{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T21:46:19Z","timestamp":1760132779577,"version":"build-2065373602"},"reference-count":28,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T00:00:00Z","timestamp":1700524800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003193","name":"Ministry of Education, Science, Research and Sport of the Slovak Republic","doi-asserted-by":"publisher","award":["VEGA 1\/0036\/23","VEGA 1\/0468\/20"],"award-info":[{"award-number":["VEGA 1\/0036\/23","VEGA 1\/0468\/20"]}],"id":[{"id":"10.13039\/501100003193","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100007059","name":"Palack\u00fd University, Olomouc","doi-asserted-by":"publisher","award":["IGA PrF0102023"],"award-info":[{"award-number":["IGA PrF0102023"]}],"id":[{"id":"10.13039\/501100007059","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>We introduce and discuss the concept of n-ary K-increasing fusion functions and n-ary K-increasing aggregation functions, K being a subset of the index set {1,\u2026,n} indicating in which variables a considered function is increasing. It is also assumed that this function is decreasing in all other variables. We show that each n-ary K-increasing aggregation function is generated by some aggregation function which enables us to introduce and study the properties of n-ary K-increasing aggregation functions related to the properties of their generating aggregation functions. In particular, we also discuss binary K-increasing aggregation functions, including fuzzy implication and complication functions, among others.<\/jats:p>","DOI":"10.3390\/axioms12121065","type":"journal-article","created":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T01:48:45Z","timestamp":1700531325000},"page":"1065","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["n-K-Increasing Aggregation Functions"],"prefix":"10.3390","volume":"12","author":[{"given":"Radko","family":"Mesiar","sequence":"first","affiliation":[{"name":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"},{"name":"Department of Algebra and Geometry, Faculty of Science, Palack\u00fd Univeristy Olomouc, 771 46 Olomouc, Czech Republic"}]},{"given":"Anna","family":"Koles\u00e1rov\u00e1","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3215-6195","authenticated-orcid":false,"given":"Adam","family":"\u0160eliga","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Radlinsk\u00e9ho 11, 810 05 Bratislava, Slovakia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6414-0892","authenticated-orcid":false,"given":"Radom\u00edr","family":"Hala\u0161","sequence":"additional","affiliation":[{"name":"Department of Algebra and Geometry, Faculty of Science, Palack\u00fd Univeristy Olomouc, 771 46 Olomouc, Czech Republic"}]}],"member":"1968","published-online":{"date-parts":[[2023,11,21]]},"reference":[{"key":"ref_1","unstructured":"Beliakov, G., Pradera, A., and Calvo, T. 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