臺灣博碩士論文加值系統

在可靠度理論中，先前多數學者討論的皆是系統和它的成分的狀態為非模糊（參見【1，2，7，9】）。因為Zadeh在1965年提出模糊集的想法，因此，在模糊環境下可靠度理論也已經被廣泛地研究（參見【5，6，8，10】）。
在本文中我們根據具有三角模糊數的Zadeh擴展原理將探索模糊狀態結構函數和它的可能性可靠度。首先我們回顧共生系統和它的可靠度函數的定義和性質。接著我們提出具有三角模糊數的共生系統和它們的串並聯模糊可靠度系統。最後我們給具有模糊狀態可能性可靠度函數的一些定義和性質。此外，我們也建立了串並聯模糊系統的可能性可靠度函數及其特性。

In the reliability theory, studies always focus on the states of system and its components under nonfuzzy(crisp) situation (see [1, 2, 7, 9]). Since Zadeh proposed the idea of fuzzy sets in 1965, the reliability theory in fuzzy environment has been studied (see [5, 6, 8, 10]).
In this thesis we explore fuzzy-state structure functions and its possibility reliability by the Zadeh`s extension principle with triangular fuzzy numbers. First we review definitions and properties of coherent systems and its reliability functions. Then we propose coherent systems with triangular fuzzy numbers and their series and parallel fuzzy reliability systems. Finally we give some definitions and properties of possibility reliability functions with fuzzy states. Furthermore, we have possibility reliability function of series and parallel fuzzy systems.

1.緒論………………………...……………..…………….……1
2.回顧共生系統和它的可靠度函數…..……..…………………3
.2.1.二元系統…….………………………….....……………….3.
.2.2.多狀態系統……..……………………….....………………4
.2.3.連續狀態系統…………………………….....……………..6
3.具有三角模糊數的結構函數………………..……...……….8
.3.1.二元模糊狀態..………………………….....………………8
.3.2.多元模糊狀態…..………………………...…..…………..9
.3.3.連續模糊狀態………..………………….....….………….11
4.在模糊狀態結構上的可能性理論……….....….…………..14
.4.1.在二元模糊狀態上的可能性….……….....…..………….15
.4.2.在多元模糊狀態上的可能性...……….....…….…………16
.4.3.在連續模糊狀態上的可能性…………….......……………17
5.結論……..…………………………………..……...……….20

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