Tamura等人（1978）提出max-min合成（compositions）的n步驟過程，並推廣至max-t合成；後來Yang和Shih（2001）提出max-Δ合成的n步驟過程，證明max-Δ合成是較佳的。本文推廣Tamura（1978）等人及Yang和Shih（2001）的 n步驟過程，以及結合Atanassov（1989）的觀點，將max-t和min-s合成建立在直觀模糊集合（intuitionistic fuzzy set）上。n步驟過程是由一鄰近關係矩陣，經過max-t和min-s合成，而得到具有遞移性的相似關係矩陣，再進行分群，進而得到更精緻的分群結果。abe
Tamura et al. (1978) constructed an n-step procedure using max-min composition of fuzzy relations and extended to all types of max-t compositions. Yang and Shih (2001) proposed an n-step procedure using max-Δcomposition and proved that max-Δcompositions is better. Here, the n-step procedure is extended to max-t and min-s compositions from Tamura’s (1978) and Yang’s (2001) n-step procedures and it is established on Atanassov’s (1989) point of view－intuitionistic fuzzy sets. Then a clustering algorithm on intuition fuzzy relation is created for the max-t and min-s similarity-relation matrix. A max-Δand min-Δsimilarity- relation matrix with transitivity is obtained by beginning with a proximity-relation matrix based on the n-stpe procedure.tc
第一章 緒論………………………………………………………….1 第二章 n步驟過程…………………………………………………..4
2.1 模糊關係及直觀模糊關係……………………………..4
2.2遞移性…………………………………………………...5
2.2.1 max-t遞移性…………………………………......5
2.2.2 min-s遞移性……………………………………...7
2.2.3 IFR上的max-t遞移性和min-s遞移性………...8
2.3 max-t和min-s與n步驟過程…………………………..10
第三章 群集分析演算法…………………………..…………………17
第四章 結論…………………………………………………….……26
參考文獻……………………………………………………….………27
表目錄
表1、max-min和min-max合成之 結果分析…………….23
表2、max-Δ和min-Δ合成之 結果分析…………………24
圖1、max-min和min-max合成之 分析…………………..23
圖2、max-Δ和min-Δ合成之 分析………………………24

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