Sheet1

Quantitative data for machuine tool selection problemBeneficial attributesNon-beneficiary attributesBeneficial attributesNon-beneficiary attributesBeneficial attributesNon-beneficiary attributesSerial no.CNC latheTable area (TA)Spindle speed(SS)Power(P)Tool number(TN)Tool change time(TCT)Maximum tool diameter(MTD)Positioning accuracyPA1Mazak-FH6000250,00010,000374051352Table area (TA) in mm^22Okuma-MA500HB250,0006,000304041404Spindle speed(SS) in rpm3Matsuura-HMAX500250,00015,00022603802Power(P) in kw4Mazak-PFH5800250,00015,00022403952Tool number(TN)5Moriseiki-NVD4000DCG315,00012,00019203801Tool change time(TCT) in sec6Dahlil-MCH500250,0003,500196081101Maximum tool diameter(MTD) in mm7Hyundai-SPTV550D266,50010,00016244905Positioning accuracy(PA) in 10^-3mm8Excel-PM610T32292,7418,000163359559Challenger-MCV2416273,60015,000816690510Leadwel-MH500250,0004,000154013125111Eagle-VMC600320,00010,0001122589512Excel-PMCT18303,3868,0001019595513Awea-AV610315,0008,0008206100514Challenger-MCV2412273,6008,000816680515Taksan-TMC500/1300,0006,000716680516Dahlil-MCV510287,0008,0008168901

sum of square1246695528077.00001539250000522217934600160446232square root1116555.2060140239233.276692114372.2634070606133.91788528824.4948974278400.557112032715.2315462117

1920000Normalized TableSerial no.CNC latheCCSSTCTXTZMDML1YANG ML-5A2YANG ML-25A3YCM TC-154VTURN 165FEMCO HL-156FEMCO WNCL-207FEMCO WNCL-308EX-1069ECOCA SJ2010ECOCA SJ2511ECCOA SJ3012TOPPER TNL-85A13TOPPER TNL-100A14TOPPER TNL-100AL15TOPPER TNL-85T 16TOPPER TNL-100T

weights0.11480.18080.18840.11970.11480.15460.1268

Weighted normalized matrixSerial no.CNC latheCCSSTCTXTZMDML1YANG ML-5A2YANG ML-25A3YCM TC-154VTURN 165FEMCO HL-156FEMCO WNCL-207FEMCO WNCL-308EX-1069ECOCA SJ2010ECOCA SJ2511ECCOA SJ3012TOPPER TNL-85A13TOPPER TNL-100A14TOPPER TNL-100AL15TOPPER TNL-85T 16TOPPER TNL-100T

concordance matrixSerial no.123456891011121314151612345678910111213141516

Discordance matrixSerial no.123456891011121314151612345678910111213141516

Alternative differencesAlternativesCCSSTCTXTZMDMLmax numomax denoIndex1,20.00000.00000.00000.00000.00000.00000.0000d(1,2)1,30.00000.00000.00000.00000.00000.00000.0000d(1,3)1,40.00000.00000.00000.00000.00000.00000.0000d(1,4)1,50.00000.00000.00000.00000.00000.00000.0000d(1,5)1,60.00000.00000.00000.00000.00000.00000.0000d(1,6)1,70.00000.00000.00000.00000.00000.00000.0000d(1,7)

2,10.00000.00000.00000.00000.00000.00000.0000d(2,1)2,30.00000.00000.00000.00000.00000.00000.0000d(2,3)2,40.00000.00000.00000.00000.00000.00000.0000d(2,4)2,50.00000.00000.00000.00000.00000.00000.0000d(2,5)2,60.00000.00000.00000.00000.00000.00000.0000d(2,6)2,70.00000.00000.00000.00000.00000.00000.0000d(2,7)

3,10.00000.00000.00000.00000.00000.00000.0000d(3,1)3,20.00000.00000.00000.00000.00000.00000.0000d(3,2)3,40.00000.00000.00000.00000.00000.00000.0000d(3,4)3,50.00000.00000.00000.00000.00000.00000.0000d(3,5)3,60.00000.00000.00000.00000.00000.00000.0000d(3,6)3,70.00000.00000.00000.00000.00000.00000.0000d(3,7)

4,10.00000.00000.00000.00000.00000.00000.0000d(4,1)4,20.00000.00000.00000.00000.00000.00000.0000d(4,2)4,30.00000.00000.00000.00000.00000.00000.0000d(4,3)4,50.00000.00000.00000.00000.00000.00000.0000d(4,5)4,60.00000.00000.00000.00000.00000.00000.0000d(4,6)4,70.00000.00000.00000.00000.00000.00000.0000d(4,7)

