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The incorporation of fuzzy systems holds potential for enhancing performance and efficiency within cloud computing. This study addresses a multi-objective problem wherein the goal is to maximize the interpretability and the percentage of renewable energy consumed by a fuzzy meta-scheduler system in cloud scenarios. To accomplish this objective, the present research proposes a novel approach utilizing a multi-objective Knowledge Acquisition with a Swarm Intelligence Approach algorithm. Additionally, it takes advantage of a framework built on CloudSim, which includes virtual machine migration capabilities based on an expert system. Furthermore, a hierarchical fuzzy system is employed to assess rule base interpretability, along with another multi-objective algorithm, named Non-dominated Sorting Genetic Algorithm II. The framework and hierarchical system are employed to perform various simulation results concerning renewable energy and interpretability, while the algorithms aim to enhance the system\u2019s performance and interpretability. Empirical results demonstrate that it is possible to improve the performance of cloud data centers while improving the interpretability of the corresponding fuzzy rule-based system. The proposed multi-objective algorithm shows comparable or superior performance to the genetic algorithm across diverse scenarios. The simulation results indicate that improvements in cloud data center performance can be achieved while enhancing system interpretability. The average improvement in the interpretability index ranges from 0.6 to 6%, with a corresponding increase in renewable energy utilization ranging from 5 to 6%.<\/jats:p>","DOI":"10.1007\/s00500-024-09950-2","type":"journal-article","created":{"date-parts":[[2024,7,24]],"date-time":"2024-07-24T09:05:27Z","timestamp":1721811927000},"page":"12043-12060","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Multi-objective optimization of virtual machine migration among cloud data centers"],"prefix":"10.1007","volume":"28","author":[{"ORCID":"https:\/\/orcid.org\/0009-0004-2841-4843","authenticated-orcid":false,"given":"Francisco Javier","family":"Maldonado Carrascosa","sequence":"first","affiliation":[]},{"given":"Doraid","family":"Seddiki","sequence":"additional","affiliation":[]},{"given":"Antonio","family":"Jim\u00e9nez S\u00e1nchez","sequence":"additional","affiliation":[]},{"given":"Sebasti\u00e1n","family":"Garc\u00eda Gal\u00e1n","sequence":"additional","affiliation":[]},{"given":"Manuel","family":"Valverde Ib\u00e1\u00f1ez","sequence":"additional","affiliation":[]},{"given":"Adam","family":"Marchewka","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2024,7,24]]},"reference":[{"issue":"18","key":"9950_CR1","doi-asserted-by":"publisher","first-page":"9287","DOI":"10.1007\/s00500-022-07245-y","volume":"26","author":"T Abbasi-khazaei","year":"2022","unstructured":"Abbasi-khazaei T, Rezvani MH (2022) Energy-aware and carbon-efficient vm placement optimization in cloud datacenters using evolutionary computing methods. 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