VIKOR : VIKOR VIKOR VIKOR

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1 VIKOR * a.yazdan@modares.ac.r -2 z.ahmad@modares.ac.r -3 sko1@str.ac.uk -4 mhbasr@modares.ac.r..... VIKOR.. VIKOR. C VIKOR : -1..[1]....[2] -...[4]

2 :[1] [5]. ( TOPSIS AHP SAW) MADM (2008) WDL (2009) Bazaz Golestanfar.[6] (2005) Cetn Yeslnacar.[7] Ekmekçog.[8] GAP (2010) (2008) Dmtrakopoulos Kumral.[9] (2007) (2010) Galante.[10] -.[1].[11]. VIKOR.[12] VIKOR.. -2

3 .[13] (1965).[9]..[14] X x A -3 ( x ) A. (a, b, c) A. [1 0] xa, a xb, b a x c ( x), b x c, A b c 0, otherwse : [15] A ( x ) (1) VIKOR -4.[16] MCDM 1998.[17] MCDM :[18] () ( ) () ( ) () () () "" (). () Oprcovc (VlseKrterjumsa Optmzacja I Kompromsno Resenje) VIKOR [19] "" "" " " VIKOR..[20] F c.[22] (1982) Zeleny [21] (1973) YU 1 [17] F *. f f f * c f f f * c 1 1 1

4 :1 [23] (2006) Wang VIKOR : (Fuzzy VIKOR) m. :1.[24 n k ) : [17] :1 Very Low (VL) (0.00, 0.00, 0.25) Low (L) (0.00, 0.25, 0.50) Medum (M) (0.25, 0.50, 0.75) Hgh (H) (0.50, 0.75, 1.00) Very Hgh (VH) (0.75, 1.00, 1.00) [17] :2

5 Very Low (VL) (0.00, 0.00, 0.25) Low (L) (0.00, 0.25, 0.50) Medum (M) (0.25, 0.50, 0.75) Hgh (H) (0.50, 0.75, 1.00) Very Hgh (VH) (0.75, 1.00, 1.00). : 3 :[24] n (2) n 1 e w j, j 1, 2,..., k j n w e1 j n :[24] (3) n 1 e w j, j 1, 2,..., k j n w e1 () :4 (4) C 1 C 2... C k x x... x x x... x D x x... x n n m1 m2 mn A 1 A 2. [ 1 2 = 1,2,, m; j=1,2,, k w, w,..., w k], j= 1, 2,, k w

6 f mn x, f max x j j w j Cj A.(FWV) (FBV) :5 x j (5) :[1724] R s :6 (6) n / S w f x f f j j j j j j1 (7) R max w f x / f f j j j j j j A R FBV A FBV. j :[1724], s, * R, R, Q s s * :7 S max S, S mn S R mn R, R max R / 1 / Q v S S S S v R R R R j (8) (9) (10) v>0.5. v. v=0.5 Q Q :8.. : 9. :[ ] [C1] Q

7 (11) Q a Qa DQ (12) 1 DQ ( DQ 0.25 f m 4) m 1 Ra ( ). Sa ( ) a Qa ( ) : ( m) a [C2]. a, a,..., a. a a [C2] ( m) Qa ( ) Qa ( ) DQ [C1] ( m). a a. Q Qa ( ). : ) 60 -.( ( 7) :2

8 -6 1 : 3 2 (C2) (C1) ( C6) (C5) (C4) (C3) (C11) (C10) (C9) (C8) (C7). 3 (C13) (C12) (4) (A, B, C, D) (C2) (C1) (C4) (C3) (C6) (C5) (C8) (C7) (C10) (C9) (C12) (C13) (C11) Dump A Dump B Dump C Dump D :3

9 :4. -7 VIKOR TFNs VIKOR : : : 1) 2.( :3.

10 :3 D1 D2 D3 D4 D5 C1 H VH H H M C2 VH VH H VH H C3 H VH H H H C4 H H VH M H C5 VH H VH H VH C6 M H L M M C7 M VH H H H C8 L M H M M C9 VL M M L M C10 H M VH H H C11 L L M M H C12 M H M H M C13 M H M H H :4