5,10.00000.00000.00000.00000.00000.00000.0000d(5,1)5,20.00000.00000.00000.00000.00000.00000.0000d(5,2)5,30.00000.00000.00000.00000.00000.00000.0000d(5,3)5,40.00000.00000.00000.00000.00000.00000.0000d(5,4)5,60.00000.00000.00000.00000.00000.00000.0000d(5,6)5,70.00000.00000.00000.00000.00000.00000.0000d(5,7)

6,10.00000.00000.00000.00000.00000.00000.0000d(6,1)6,20.00000.00000.00000.00000.00000.00000.0000d(6,2)6,30.00000.00000.00000.00000.00000.00000.0000d(6,3)6,40.00000.00000.00000.00000.00000.00000.0000d(6,4)6,50.00000.00000.00000.00000.00000.00000.0000d(6,5)6,70.00000.00000.00000.00000.00000.00000.0000d(6,7)

7,10.00000.00000.00000.00000.00000.00000.0000d(7,1)7,20.00000.00000.00000.00000.00000.00000.0000d(7,2)7,30.00000.00000.00000.00000.00000.00000.0000d(7,3)7,40.00000.00000.00000.00000.00000.00000.0000d(7,4)7,50.00000.00000.00000.00000.00000.00000.0000d(7,5)7,60.00000.00000.00000.00000.00000.00000.0000d(7,6)

Calculation of concordance matrixc(1,2)0.5474c(2,1)0.4525c(3,1)0.8802c(4,1)0.8802c(5,1)0.8802c(6,1)0.7534c(7,1)0.6994c(1,3)0.1148c(2,3)0.1197c(3,2)0.8802c(4,2)0.8802c(5,2)0.8802c(6,2)0.8802c(7,2)0.8802c(1,4)0.1197c(2,4)0.1197c(3,4)0.41885c(4,3)0.58105c(5,3)0.3891c(6,3)0.43c(7,3)0.1268c(1,5)0.1197c(2,5)0.1197c(3,5)0.6386c(4,5)0.6108c(5,4)0.3891c(6,4)0.8802c(7,4)0.2416c(1,6)0.1197c(2,6)0.1197c(3,6)0.5699c(4,6)0.2743c(5,6)0.3891c(6,5)0.6108c(7,5)0.3358c(1,7)0.3005c(2,7)0.1197c(3,7)0.8731c(4,7)0.7583c(5,7)0.6641c(6,7)0.6037c(7,6)0.3962Spearman calculations

Materials ELECTRE IIWPM(Manshadi et al.)Digital logic(Manshadi et al.)Fuzzy logic(Manshadi et al.)EVAMIX(Chatterjee et al.)COPRAS(Chatterjee et al.)M16556563M25677674M31111111M44444435M52222227M63333346M77755752Spearman rank0.96430.83930.83930.96430.8214

WPMdd2sum d2n(n2-1)Spearman rank-1124112400000023360.9643-116833600-52500-3900525

DL-1124000093360.83930000-24

Fuzzy logic-1124000093360.83930000-24

EVAMIX-1111000023360.9643000000

COPRAS002400-11103360.82140011-24

Sheet2

CNCModelTASSPTNTCTMTDPA1Mazak-FH6000250000100003740513522Okuma-MA500HB25000060003040414043Matsuura-HMAX50025000015000226038024Mazak-PFH580025000015000224039525Moriseiki-NVD4000DCG31500012000192038016Dahlil-MCH50025000035001960811017Hyundai-SPTV550D26650010000162449058Excel-PM610T322927418000163359559Challenger-MCV241627360015000816690510Leadwel-MH5002500004000154013125111Eagle-VMC600320000100001122589512Excel-PMCT1830338680001019595513Awea-AV61031500080008206100514Challenger-MCV24122736008000816680515Taksan-TMC500/13000006000716680516Dahlil-MCV51028700080008168901

Sheet3

Max denoAlternative differencesAlternativesAbsolute valuesMax deno0.0061-0.0196-0.00050.0017-0.00290.00310.00001,20.00610.01960.00050.00170.00290.00310.00000.01960.21660.05630.0142-0.07010.01890.02520.01411,30.21660.05630.01420.07010.01890.02520.01410.21660.03480.04170.0168-0.07010.02930.02600.01411,40.03480.04170.01680.07010.02930.02600.01410.07010.03230.02710.0047-0.02240.05030.02700.01231,50.03230.02710.00470.02240.05030.02700.01230.05030.05100.04590.0177-0.07850.04150.00460.01591,60.05100.04590.01770.07850.04150.00460.01590.07850.0616-0.01310.0047-0.07880.00630.00610.01761,70.06160.01310.00470.07880.00630.00610.01760.0788

