"Complex q-rung orthopair fuzzy aggregation operators and their applications in multi-attribute group decision making","volume":"11","author":"Liu P.","year":"2020","journal-title":"Information"},{"key":"e_1_2_10_32_2","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-210442"},{"key":"e_1_2_10_33_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2006.890678"},{"key":"e_1_2_10_34_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ins.2019.11.035"},{"key":"e_1_2_10_35_2","doi-asserted-by":"publisher","DOI":"10.3390\/math8101739"},{"key":"e_1_2_10_36_2","doi-asserted-by":"publisher","DOI":"10.3390\/e22030318"},{"key":"e_1_2_10_37_2","doi-asserted-by":"publisher","DOI":"10.1007\/s12652-021-03181-1"},{"key":"e_1_2_10_38_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.cie.2018.11.029"},{"key":"e_1_2_10_39_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2020.114311"},{"key":"e_1_2_10_40_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.inffus.2021.04.006"},{"key":"e_1_2_10_41_2","first-page":"47","article-title":"Geometric operators based on linguistic interval-valued intuitionistic neutrosophic fuzzy number and their application in decision making","volume":"3","author":"Fahmi A.","year":"2020","journal-title":"Annals of Optimization Theory & Practices"}],"container-title":["Complexity"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5540529.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/complexity\/2021\/5540529.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/2021\/5540529","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,9]],"date-time":"2024-08-09T22:04:34Z","timestamp":1723241074000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/2021\/5540529"}},"subtitle":[],"editor":[{"given":"Zhen","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":41,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1155\/2021\/5540529"],"URL":"https:\/\/doi.org\/10.1155\/2021\/5540529","archive":["Portico"],"relation":{},"ISSN":["1076-2787","1099-0526"],"issn-type":[{"type":"print","value":"1076-2787"},{"type":"electronic","value":"1099-0526"}],"subject":[],"published":{"date-parts":[[2021,1]]},"assertion":[{"value":"2021-02-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-07-20","order":2,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"2021-08-26","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}],"article-number":"5540529"}}