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kikuchi_b

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kikuchi presentation B4 2012

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kikuchi_b

  1. 1. ༞ᴗㄽᩥⓎ⾲ 㞟ᅋAHP䛻䛚䛡䜛୍ᑐẚ㍑ᅇᩘ䛾 ๐ῶྍ⬟ᛶ䛻㛵䛩䜛◊✲ A Study on Reducing Number of Pairwise Comparison in Group Analy=c Hierarchy Process ໭ᾏ㐨኱Ꮫ䚷ᕤᏛ㒊䚷᝟ሗ䜶䝺䜽䝖䝻䝙䜽䝇Ꮫ⛉ 」㞧⣔ᕤᏛㅮᗙ䚷ㄪ࿴⣔ᕤᏛ◊✲ᐊ Ꮫ㒊4ᖺ䚷⳥ụἋ▱
  2. 2. Analy=c Hierarchy Process ே㛫䛾୺ほⓗุ᩿䜢ᐃ㔞ⓗ䛻ᢅ䛖䛣䛸䛾䛷䛝䜛ពᛮỴᐃᡭἲ㻌㻌[Saaty, T.L., 1980] AHP䛾ᡭ㡰 䝬䞁䝅䝵䞁 ᗈ䛥 ❧ᆅ A1 A2 A3 ᭱⤊┠ᶆ ホ౯㡯┠ ௦᭰᱌ ୍ᑐẚ㍑⾜ิ ❧ᆅ A1 A2 A3 A1 1 5 3 A2 1/5 1 1/3 A3 1/3 3 1 㔜せᗘ 0.64 0.10 0.26 ẚ㍑ᑻᗘ ⾲⌧ 5 䛛䛺䜚㔜せ 3 䜔䜔㔜せ 1 ྠ䛨⛬ᗘ 1/3 䜔䜔㔜せ䛷䛺䛔 1/5 ඲䛟㔜せ䛷䛺䛔 1. ᭱⤊┠ᶆ䠈ホ౯㡯┠䠈௦᭰᱌䛻ศ䛡䛶㝵ᒙ໬䛩䜛 2. ྛ㝵ᒙ䛷1䛴ୖ䛾㝵ᒙ䛻䛴䛔䛶୍ᑐẚ㍑䜢⾜䛖 3. ୍ᑐẚ㍑⾜ิ䛛䜙㔜せᗘ䜢ồ䜑䜛 4. ྛホ౯㡯┠䛻䛚䛡䜛௦᭰᱌䛾㔜せᗘ䜢ྜᡂ䛩䜛 ᭱䜒㔜せᗘ䛾㧗䛔௦᭰᱌ 䠄᭱Ⰻ௦᭰᱌䠅䛰䛡Ỵ䜑䜜䜀Ⰻ䛔ሙྜ ẚ㍑ᨭ᥼ἲ [Tadano, Y., 2011] ୍ᑐẚ㍑ᅇᩘ䛾 ๐ῶ䛜ྍ⬟䛻 푛 × 푛⾜ิ䛾୍ᑐẚ㍑ᅇᩘ 푛∙(푛−1)/2 
  3. 3. 㞟ᅋAHP 䞉䠍ே䛾䠄฼⏝⪅䛾䠅୍ᑐẚ㍑⾜ิ䜢㞟⣙䛧䠈㞟ᅋ䛸䛧䛶䛾୍ᑐẚ㍑⾜ิ䜢సᡂ䛩䜛 ཎጞ䝕䞊䝍䠄ぢゎ䠅䛾↓᧯స 㞟ᅋAHP䛾᪉ᘧ 䞉㞟ᅋᗄఱᖹᆒἲ [Saaty, T.L., 1989] 䞉㞟ᅋពᛮỴᐃ䝇䝖䝺䝇ἲ 䚷[୰す, 1998] 䞉䜰䜽䝍䞊ἲ ホ౯⪅➼౯ ホ౯⪅᱁௜䛡 䞉༊㛫AHPἲ [ᒣ⏣, 1998] 䞉C 䛾D䜈䛾ᣑᙇ ཎጞ䝕䞊䝍䠄ぢゎ䠅䛾᧯స ホ౯㡯┠䠈௦᭰᱌䛾ቑຍ䛻క䛔䠈୍ᑐẚ㍑ᅇᩘ䛜⭾኱ 㞟ᅋAHP䛻ẚ㍑ᨭ᥼ἲ䜢㐺⏝䛧䛯ሙྜ䛻 䛹䛾⛬ᗘ୍ᑐẚ㍑ᅇᩘ䛜๐ῶ䛷䛝䜛䛛ㄪᰝ䛜ᚲせ
  4. 4. ◊✲┠ⓗ 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾㛤Ⓨ • ẚ㍑ᨭ᥼ἲ㻌[Tadano, Y., 2011] • 㞟ᅋᗄఱᖹᆒἲ㻌[Saaty, T.L., 1989] 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛻䜘䜛 ୍ᑐẚ㍑ᅇᩘ䛾๐ῶྍ⬟ᛶ䜢♧䛩 ┠ⓗ 䜰䝥䝻䞊䝏
  5. 5. ฼⏝⪅䛜୍ே䛾ሙྜ䛾 ୍ᑐẚ㍑ᅇᩘ䛾๐ῶ᪉ἲ ❧ᆅ A1 A2 A3 A1 1 A2 1 A3 1 ᗈ䛥 A1 A2 A3 A1 1 A2 1 A3 1 ᗈ䛥 ❧ᆅ 0 12 x ᗈ䛥 1 ❧ᆅ 1 1 12 x 1 13 x 1 23 x 2 12 x 2 13 x 2 23 x ẚ㍑୙せ A1 A1 A1 A2 A3 ẚ㍑ᨭ᥼ἲ[Tadano, Y., 2011] ᭱䜒㔜せᗘ䛾㧗䛔௦᭰᱌䠄䠙᭱Ⰻ௦᭰᱌䠅䛰䛡ồ䜑䛯䛔ሙྜ䛻╔┠䛧䛯᪉ἲ ᭱Ⰻ௦᭰᱌ A1
