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模糊聚類分析在獎學金評定中的應用
摘 要
近幾年來，獎學金的評定工作成為高校學生工作的1個重要組成部分。在實施過程中，科學、完善的評價體系起著重要的作用。在現行的各種獎學金評定中主要采用的是傳統的總分或平均分排名法，這兩種方法都因專業、年級、考試試題的深度和難度及評卷教師不同，帶來較多的不合理性。本文分析了目前學生獎學金評定方法中所存在的問題，對當前獎學金的評定方法進行改進，從極值標準化入手，確定模糊評定等級、隸屬度函數、權重集，運用夾角余弦法建立模糊相似矩陣再改造為等價矩陣，最后進行聚類分析。克服了上述不合理性，取得了比較滿意的結果。并與總分平均分法比較，闡明了前者比后者更有利于客觀地評定出優秀學生，調動學生的學習積極性。從而使得獎學金的評定工作更趨于科學化、合理化。
關鍵詞：獎學金評定；模糊聚類分析；夾角余弦法；模糊相似矩陣；
Abstract
In the resent years, the evaluation work of undergraduate scholarship is an important component of the students work. In the course of implementing, scientific, perfect appraisal systems play an important role. But in the evaluation of scholarships of different schools, the traditional evaluation is ranking students on the base of their total or average points brings much unreasonableness due to different majors grades curricula, the depth and difficulty of tests as well as marking teachers. This paper analyses the issues which exit in the evaluation work of undergraduate of issue. Starting from extremum standardization, the article defines ranks of fuzzy evaluation, subordinate function, weight sets, it establishes fuzzy similar matrices by applying angle cosine and changing them into equivalent matrices, then it makes cluster analysis. The produce overcomes the above mentioned unreasonableness and obtains satisfactory results. Moreover, it compare with total score and average score what the former is more advantage with judgment model students and bring activeness of students. In order to improve the method and make the judgment of scholarship more scientific and quantitative.
Keywords: scholarship judgment; fuzzy clustering analysis; angle cosine; fuzzy similar matrices;
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