-0.00610.01960.0005-0.00170.0029-0.00310.00002,10.00610.01960.00050.00170.00290.00310.00000.01960.21050.07590.0148-0.07180.02180.02210.00002,30.21050.07590.01480.07180.02180.02210.00000.21050.02870.06130.0174-0.07180.03230.02290.01412,40.02870.06130.01740.07180.03230.02290.01410.07180.02620.04670.0052-0.02410.05320.02400.01232,50.02620.04670.00520.02410.05320.02400.01230.05320.04490.06550.0182-0.08020.04440.00150.01592,60.04490.06550.01820.08020.04440.00150.01590.08020.05550.00650.0052-0.08040.00920.00310.01762,70.05550.00650.00520.08040.00920.00310.01760.0804

-0.2166-0.0563-0.01420.0701-0.0189-0.0252-0.01413,10.21660.05630.01420.07010.01890.02520.01410.2166-0.2105-0.0759-0.01480.0718-0.0218-0.0221-0.01413,20.21050.07590.01480.07180.02180.02210.01410.2105-0.1818-0.01460.00260.00000.01050.00080.00003,40.18180.01460.00260.00000.01050.00080.00000.1818-0.1843-0.0292-0.00960.04770.03140.0018-0.00183,50.18430.02920.00960.04770.03140.00180.00180.1843-0.1656-0.01040.0035-0.00840.0226-0.02060.00183,60.16560.01040.00350.00840.02260.02060.00180.1656-0.1550-0.0694-0.0096-0.0087-0.0126-0.01910.00353,70.15500.06940.00960.00870.01260.01910.00350.1550

-0.0348-0.0417-0.01680.0701-0.0293-0.0260-0.01414,10.03480.04170.01680.07010.02930.02600.01410.0701-0.0287-0.0613-0.01740.0718-0.0323-0.0229-0.01414,20.02870.06130.01740.07180.03230.02290.01410.07180.18180.0146-0.00260.0000-0.0105-0.00080.00004,30.18180.01460.00260.00000.01050.00080.00000.1818-0.0025-0.0146-0.01220.04770.02100.0011-0.00184,50.00250.01460.01220.04770.02100.00110.00180.04770.01620.00420.0009-0.00840.0122-0.02140.00184,60.01620.00420.00090.00840.01220.02140.00180.02140.0268-0.0548-0.0122-0.0087-0.0230-0.01990.00354,70.02680.05480.01220.00870.02300.01990.00350.0548

-0.0323-0.0271-0.00470.0224-0.0503-0.0270-0.01235,10.03230.02710.00470.02240.05030.02700.01230.0503-0.0262-0.0467-0.00520.0241-0.0532-0.0240-0.01235,20.02620.04670.00520.02410.05320.02400.01230.05320.18430.02920.0096-0.0477-0.0314-0.00180.00185,30.18430.02920.00960.04770.03140.00180.00180.18430.00250.01460.0122-0.0477-0.0210-0.00110.00185,40.00250.01460.01220.04770.02100.00110.00180.04770.01870.01880.0130-0.0561-0.0088-0.02240.00355,60.01870.01880.01300.05610.00880.02240.00350.05610.0293-0.04020.0000-0.0564-0.0440-0.02090.00535,70.02930.04020.00000.05640.04400.02090.00530.0564

-0.0510-0.0459-0.01770.0785-0.0415-0.0046-0.01596,10.05100.04590.01770.07850.04150.00460.01590.0785-0.0449-0.0655-0.01820.0802-0.0444-0.0015-0.01596,20.04490.06550.01820.08020.04440.00150.01590.08020.16560.0104-0.00350.0084-0.02260.0206-0.00186,30.16560.01040.00350.00840.02260.02060.00180.1656-0.0162-0.0042-0.00090.0084-0.01220.0214-0.00186,40.01620.00420.00090.00840.01220.02140.00180.0214-0.0187-0.0188-0.01300.05610.00880.0224-0.00356,50.01870.01880.01300.05610.00880.02240.00350.05610.0106-0.0590-0.0130-0.0003-0.03520.00150.00186,70.01060.05900.01300.00030.03520.00150.00180.0590

-0.06160.0131-0.00470.0788-0.0063-0.0061-0.01767,10.06160.01310.00470.07880.00630.00610.01760.0788-0.0555-0.0065-0.00520.0804-0.0092-0.0031-0.01767,20.05550.00650.00520.08040.00920.00310.01760.08040.15500.06940.00960.00870.01260.0191-0.00357,30.15500.06940.00960.00870.01260.01910.00350.1550-0.02680.05480.01220.00870.02300.0199-0.00357,40.02680.05480.01220.00870.02300.01990.00350.0548-0.02930.04020.00000.05640.04400.0209-0.00537,50.02930.04020.00000.05640.04400.02090.00530.0564-0.01060.05900.01300.00030.0352-0.0015-0.00187,60.01060.05900.01300.00030.03520.00150.00180.0590