  6. 6. ẚ㍑ᨭ᥼ἲ䛾䜰䝹䝂䝸䝈䝮㻌[Tadano, Y., 2011] [Yumi Tadano, 2011] X *䠖㻌ᮍẚ㍑䛺ᡂศ䜢ྵ䜐୍ᑐẚ㍑⾜ิ䛾㞟ྜ i a 䠖㻌௦᭰᱌㻌i k ij x 䠖㻌㻌k ␒┠䛾୍ᑐẚ㍑⾜ิ䛾➨㻌i ⾜㻌j ᮍẚ㍑䛺ᡂศ䛻ᑐ䛩䜛඲᥈⣴ ิ┠䛾ᡂศ ධຊ䛧䛯᫬Ⅼ䛷᭱Ⰻ௦᭰᱌䛜୍ព䛻Ỵ䜎䜛䛛ุᐃ䛩䜛㛵ᩘ ᮍẚ㍑ᡂศ䛻䛹䛾್䜢ධ䜜䛶䜒᭱Ⰻ௦᭰᱌䛜ኚ໬䛧䛺䛔 ≧ែ䛷⤊஢ ⤖ᯝ • ධຊ㡰䛻䜘䛳䛶๐ῶ䛷䛝䜛 䚷䚷୍ᑐẚ㍑ᅇᩘ䛜␗䛺䜛 • ᮏ᮶7ᅇ䛾୍ᑐẚ㍑ᅇᩘ䛜ᚲせ(*1) 䚷䚷⣙18%๐ῶ (*1) ホ౯㡯┠ᩘ2, ௦᭰᱌ᩘ3䛾ሙྜ䛾 㻌㻌㻌㻌㻌㻌㻌㻌୍ᑐẚ㍑䛾㡰ᗎ䛸್䜢䝷䞁䝎䝮䛻500,000ಶ㑅䜃 㻌㻌㻌㻌㻌㻌㻌㻌᭱Ⰻ௦᭰᱌䛜ồ䜎䜛䜎䛷䛾୍ᑐẚ㍑ᅇᩘ䛾ᖹᆒ
  7. 7. 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾㛤Ⓨ䛻ྥ䛡䛶 㞟ᅋAHP䛾ᡭἲ䛾㑅ᢥ ẚ㍑ᨭ᥼ἲ䛾㞟ᅋAHP䛻ᑐ䛩䜛㐺⏝ LLSMἲ䛻ᇶ䛵䛟 ᭱Ⰻ௦᭰᱌䛾Ỵᐃ 㞟ᅋAHP䛻ᇶ䛵䛟ពᛮỴᐃ䝅䝇䝔䝮䛾タィ 䞉㻌1ே䛪䛴㡰␒䛻ẚ㍑䜢⾜䛖᪉ᘧ 䞉㻌୍ᩧ䛻ẚ㍑䜢⾜䛖᪉ᘧ 䛭䜜䛮䜜䛾᪉ᘧ䛷๐ῶྍ⬟䛺୍ᑐẚ㍑䛾ᅇᩘ䛜␗䛺䜛 䛹䛾⛬ᗘ๐ῶྍ⬟䛛᳨ウ 䞉㞟ᅋᗄఱᖹᆒἲ 䞉㞟ᅋពᛮỴᐃ䝇䝖䝺䝇ἲ 䞉䜰䜽䝍䞊ἲ 䞉༊㛫AHPἲ 䞉C 䛾D䜈䛾ᣑᙇ ไ⣙䠖䚷୍ᑐẚ㍑⾜ิ䛾ᑐゅᡂศ䛜㏫ᩘ䚷
  8. 8. 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾䜰䝹䝂䝸䝈䝮 㛤ጞ ホ౯㡯┠䛸௦᭰᱌䠈㝵ᒙ䜢ධຊ ୍ᑐẚ㍑⾜ิX*䜢సᡂ 㞟ᅋ୍ᑐẚ㍑⾜ิ䚷䚷䛾సᡂ p ijk x ୍ᑐẚ㍑್㻌㻌㻌㻌㻌䚷㻌㻌䜢ධ ຊ X*䜢᭦᪂䛩䜛 㞟ᅋ୍ᑐẚ㍑⾜ิ䚷䚷䜢᭦᪂ ( *, ) true 2 i = F Z a 䛸䛺䜛௦᭰᱌䛜 Ꮡᅾ䛩䜛 ௦᭰᱌䚷䚷䚷䜢ฟຊ ⤊஢ NO YES i a 㞟ᅋᗄఱᖹᆒἲ䜢⏝䛔䜛 㞟ᅋ୍ᑐẚ㍑⾜ิ䛻ุᐃ㛵ᩘ䜢⏝䛔䜛 ᭱Ⰻ௦᭰᱌䛜୍ព䛻Ỵ䜎䜛ሙྜ䛾 ẚ㍑್䝟䝍䞊䞁䜢䝻䜾䝕䞊䝍䛸䛧䛶ฟຊ Z* Z* X * Z* p ijk x i a 䠖ᮍẚ㍑䛺ᡂศ䜢ྵ䜐୍ᑐẚ㍑⾜ิ䛾㞟ྜ 䠖㞟ᅋ୍ᑐẚ㍑⾜ิ 䠖䚷㻌ே┠䛾ホ౯㡯┠䚷㻌䛻ᑐ䛩䜛୍ᑐẚ㍑⾜ิ䛾 䚷➨䚷⾜䚷ิ┠䛾ᡂศ p i j k 䠖௦᭰᱌i Z*
  9. 9. 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾ホ౯䛻ྥ䛡䛶 ⎞ 1 0 12 y ⎞ 1 13 y y ⎞ 2 13 y y 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾ホ౯ 䛩䜉䛶䛾୍ᑐẚ㍑್䛾ධຊ䝟䝍䞊䞁䛾 mp m n n mp m n n 2 ( 1) ( 1) + − − 䞉䞉䞉 ඲䛶䛾୍ᑐẚ㍑್䛾 ධຊ䝟䝍䞊䞁 ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 0 12 x 1 ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 13 x x 1 1 1 1 23 1 12 x ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 2 13 x x 1 1 1 2 23 2 12 x ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 1 1 23 1 12 y ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 1 2 23 2 12 y ௒ᅇᑐ㇟䛸䛩䜛 㞟ᅋAHP 14! × 514㏻䜚 ๐ῶ⋡ ᮍẚ㍑䛺ᡂ ศ䛾೫䜚 ᩚྜᗘ䠄C.I.䠅 C . I . λ max n λ max n 䠖୍ᑐẚ㍑⾜ิ䛾୺ᅛ᭷䝧䜽䝖䝹 䠖୍ᑐẚ㍑⾜ิ䛾ิᩘ㻌䚷䚷 ᩚྜᗘ m : ホ౯㡯┠䛾ᩘ n : ௦᭰᱌䛾ᩘ p : ேᩘ 2 2 ! 5 2 × + − − − 1 − = n ๐ῶຠᯝ䛾ほⅬ䛸䛧䛶᭷ຠ䛛 䜿䞊䝇䝇䝍䝕䜱䛻䜘䜚☜ㄆ ㄪ䜉ୖ䛢 ฼⏝⪅1 ฼⏝⪅2 ホ౯㡯┠㛫 ௦᭰᱌㛫
