{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T15:20:08Z","timestamp":1753888808317,"version":"3.41.2"},"reference-count":52,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T00:00:00Z","timestamp":1716854400000},"content-version":"vor","delay-in-days":148,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100008867","name":"Department of Education of Zhejiang Province","doi-asserted-by":"publisher","award":["Y202250239"],"award-info":[{"award-number":["Y202250239"]}],"id":[{"id":"10.13039\/501100008867","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2024,1]]},"abstract":"<jats:p>Our research objective is to establish a fuzzy evaluation mechanism for rural village officials in China using the theory of triangular multiplication preference relationships. Our survey targets villagers in rural areas of China where village autonomy is implemented. The research methods include a questionnaire survey, Delphi, and fuzzy evaluation methods. After research analysis and comparison of results, it is shown that for the evaluation index system of village officials constructed using the Delphi method, practical evaluation of village officials can be achieved through fuzzy comprehensive evaluation based on triangular multiplication preference relationships. Using the Delphi technique, this article first created a village official assessment index system. It then performed validity tests based on the Kaiser\u2010Meyer\u2010Olkin (KMO) and Bartlett index system, as well as reliability testing using the Cronbach coefficient. Then, the preference relationship of triangular multiplication and the root product square method were used to determine the weight of the questionnaire indicators, and consistency was judged. Then, based on the membership function, the fuzzy boundaries of various indicators are displayed to construct a fuzzy evaluation matrix. Finally, the evaluation matrix is subjected to the Zadeh operation to obtain a fuzzy, comprehensive evaluation result of the work performance of village officials. Our main contribution is establishing an evaluation index system for village officials through the Delphi method and achieving a practical evaluation of village officials using triangular multiplication preference relationships and fuzzy evaluation theory.<\/jats:p>","DOI":"10.1155\/2024\/9195986","type":"journal-article","created":{"date-parts":[[2024,5,29]],"date-time":"2024-05-29T02:20:10Z","timestamp":1716949210000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Research on Fuzzy Evaluation of Village Officials Based on Triangular Multiplication Preference Relationship 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