{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T21:13:51Z","timestamp":1774732431712,"version":"3.50.1"},"reference-count":54,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2025,5,4]],"date-time":"2025-05-04T00:00:00Z","timestamp":1746316800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Clustering plays a vital role in process mining as it organizes complex event logs into meaningful groups, helping to identify common patterns, outliers, and inefficiencies. This simplification enables organizations to detect bottlenecks and optimize workflows by uncovering trends and variations that might otherwise remain hidden. Fuzzy clustering addresses the challenge of overlapping behaviors, providing actionable insights for targeted improvements and enhanced operational efficiency. Nevertheless, conventional clustering algorithms for process mining focus either on activity sequences or cycle times, resulting in incomplete insights due to the neglect of temporal or structural variations. This work introduces a new fuzzy clustering methodology that incorporates both activity sequences and cycle times through a weighted distance metric. The proposed approach balances the weights of similarity in sequences as well as time variation flexibly using the parameter \u03b1, enabling clusters to represent both structural as well as performance-based process attributes. Through using fuzzy C-means clustering, the method allows cases to have multiple memberships with different membership degrees, providing flexibility regarding overlapping process behavior. An experimental evaluation using real-life event logs demonstrates the effectiveness of the method in discerning process variants. It yields superior results compared to conventional methods that account for only sequence-based clustering scenarios, as well as time-based clustering methods. The results describe the significant importance of optimizing clustering results by varying \u03b1, where a balanced weighting (\u03b1=0.5) gives more meaningful clusters. Ultimately, the framework enhances process mining by offering detailed insights for analyzing operational inefficiencies, bottlenecks, and resource allocation mismatches, providing substantial real-world benefits for industries that demand effective process improvement.<\/jats:p>","DOI":"10.3390\/axioms14050351","type":"journal-article","created":{"date-parts":[[2025,5,4]],"date-time":"2025-05-04T20:10:27Z","timestamp":1746389427000},"page":"351","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Fuzzy Clustering Based on Activity Sequence and Cycle Time in Process Mining"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3543-4012","authenticated-orcid":false,"given":"Onur","family":"Dogan","sequence":"first","affiliation":[{"name":"Department of Mathematics, University of Padua, 35131 Padua, Italy"},{"name":"Department of Management Information Systems, Izmir Bakircay University, 35665 Izmir, T\u00fcrkiye"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6006-5944","authenticated-orcid":false,"given":"Huna\u0131da","family":"Avvad","sequence":"additional","affiliation":[{"name":"Department of Management Information Systems, Izmir Bakircay University, 35665 Izmir, T\u00fcrkiye"}]}],"member":"1968","published-online":{"date-parts":[[2025,5,4]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Padella, A., de Leoni, M., Dogan, O., and Galanti, R. 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