  10. 10. 䜿䞊䝇䝇䝍䝕䜱 1. ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷㢮ఝ䛧䛯್䜢䛸䜛䜿䞊䝇䚷 2. ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷㢮ఝ䛧䛺䛔್䜢䛸䜛䜿䞊䝇 㢮ఝ䛧䛯୍ᑐẚ㍑⾜ิ 㢮ఝ䛧䛺䛔୍ᑐẚ㍑⾜ิ ⎞ ⎛ 1 0 12 x ⎞ ⎛ 1 0 12 y ⎞ ⎛ 1 13 x x ⎞ ⎛ 2 13 x x ⎞ ⎛ 1 13 y y ⎞ ⎛ 2 13 y y ᮍẚ㍑䛺ᡂศ ୍᪉䛾䜏䛻Ꮡᅾ ཮᪉䛻ศᩓ ୍᪉䛾䜏䛻Ꮡᅾ ཮᪉䛻ศᩓ ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 1 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 䠆 1 * 3 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 䠆 䠆 䠆 䠆 * ⎞ 1 * 3 䠆 * ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 1 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 * 1 1/ 3 1 ⎞ * ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 5 1 1 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 1 ⎞ ⎛ 1 5 ⎛ 1 1/ 3 ⎞ ⎛ 1 3 * 1 1/ 3 ⎛ 1 1/ 5 3 ⎞ ⎛ 1 1/ 3 5 1 5 ⎛ 1 * 1 1 1/ 3 ⎞ ⎛ 1 5 ⎞ ⎛ 1 1/ 3 ⎞ ⎛ 1 3 1 1 1/ 3 ⎞ ⎛ 1 * 3 1 3 ⎞ ⎛ 1 1/ 3 5 1 5 * ⎞ ⎛ 1 5 ᩚྜᗘ䛾⪃៖ 䛧䛺䛔 䛩䜛 䛧䛺䛔 䛩䜛 䛧䛺䛔 䛩䜛 䛧䛺䛔 䛩䜛 ᐇ㦂 ྛ䜿䞊䝇䛾௦⾲౛䛻ᑐ䛧䛶๐ῶ⋡䜢ẚ㍑ ⎟⎟⎠ ⎜⎜⎝ 1 ⎞ ⎟⎟⎠ ⎜⎜⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎞ ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 * ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎞ ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎟⎟⎠ ⎜⎜⎝ 1 ⎟⎟⎠ ⎜⎜⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 * 䠆 䠆 䠆 䠆 䠆 䠆 ⎟⎟ ⎠ ୍ᑐẚ㍑⾜ิ䛾タᐃ ⎜⎜ ⎝ 1 ⎟⎟ ⎠ ⎜⎜ ⎝ 1 ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 1 1 23 1 12 x ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 1 2 23 2 12 x ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 1 1 23 1 12 y ⎟⎟⎟ ⎠ ⎜⎜⎜ ⎝ 1 1 1 2 23 2 12 y ௒ᅇᑐ㇟䛸䛩䜛 㞟ᅋAHP ฼⏝⪅1 ฼⏝⪅2 ホ౯㡯┠㛫 ௦᭰᱌㛫 ฼⏝⪅ᩘ䠖2,䚷ホ౯㡯┠ᩘ䠖2,䚷௦᭰᱌ᩘ䠖3 ᮍẚ㍑䛺ᡂศ䛾ᩘ䠖3
