臺灣博碩士論文加值系統

習慣領域是由知識,想法,技巧等所形成的.當我們面對問題之際,就是利用
這些知識,想法,技巧等來幫助我們解決問題.在經過一段的時間,除非我們
刻意的去學習新事物,否則我們的知識,想法,技巧等將逐漸穩定而局限於
某一範圍之內.如此一來,當面對一超乎我們習慣領域所能解決的問題時,
如何有效的來拓展我們的習慣領域,使得此一問題能順利的解決,是我們在
此篇研究論文中所要探討的.至今,游伯龍教授以及黎漢林教授等等,已建
立了一套拓展習慣領域的數學模式之架構.其中有利用最小生成樹,或整數
規劃等方法來處理能力集的拓展.然而,我們基於能力本身的界定常具有不
確定性,故引進糢糊集合的概念,並以此來分析能力的狀況.此外,我們觀察
人們受教育的學習過程,認為能力的學習以循序漸近的方式較具成效,故我
們引進基礎能力的概念來做為建立整個能力集拓展模式的基本精神.本文
分為六章,第一章介紹提要.第二章則作文獻回顧.在第三章中則介紹我們
所提出的能力集拓展模式.在第四章中,我們提出一演算法以求得所提的能
力集拓展模式之最佳解.在第五章中,我們以一例子來說明如何利用我們所
提的能力集拓展模式和求其解的演算法來幫助我們找到最佳的學習路徑.
在最後一章中我們作一總結,並且對未來可能接續之探討提出部份的論述.

Competence set, which is a Habitual Domain (HD), is a
collection of knowledge, idea, and skills. When we face a
problem, we use these knowledge, idea and skills to help us to
solve the problem. Over time unless we pay special effort to
acquire new knowledge, our competence set will be stablized in
a certain domain. When we face a problem which beyonds our
current competence set (CS), how can we expand our CS
effectively so that we can solve the problem effectively is the
focus of this study. Yu and Zhang, Yu and Li have developed
expansion models of CS, by an Minimun Spanning Tree and Integer
Programming methods respectively to find the optimal expansion
process. Because of the fact that vague boundaries of
competence set usually exist in practice, we introduce fuzzy
set theory to handle this problem. We observe that in schools
students, knowledge or competences are obtained in certain
order. This observation leads us to use a new concept of
background competences to construct a competence set expansion
model, of which the level of impact are discussed. Finally, a
systematic process to model competence expansion is presented.
With an illustrative example, a solution procedure is
developed to find the optimal expansion path.