{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,16]],"date-time":"2026-05-16T12:10:12Z","timestamp":1778933412353,"version":"3.51.4"},"reference-count":54,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T00:00:00Z","timestamp":1778457600000},"content-version":"vor","delay-in-days":130,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"},{"start":{"date-parts":[[2026,1,1]],"date-time":"2026-01-01T00:00:00Z","timestamp":1767225600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Intelligent Systems"],"published-print":{"date-parts":[[2026,1]]},"abstract":"<jats:p>\n                    Cybersecurity tools are essential components in maintaining the security and integrity of information technology infrastructures. These tools shape themselves to prevent, detect, and respond to various security breaches, confirming the protection, confidentiality, and accessibility of data. Different tools are designed for specific functions in cybersecurity, such as safeguarding endpoints, overseeing network security, and examining risks and vulnerabilities. Each tool serves a distinct purpose in protecting systems and data. However, despite the availability of several tools, there is a lot of uncertainty and ambiguity when choosing the most effective cybersecurity tool. Therefore, the selection of a suitable cybersecurity tool is a multicriteria decision\u2010making (MCDM) problem. First, this manuscript develops the concept of a set termed as (\n                    <jats:italic>p<\/jats:italic>\n                    , \u2009\n                    <jats:italic>q<\/jats:italic>\n                    )\u2010fractional fuzzy sets, which is more flexible than the other extensions of fuzzy sets. After that, we develop a set of geometric fusing operators based on Aczel\u2013Alsina t\u2010norms in the framework of (\n                    <jats:italic>p<\/jats:italic>\n                    , \u2009\n                    <jats:italic>q<\/jats:italic>\n                    )\u2010fractional fuzzy sets, and some well\u2010known properties are also discussed. Furthermore, we introduced an innovative decision\u2010making model in the context of (\n                    <jats:italic>p<\/jats:italic>\n                    , \u2009\n                    <jats:italic>q<\/jats:italic>\n                    )\u2010fractional fuzzy Aczel\u2013Alsina geometric operators to select the most suitable cybersecurity tool for an organization. We also employed the anticipated model to tackle the challenges of pattern recognition within a (\n                    <jats:italic>p<\/jats:italic>\n                    , \u2009\n                    <jats:italic>q<\/jats:italic>\n                    )\u2010fractional fuzzy setting, resulting in impressive outcomes. In the end, we conducted a comparison between the inferred work and the existing research to confirm the superiority and advantages of the deduced work. The outcomes of the comparison indicate that the suggested method is suitable and dependable for the decision\u2010support model.\n                  <\/jats:p>","DOI":"10.1155\/int\/3223790","type":"journal-article","created":{"date-parts":[[2026,5,11]],"date-time":"2026-05-11T11:17:16Z","timestamp":1778498236000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Enhancing Artificial Intelligence With (\n                    <i>p<\/i>\n                    , \u2009\n                    <i>q<\/i>\n                    )\u2010Fractional Fuzzy Decision Model Using Aczel\u2013Alsina Operators"],"prefix":"10.1155","volume":"2026","author":[{"ORCID":"https:\/\/orcid.org\/0009-0005-5250-6059","authenticated-orcid":false,"family":"Saifullah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7474-5115","authenticated-orcid":false,"given":"Saleem","family":"Abdullah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Marya","family":"Nawaz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0007-2731-3890","authenticated-orcid":false,"given":"Saeed","family":"Ullah","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-4070-1365","authenticated-orcid":false,"given":"Hameed Gul","family":"Ahmadzai","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2026,5,11]]},"reference":[{"key":"e_1_2_16_1_2","doi-asserted-by":"publisher","DOI":"10.1140\/epjp\/s13360-024-04996-5"},{"key":"e_1_2_16_2_2","doi-asserted-by":"publisher","DOI":"10.1016\/0031-3203(90)90054-o"},{"key":"e_1_2_16_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2023.121660"},{"key":"e_1_2_16_4_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.aej.2023.09.073"},{"key":"e_1_2_16_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s40314-023-02204-1"},{"key":"e_1_2_16_6_2","doi-asserted-by":"publisher","DOI":"10.1155\/2024\/6503747"},{"key":"e_1_2_16_7_2","doi-asserted-by":"publisher","DOI":"10.1016\/s0019-9958(65)90241-x"},{"key":"e_1_2_16_8_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10462-024-10826-y"},{"key":"e_1_2_16_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2019.07.002"},{"key":"e_1_2_16_10_2","article-title":"Intuitionistic Fuzzy Sets","volume":"20","author":"Atanassov K.","year":"2016","journal-title":"International Journal Bioautomation"},{"key":"e_1_2_16_11_2","doi-asserted-by":"publisher","DOI":"10.1007\/s41066-017-0059-0"},{"key":"e_1_2_16_12_2","doi-asserted-by":"publisher","DOI":"10.3390\/math11183867"},{"key":"e_1_2_16_13_2","doi-asserted-by":"publisher","DOI":"10.1002\/int.22684"},{"key":"e_1_2_16_14_2","doi-asserted-by":"publisher","DOI":"10.1109\/tfuzz.2012.2189405"},{"key":"e_1_2_16_15_2","first-page":"119","article-title":"Properties and Applications of Pythagorean Fuzzy Sets","author":"Yager R. 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