  11. 11. ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷 㢮ఝ䛧䛯್䜢䛸䜛䜿䞊䝇 ୍᪉䛾฼⏝⪅䛾 ୍ᑐẚ㍑⾜ิ䛻䛾䜏Ꮡᅾ ホ౯㡯┠㛫 ௦᭰᱌㛫 ⪃៖䛧䛺䛔 ᩚྜᗘ ⪃៖䛩䜛 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 1 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 * 3 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 1 1 * 䠆 䠆 䠆 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 * 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 5 1 1 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 * 3 1 1/ 3 1 䠆 䠆 䠆 ᮍẚ㍑䛺ᡂศ ᮍẚ㍑䛺ᡂศ ཮᪉䛾฼⏝⪅䛾 ୍ᑐẚ㍑⾜ิ䛻ศ㞳 ฼⏝⪅1 ฼⏝⪅2 ฼⏝⪅1 ฼⏝⪅2 ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ 0% 20% 40% 60% 80% 100% 1ᅇ 1ᅇ 2ᅇ 2ᅇ 3ᅇ 3ᅇ 0% 20% 40% 60% 80% 100% 1ᅇ 1ᅇ 2ᅇ 2ᅇ 3ᅇ 3ᅇ ᅗ. ᭱Ⰻ௦᭰᱌䛜୍ព䛻ồ䜎䜛䜎䛷䛾ධຊᩘ䛾๭ྜ
  12. 12. ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷 㢮ఝ䛧䛺䛔್䜢䛸䜛䜿䞊䝇 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 * 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 5 3 1 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 * 1 1 1/ 3 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 1 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 * 3 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1/ 3 5 1 5 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 5 1 * ⪃៖䛧䛺䛔 ᩚྜᗘ ⪃៖䛩䜛 䠆 䠆 䠆 䠆 䠆 䠆 ᮍẚ㍑䛺ᡂศ ୍᪉䛾฼⏝⪅䛾 ୍ᑐẚ㍑⾜ิ䛻䛾䜏Ꮡᅾ ホ౯㡯┠㛫 ௦᭰᱌㛫 ཮᪉䛾฼⏝⪅䛾 ୍ᑐẚ㍑⾜ิ䛻ศ㞳 ฼⏝⪅1 ฼⏝⪅2 ฼⏝⪅1 ฼⏝⪅2 ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ 0% 20% 40% 60% 80% 100% 2ᅇ 2ᅇ 3ᅇ 3ᅇ 0% 20% 40% 60% 80% 100% 1ᅇ 1ᅇ 2ᅇ 3ᅇ 2ᅇ 3ᅇ ᅗ. ᭱Ⰻ௦᭰᱌䛜୍ព䛻ồ䜎䜛䜎䛷䛾ධຊᩘ䛾๭ྜ
