- 學位論文
相似關係為主的模糊關聯式資料庫模式
Similarity-Relationship Based Fuzzy Relational Database Model
摘要
模糊資料庫系統是以模糊數學擴展傳統關聯式資料庫的理論，其目的是要儲存不精確的資料及處理一些不精確的資料查詢。 在本論文中，我們介紹模糊集理論與關聯式資料庫的基本概念。模糊理論由查德(L.A.Zedah)教授於1965年提出，直到80年才有學者將它應用到資料庫管理系統。為表示不精確、不確定及不完全的資訊，我們討論以相似關係為主的模糊資料庫模式。這個模式是延伸傳統的關聯式模式中屬性值的定義並以相似關係取代相等關係以比較屬性的值。另外，重複的值組要加以合併。相似關係是應用在定義域為有限集合時。在本論文中，我們整理如何將定義域推廣為無窮集合，並引用 、 來定義模糊數的相似關係。 雖然各種形式的相似關係已被提出，我們現在針對重要的理論定理作詳盡的整理。主要針對如何來對於生活中的模糊語意做查詢，找出其中相似的地方，進行交易或比對。最後為提出具體的例子來介紹如何在現實問題中運用模糊資料庫。
並列摘要
The system of fuzzy database is the theory that uses fuzzy mathematics to expand the traditional relation database. Its goal is to store imprecise information and to deal with inquiries of inexact information. In this dissertation, we introduce the essential concepts of the fuzzy set theory and relational database. Fuzzy theory was proposed by L. A. Zedah in1965. Some scholars did not apply it to database management system until 1980.To represent imprecise, uncertain, and incomplete information, we discuss the similarity-based fuzzy databases. This model extends the definition of traditional relational model in that attribute values. Use the similarity relation to replace equivalence relation to compare with the attribute values. In addition, the repeated tuples have to be combined. Similarity relation is applied when the domain is a finite set. In this paper, we work on how to expand the definition of the domain to infinite sets, and use and to define the fuzzy numbers of similarity relation. Although varieties of similarity relation were proposed, now we aim at detailed description of important theorems. We focus on how to make an inquiry about the fuzzy semantics in our daily lives, and find out the similarity therein. Then, we conduct transactions or contrast them. Finally, we bring up concrete examples to introduce how to apply the fuzzy database in reality.