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| Title: | 模糊中位數及其在財金與經濟分析之應用
Fuzzy Median and Its Applications in Economics and Finance |
| Authors: | 何曉緯 |
| Contributors: | 吳柏林
鄭宇庭
何曉緯 |
| Keywords: | 二元邏輯
隸屬度函數
模糊統計
模糊中位數
binary logic
membership functions
fuzzy statistics
fuzzy median |
| Date: | 2002 |
| Issue Date: | 2016-05-09 16:23:38 (UTC+8) |
| Abstract: | 在知識經濟之社會，多元思維逐漸取代傳統二元邏輯的思考與分析方法。過去使用單一數值的樣本來計算中位數的方法，已漸不符現今複雜多變的智慧科技時代之需求。尤其是在具有多變性、不確定性、與訊息不完整性的財金與經濟環境下，過分強調對於數值之運算及數學假設的前提，反而更容易造成與現實環境及條件的背離、甚至是脫節。故在進行財金與經濟方面問題的研究時，利用隸屬度函數與模糊統計的分析將會是一種較為進步的測度方法。本文在此提出模糊中位數的分析理論，並將其應用於財務金融的分析測度上，期望能對複雜的財金經濟現狀提供一套更有效且精確合理的分析方法。
In the society of economic knowledge, Multi-valued logic goes to replace binary logic gradually. In the traditional way, we usually ask the task-taker to response the answer according to the thinking of binary logic. But such kind of response is improper since the human thinking is fuzzy and uncertain. So it should be an improved measurement using membership functions and fuzzy statistics.
In this paper, we will propose the definition of fuzzy median, and present some of its application. According to the above theoretical contents, we give some examples, which is used frequently in financial and economic assessment. From the explanation and discussion of fuzzy median in these examples, we can recognize that fuzzy statistics is more meaningful and proper for research of finance and economics. At last, based upon the findings of this study, certain recommendations for further research are suggested. |
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| Description: | 碩士
國立政治大學
統計學系
88354006 |
| Source URI: | http://thesis.lib.nccu.edu.tw/record/#A2010000359 |
| Data Type: | thesis |
| Appears in Collections: | [統計學系] 學位論文
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