  13. 13. ᮍẚ㍑䛺ᡂศ䛜䠐䛴Ꮡᅾ䛩䜛䜿䞊䝇 ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷 㢮ఝ䛧䛺䛔್䜢䛸䜛䜿䞊䝇 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 1/ 5 1 1 1/ 3 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 * 1 1 1/ 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 3 1 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 * 1 1/ 5 1 ୍ᑐẚ㍑⾜ิ䛜཮᪉䛾฼⏝⪅䛷 㢮ఝ䛧䛯್䜢䛸䜛䜿䞊䝇 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 3 1 ⎞ ⎟⎟⎠ ⎛ ⎜⎜⎝ 1 5 1 1 1/ 3 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 3 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜⎝ 1 * 1 1 5 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 1 3 1 1 * 1 1 * ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 5 1 䠆 䠆 䠆 䠆 䠆 䠆 䠆 䠆 ホ౯㡯┠㛫 ௦᭰᱌㛫 ᩚྜᗘ ⪃៖䛧䛺䛔 ฼⏝⪅1 ฼⏝⪅2 ฼⏝⪅1 ฼⏝⪅2 ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ ධຊ䝟䝍䞊䞁ᩘ䛾Ꮡᅾẚ⋡ 0% 20% 40% 60% 80% 100% 2ᅇ 3ᅇ 4ᅇ 0% 20% 40% 60% 80% 100% 1ᅇ 2ᅇ 3ᅇ4ᅇ ᅗ. ᭱Ⰻ௦᭰᱌䛜୍ព䛻ồ䜎䜛䜎䛷䛾ධຊᩘ䛾๭ྜ
  14. 14. 䜎䛸䜑 ฼⏝⪅ᩘ䠖2, 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾ホ౯ ๐ῶ⋡ ホ౯㡯┠ᩘ䠖2, ᮍẚ㍑䛺ᡂ ศ䛾೫䜚 ᩚྜᗘ ௦᭰᱌ᩘ䠖3䛻䛚䛡䜛㞟ᅋAHP䛻䛚䛔䛶 3ᅇᚲせ䛺୍ᑐẚ㍑䜢1ᅇ䛻๐ῶ䛷䛝䜛䜿䞊䝇䛜Ꮡᅾ 0% 20% 40% 60% 80% 100% 1ᅇ┠ 1ᅇ┠ 2ᅇ┠ 3ᅇ┠ 2ᅇ┠ 3ᅇ┠ 䜿䞊䝇䝇䝍䝕䜱䛻 䜘䜛᳨ウ
  15. 15. * ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 0 12 x 1 ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜⎝ 1 0 12 y 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 13 x x 1 1 1 1 23 1 12 x ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 2 13 x x 1 1 1 2 23 2 12 x ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 13 y y 1 1 1 1 23 1 12 y ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 2 13 y y 1 1 1 2 23 2 12 y ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 0 0 12 x y 1 12 ⎞ ⎟⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜⎜ ⎝ x y x y 1 1 1 1 23 1 23 1 13 1 13 1 12 1 12 x y ⎞ ⎟⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜⎜ ⎝ x y x y 1 1 1 2 23 2 23 2 13 2 13 2 12 2 12 x y 㞟ィ 㞟ᅋ䛸䛧䛶䛾 ୍ᑐẚ㍑⾜ิ ಶே䛾 ୍ᑐẚ㍑⾜ิ ホ౯㡯┠㛫 ௦᭰᱌㛫
