{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T13:54:33Z","timestamp":1777643673889,"version":"3.51.4"},"reference-count":58,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2022,5,29]],"date-time":"2022-05-29T00:00:00Z","timestamp":1653782400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"King Khalid University","award":["GRP\/93\/43"],"award-info":[{"award-number":["GRP\/93\/43"]}]},{"name":"King Khalid University","award":["APVV-18-0052"],"award-info":[{"award-number":["APVV-18-0052"]}]},{"name":"School of Science, University of Phayao","award":["GRP\/93\/43"],"award-info":[{"award-number":["GRP\/93\/43"]}]},{"name":"School of Science, University of Phayao","award":["APVV-18-0052"],"award-info":[{"award-number":["APVV-18-0052"]}]},{"DOI":"10.13039\/501100005357","name":"Slovak Research and Development Agency","doi-asserted-by":"publisher","award":["GRP\/93\/43"],"award-info":[{"award-number":["GRP\/93\/43"]}],"id":[{"id":"10.13039\/501100005357","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100005357","name":"Slovak Research and Development Agency","doi-asserted-by":"publisher","award":["APVV-18-0052"],"award-info":[{"award-number":["APVV-18-0052"]}],"id":[{"id":"10.13039\/501100005357","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>When dealing with the haziness that is intrinsic in decision analysis-driven decision making procedures, interval-valued intuitionistic fuzzy sets (IVIFSs) can be quite effective. Our approach to solving the multiple attribute decision making (MADM) difficulties, where all of the evidence provided by the decision-makers is demonstrated as interval-valued intuitionistic fuzzy (IVIF) decision matrices, in which all of the components are distinguished by an IVIF number (IVIFN), is based on Aczel\u2013Alsina operational processes. We begin by introducing novel IVIFN operations including the Aczel\u2013Alsina sum, product, scalar multiplication, and exponential. We may then create IVIF aggregation operators, such as the IVIF Aczel\u2013Alsina weighted geometric operator, the IVIF Aczel\u2013Alsina ordered weighted geometric operator, and the IVIF Aczel\u2013Alsina hybrid geometric operator, among others. We present a MADM approach that relies on the IVIF aggregation operators that have been developed. A case study is used to demonstrate the practical applicability of the strategies proposed in this paper. By contrasting the newly developed technique with existing techniques, the method is capable of demonstrating the advantages of the newly developed approach. A key result of this work is the discovery that some of the current IVIF aggregation operators are subsets of the operators reported in this article.<\/jats:p>","DOI":"10.3390\/axioms11060258","type":"journal-article","created":{"date-parts":[[2022,5,29]],"date-time":"2022-05-29T08:50:51Z","timestamp":1653814251000},"page":"258","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":59,"title":["Analysis of Interval-Valued Intuitionistic Fuzzy Aczel\u2013Alsina Geometric Aggregation Operators and Their Application to Multiple Attribute Decision-Making"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0399-7486","authenticated-orcid":false,"given":"Tapan","family":"Senapati","sequence":"first","affiliation":[{"name":"Department of Mathematics, Padima Janakalyan Banipith, Kukrakhupi 721517, India"},{"name":"School of Mathematics and Statistics, Southwest University, Beibei, Chongqing 400715, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Radko","family":"Mesiar","sequence":"additional","affiliation":[{"name":"Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, Sk-810 05 Bratislava, Slovakia"},{"name":"Department Algebra & Geometry, Faculty of Science, Palacky University Olomouc, 17 Listopadu 12, 77146 Olomouc, Czech Republic"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5709-3744","authenticated-orcid":false,"given":"Vladimir","family":"Simic","sequence":"additional","affiliation":[{"name":"Department of Transport and Traffic Engineering, University of Belgrade, Vojvode Stepe 305, 11010 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0475-3320","authenticated-orcid":false,"given":"Aiyared","family":"Iampan","sequence":"additional","affiliation":[{"name":"Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6113-3689","authenticated-orcid":false,"given":"Ronnason","family":"Chinram","sequence":"additional","affiliation":[{"name":"Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Rifaqat","family":"Ali","sequence":"additional","affiliation":[{"name":"Department of Mathematics, College of Science and Arts, Muhayil, King Khalid University, Abha 61413, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,5,29]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","article-title":"Intuitionistic fuzzy sets","volume":"20","author":"Attanassov","year":"1986","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"343","DOI":"10.1016\/0165-0114(89)90205-4","article-title":"Interval valued intuitionistic fuzzy sets","volume":"31","author":"Atanassov","year":"1989","journal-title":"Fuzzy Sets Syst."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"487","DOI":"10.1109\/TFUZZ.2011.2177271","article-title":"Aggregation for Atanassov\u2019s intuitionistic and interval valued fuzzy sets: The median operator","volume":"20","author":"Beliakov","year":"2012","journal-title":"IEEE Trans. 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