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研究生: 吳珮菁
Wu, Pei-Ching
論文名稱: 模糊統計分析在選情預測之應用
Analysis of Fuzzy Statistics in Application of Forcasting an Election Campaign
指導教授: 鄭宇庭
吳柏林
學位類別: 碩士
Master
系所名稱: 商學院 - 統計學系
Department of Statistics
論文出版年: 1999
畢業學年度: 87
語文別: 中文
論文頁數: 42
中文關鍵詞: 模糊統計最大隸屬度模糊權重
外文關鍵詞: Fuzzy statistics, Maximum of membership, Fuzzy weight
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  • 近年來,民意調查有廣泛使用在預測競選期間選情動向的趨勢,試將問卷設計為探討選民們投票理念與投票行為意圖,以預測選民投票意向。但現實社會裡,並不能以二元邏輯的觀念來劃分人類的思想理念與行為意圖,因為人類的思維、決策、行為中都包含模糊不確定性與非定量化的特質,即集合中元素的隸屬度假若是模糊不確定的,非完全屬於此集合又非完全不屬於此集合,則二元邏輯觀念可能無法詳盡地探訴事件本身所具代表的真相,將會扭曲它背後隱藏的因素意義,故欲應用多元邏輯更精確地描述人類不確定性的模糊特質。

    本論文將職務表現、政治形象、候選政見、所屬政黨列為預測台北市長選舉的探究因素,應用模糊統計分析傳統問卷,認為每一位選民將因本身的獨特因素特徵,各視影響選情的論域有著不盡相同重要程度,故考慮個體模糊權重、總體模糊權重、模糊權重數的選定,評定三位台北候選人將各具有不同程度的隸屬函數,利用隸屬度與決定投票意向之間的微妙關係,以最大隸屬度預測選民最終決定的投票意向,將對複雜的選舉情勢作更適合的預測估計。


    Public opinion survey has played an important role and has been utilized in forcasting an election campaign. Trying to get an unbiased and reliable forcast that best explain voters behavior, researchers have put a tremendous effort in designing the survey questions trying to capture the true essence of voters intention and action. In this paper, we apply logic of fuzzy theory to extract the voters inclination to vote for any candidate in the event of uncertainty surrounding the voters that may affect his or her voting decision.

    This paper has taken into account of candidate performance, public image, political views and political party as discussible factors that many have inflected the process of Taipei mayoral election. Furthermore, we use individual fuzzy weight, total fuzzy weight and fuzzy weight to assign the membership function to the candidates. The candidate who has obtained the maximum membership function based on the above categories is likely to get the vote from the uncertain votes.

    壹、前言 1
    貳、模糊統計 3
    2.1模糊邏輯 3
    2.2模糊集合 4
    2.3模糊權重 6
    參、選情預測與模糊統計分析 7
    3.1問卷設計與統計分析方式 7
    3.2樣本代表性檢定及樣本反覆加權修正 9
    3.3因素之權值決定 12
    3.4解決游離票 16
    3.5最大隸屬度判定之可靠度分析 18
    3.6推論過程 21
    肆、實例探討 22
    4.1樣本代表性檢定及樣本反覆加權修正 23
    4.2問卷分析過程 27
    伍、結論 35
    參考文獻 38
    附錄 41

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