  16. 16. ᩚྜᛶ* ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ ୍ᑐẚ㍑⾜ิ 1 13 x x 1 1 1 1 23 1 12 x A B C ᩚྜᛶ䛾ಖ䛯䜜䛶䛔䛺䛔ሙྜ 㑅ዲ㡰ᗎ䛜▩┪䛧䛶䛔䜛 ౛) A B, B C, C A 䚷䚷䚷䚷ᩚྜᗘ䠄C.I.䠅 C I λ n λ max 䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䠖୍ᑐẚ㍑⾜ิ䛾୺ᅛ᭷䝧䜽䝖䝹 . . max − = n 㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌㻌䠖୍ᑐẚ㍑⾜ิ䛾ิᩘ㻌䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷 1 − n 䚷䚷C.I.䛜0.1䜘䜚㧗䛔୍ᑐẚ㍑⾜ิ䜢䚷ྵ䜑䜛 䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷ྵ䜑䛺䛔 ⪃៖䛧䛺䛔 ⪃៖䛩䜛
  17. 17. 䛆⤖ᯝ䛇ᮍẚ㍑ᡂศ䜢 䠍ே䠎䛴䛪䛴ᣢ䛴ሙྜ䠆 ఝ䛯䜘䛖䛺㑅ዲ䜢ᣢ䛴ሙྜ 1ᅇ┠ 2ᅇ┠ 3ᅇ┠4ᅇ┠ 0% 20% 40% 60% 80% 100% ␗䛺䜛㑅ዲ䜢ᣢ䛴ሙྜ 2ᅇ┠ 3ᅇ┠ 4ᅇ┠ 0% 20% 40% 60% 80% 100%
  18. 18. 㞟ᅋAHPྥ䛡ẚ㍑ᨭ᥼ἲ䛾ホ౯䛻ྥ䛡䛶 mp m n n mp m n n ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 0 12 x 1 2 ( 1) ( 1) + − − ⎞ ⎟⎟ ⎠ ⎛ ⎜⎜ ⎝ 1 0 12 y 1 ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 13 x x 1 1 1 1 23 1 12 x ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 2 13 x x 1 1 1 2 23 2 12 x ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 1 13 y y 1 1 1 1 23 1 12 y ⎞ ⎟⎟⎟ ⎠ ⎛ ⎜⎜⎜ ⎝ 2 13 y y 1 1 1 2 23 2 12 y ௒ᅇᑐ㇟䛸䛩䜛 㞟ᅋAHP ඲䛶䛾୍ᑐẚ㍑್䛾 ධຊ䝟䝍䞊䞁 呍呍呍 ඲✵㛫䜢ㄪ䜉ୖ䛢䜛䛾䛿ᅔ㞴 㞟ᅋAHP䛾୍ᑐẚ㍑ᅇᩘ䛾๐ῶ ๐ῶ䛷䛝䜛๭ྜ 䚷㻌䚷䚷䠇 ๐ῶᑐ㇟䛾೫䜚(*2) ᩚྜᗘ ๐ῶຠᯝ䛾ほⅬ䛸䛧䛶᭷ຠ䛛 䜿䞊䝇䝇䝍䝕䜱䛻䜘䜚☜ㄆ m : ホ౯㡯┠䛾ᩘ n : ௦᭰᱌䛾ᩘ p : ேᩘ 2 2 ! 5 2 × + − − 14! × 514 (*2)ᮍẚ㍑䛺ᡂศ䛜䚷䚷1ே䛻㞟୰䛧䛶䛔䜛 䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷䚷㻌㻌㻌㻌㻌㻌2ே䛻ศᩓ䛧䛶䛔䜛

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