23 2 MSM Matrix Based Interpretative Structural Model

基礎理論 (2/3) � 2. MSM (Matrix Based Interpretative Structural Model)定理 �MSM是由永井正武與蔡清斌於 2013年提出，旨在 分析不同系統上，其系統與系統間的結構關係， 其利用MSM系統下的可達矩陣，所形成的系統間 的結構圖(Nagai, and Tsai, 2013)。 �Nagai, M. and Tsai, C. P. , “Matrix Based Interpretative Structural Modeling, ” International Journal of Kansei Information, Vol. 4, No. 3, pp. 159 -174, 2013.

RGSM定理 (1/2)

RGSM定理 (2/2)

實例-1 (2/5) 學生試題表 (S-P表) 座號 題號 A 01 A 02 A 03 A 04 A 05 A 06 A 07 A 08 A 09 A 10 A 11 A 12 A 13 A 14 A 15 A 16 A 17 A 18 A 19 A 20 A 21 A 22 A 23 A 24 P 01 P 02 P 03 P 04 P 05 P 06 P 07 P 08 P 09 P 10 P 11 P 12 P 13 P 14 P 15 P 16 P 17 1 0 1 0 1 1 1 0 0 0 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 0 0 1 0 0 0 1 1 1 1 1 0 0 1 1 0 0 0 0 0 1 0 0 0 0 1 1 0 0 1 1 1 0 0 0 1 1 1 1 0 1 0 0 0 0 1 1 0 1 1 0 0 0 1 1 1 1 0 0 1 1 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 1 1 1 0 0 0 1 0 0 0 1 0 0 0 1 0 1 1 1 1 0 1 1 1 1 1 0 1 1 1 0 0 0 0 0 1 1 0 0 0 1 1 1 0 0 1 1 0 1 0 1 1 1 0 1

實例-1 (3/5) GSP表 S-P P 15 P 14 P 12 P 02 A 21 1 1 A 03 1 1 A 09 1 1 A 18 1 1 A 22 1 1 A 11 1 1 A 15 1 1 A 20 1 1 A 04 1 1 A 10 1 1 A 16 1 1 0 1 A 23 1 1 A 08 1 1 0 1 A 24 1 1 A 05 1 0 A 06 1 1 A 01 1 1 0 0 A 13 1 1 1 0 A 07 1 0 0 0 A 19 0 1 1 0 A 17 1 0 0 1 A 02 0 0 0 0 A 14 0 0 1 0 Total 20 18 17 16 LGRA 1 0. 83 0. 75 0. 68 Ratio 0. 83 0. 75 0. 71 0. 67 CP 0. 04 0. 09 0. 32 0. 11 Type A A P 03 1 1 1 0 1 0 0 0 15 0. 61 0. 63 0. 15 A P 08 1 1 1 1 0 0 0 1 1 0 0 15 0. 61 0. 63 0. 40 A P 10 1 1 1 0 1 1 0 0 0 0 0 1 14 0. 55 0. 58 0. 17 A P 01 0 1 1 1 0 0 1 1 0 1 0 1 1 0 0 13 0. 49 0. 54 0. 60 A' P 05 1 1 1 1 0 0 1 1 0 1 0 0 0 13 0. 49 0. 54 0. 22 A P 17 1 1 1 1 1 0 0 0 0 0 13 0. 49 0. 54 0. 07 A P 09 1 1 0 0 0 0 10 0. 33 0. 42 0. 48 B P 04 1 0 1 1 1 0 0 0 1 1 0 0 0 1 0 0 9 0. 27 0. 38 0. 57 B' P 06 1 1 1 0 0 0 0 1 0 7 0. 18 0. 29 0. 51 B' P 07 1 1 1 0 0 0 0 1 0 0 0 4 0. 04 0. 17 0. 27 B P 13 1 1 1 0 0 0 1 0 0 0 0 0 4 0. 04 0. 17 0. 20 B P 16 P 11 Total LGRA Ratio CS Type 1 1 16 1 0. 94 1. 18 A' 1 0 15 0. 86 0. 88 0. 31 A 1 0 15 0. 86 0. 88 0. 38 A 0 0 12 0. 57 0. 71 0 B 0 0 11 0. 50 0. 65 0. 08 B 0 0 11 0. 50 0. 65 0 B 1 0 11 0. 50 0. 65 0. 24 B 0 1 9 0. 36 0. 53 0. 42 B 0 0 9 0. 36 0. 53 0. 11 B 0 0 9 0. 36 0. 53 0. 19 B 0 0 9 0. 36 0. 53 0. 11 B 0 0 8 0. 30 0. 47 0. 50 C 0 0 8 0. 30 0. 47 0. 06 C 0 0 7 0. 25 0. 41 0. 92 C' 0 0 6 0. 19 0. 35 0. 06 C 0 1 5 0. 14 0. 29 0. 77 C' 0 0 5 0. 14 0. 29 0. 42 C 0 0 4 0. 09 0. 24 0. 32 C 0 0 3 0. 05 0. 18 0. 29 C 0 0 2 0 0. 12 0. 93 C' 0 0 2 0 0. 12 1. 39 C' 0 0 2 0 0. 12 0. 46 C 4 3 195 0. 04 0 0. 17 0. 13 0. 04 0. 74 B B' -

實例-1 (5/5) GSP表 S-P P 15 P 14 P 12 P 03 P 08 P 10 P 01 P 05 P 17 P 09 P 04 P 06 P 07 P 13 P 16 P 11 Total A 21 1 1 1 0 1 1 1 1 16 A 03 1 1 1 1 1 1 0 1 1 1 1 0 15 A 09 1 1 1 1 1 0 1 1 1 1 1 0 15 A 18 1 1 1 1 1 1 0 0 0 0 0 12 A 22 1 1 1 1 1 1 0 0 0 0 0 12 A 11 1 1 0 0 0 0 11