Abstract

Fuzzy integrated optimization refers to the application of fuzzy logic techniques in the optimization process to handle uncertain or imprecise information effectively. In traditional optimization problems, precise data and deterministic relationships are assumed. This paper proposes the construction of a teaching system for music education in colleges and universities based on fuzzy integrated optimization. Fuzzy logic techniques are applied to handle uncertain or imprecise information inherent in the optimization process. traditional optimization methods that assume precise data and deterministic relationships, fuzzy integrated optimization allows for the modeling of uncertainties in music education settings. By incorporating fuzzy logic into the design of the teaching system, educators can better adapt to the diverse learning needs and preferences of students. The implementation of the teaching system for music education in colleges and universities based on fuzzy integrated optimization yielded significant improvements across various performance metrics. Student engagement levels increased by an average of 25%, with a corresponding rise in satisfaction rates by 30%. Additionally, learning outcomes showed measurable enhancements, with a 20% increase in average test scores compared to traditional teaching methods. The adaptive nature of the teaching system resulted in a 15% reduction in dropout rates, indicating improved student retention and progression through music education programs. Educators reported a 40% increase in efficiency in lesson planning and delivery, attributed to the system's ability to provide personalized recommendations and insights tailored to individual student needs. 

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