{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,8]],"date-time":"2025-12-08T22:00:36Z","timestamp":1765231236623,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2021,10,13]],"date-time":"2021-10-13T00:00:00Z","timestamp":1634083200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004663","name":"Ministry of Science and Technology","doi-asserted-by":"publisher","award":["MOST 108-2221-E-155-013"],"award-info":[{"award-number":["MOST 108-2221-E-155-013"]}],"id":[{"id":"10.13039\/501100004663","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In the literature, the powers of a square fuzzy matrix with respect to the max-weighted power mean composition have been shown to always converge. This study considers the max-weighted power mean composition for a sequence of fuzzy matrices. It reveals that the repeated compositions of a sequence of n fuzzy matrices oscillate among n fuzzy matrices once the number of compositions exceeds a certain threshold. The previous finding can be considered as a special case of this study with n = 1.<\/jats:p>","DOI":"10.3390\/axioms10040254","type":"journal-article","created":{"date-parts":[[2021,10,13]],"date-time":"2021-10-13T21:36:15Z","timestamp":1634160975000},"page":"254","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Oscillation of Repeated Max-Weighted Power Mean Compositions of Fuzzy Matrices"],"prefix":"10.3390","volume":"10","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6844-1182","authenticated-orcid":false,"given":"Jun-Lin","family":"Lin","sequence":"first","affiliation":[{"name":"Department of Information Management, Yuan Ze University, Taoyuan 32003, Taiwan"},{"name":"ZDT Group\u2014Yuan Ze University Joint R&D Center for Big Data, Yuan Ze University, Taoyuan 32003, Taiwan"},{"name":"Innovation Center for Big Data and Digital Convergence, Yuan Ze University, Taoyuan 32003, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Laksamee","family":"Khomnotai","sequence":"additional","affiliation":[{"name":"Faculty of Management Science, Nakhon Ratchasima Rajabhat University, Nakhon Ratchasima 30000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hsin-Chieh","family":"Liu","sequence":"additional","affiliation":[{"name":"Department of Information Management, Yuan Ze University, Taoyuan 32003, Taiwan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2021,10,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/S0165-0114(00)00140-8","article-title":"Note on \u201cConvergence of powers of a fuzzy matrix\u201d","volume":"121","author":"Buckley","year":"2001","journal-title":"Fuzzy Sets Syst."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/0020-0255(93)90115-3","article-title":"Convergence of powers of reciprocal fuzzy matrices","volume":"75","author":"Kolodziejczyk","year":"1993","journal-title":"Inf. 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