11 . :4 5 (2) :5 C C C C C C C C C C C C C (3). 6. :6

12 8 7 f * f :(FWV) (FBV) : 5 * f : f : R s : 6. (7) (6) R S 9

13 R :9 s A B C D S (3.25, 5.1, 6.59) (2.39, 3.84, 5.15) (2.2, 3.43, 4.42) (1.88, 3.09, 4.2) (0.65, 0.9, 1.00) (0.50, 0.75, 0.95) (0.65, 0.90, 1.00) (0.32, 0.48, 0.63) R, S, * R, R, Q S * :7. 10 (9) (8), S *, R, R S * :10 S (1.88, 3.09, 4.2) * (3.25, 5.1, 6.59) S R (0.32, 0.48, 0.63) * (0.65, 0.90, 1.00) R 11 Q Q : 8 Q Q :11 Q Q Rank A (0.77, 1.06, 1.09) B (0.36, 0.54, 0.66) C (0.50, 0.62, 0.53) D (0.00, 0.00, 0.00) 0 1, Qa Qa : 9 :1 Qa Q a 12 :2

14 R Q :12 S Rank by Q Rank by S Rank by R D>B>C>A D>C>B>A D>B>B=A. D. : MCDM.. VIKOR. VIKOR. D. VIKOR. R Q, S. [1] Kumral, M., Dmtrakopoulos, R., (2008). Selecton of waste dump stes usng a tabu search algorthm. The Journal of The Southern Afrcan Insttute of Mnng and Metallurgy, Vol. 108, pp [2] Bell, F. G., Donnelly, L. J., (2006). Mnng and ts Impact on the Envronment, chapter 7, page 342. [3] Zahl, E. G, Boldt, C.M.K., Bggs, F., Connolly, R. E., Gertsch, L., Lambeth, R. H., Stewart, B. M., Vckery, J. D., (1992). Waste dsposal and contamnant control, MINING ENGINEERING HANDBOOK, SME, Chapter 12.2, pp [4] O Leary, P. R., Tchobanoglous, G., (2002). Handbook of sold waste management, Chapter 14. [5] Morrssey, A.J., Browne, J., (2004). Waste management models and ther applcaton to sustanable waste management. Waste Management 24, pp [6] Hekmat, A., Osanloo, M., Shraz, M. A., (2008). New approach for selecton of waste dump stes n open pt mnes. Mnng Technology, Vol. 117, NO. 1, [7] Golestanfar, M., Bazaz, A. A., (2009). Group selecton of waste dump ste n open pt mnes by usng WDL algorthm n uncertanly condton. Proceedng of the Seventh Iranan Students Conference of Mnng Engneerng, pp [8] Yeslnacar, M. I., Cetn, H., (2005). Ste selecton for hazardous wastes: A case study from the GAP area, Turkey. Engneerng Geology 81, pp [9] Ekmekçoglu, M., Kaya, T., Kahraman, G., (2010). Fuzzy multcrtera dsposal method and ste selecton for muncpal sold waste. Waste Management, n press. [10] Oraee, K., Goodarz, A., (2007). General approach to dstrbute waste rocks between dump stes n open cast mnes, MPES, pp

15 [11] Galante, G., Aello, G., Enea, M., Panasca, E., (2010). A mult-objectve approach to sold waste management. Waste Management, n press. [12] Musee, N., Aldrch, C., Lorenzen, L., (2008). New methodology for hazardous waste classfcaton usng fuzzy set theory Part II. Intellgent decson support system. Journal of Hazardous Materals 157, pp [13] Zadeh, A.L., (1965). Fuzzy sets. Info. Cont. 8, [14] Wang, J., Jng, Y., Zhang, C., Zhao, J., (2009). Revew on mult-crtera decson analyss ad n sustanable energy decson-makng. Renewable and Sustanable Energy Revews 13, [15] Dursu, M., Karsak, E. E., (2010). A fuzzy MCDM approach for personnel selecton. Expert Systems wth Applcatons 37, [16] Oprcovc, S., Tzeng, G. H., (2007). Extended VIKOR method n comparson wth outrankng methods, European Journal of Operatonal Research 178, [17] Wang, T. Ch., Lang, J. L., Ho, Ch. Y., Mult-Crtera Decson Analyss by Usng Fuzzy VIKOR. IEEE. [18] Oprcovc, S., Tzeng, G. H., (2004). Compromse soluton by MCDM methods: A comparatve analyss of VIKOR and TOPSIS. European Journal of Operatonal Research 156, [19] Oprcovc, S., (1998). Multcrtera optmzaton of cvl engneerng systems, Faculty of Cvl Engneerng, Belgrade. [20] Huang, Y., Yan, Y., Qu, Zh., (2009). Research on Supply-Chan-Based Logstcs Servce Capablty by Combnaton Weghtng Method and Fuzzy VIKOR Algorthm, Internatonal Conference on Measurng Technology and Mechatroncs Automaton, IEEE, [21] Yu, P. L., (1973). A class of solutons for group decson problems. Management Scence 19 (8), pp [22] Zeleny, M., (1982). Multple Crtera Decson Makng. I sted, NY: McGraw-Hll. [23] Wang, T. Ch., Lang, J. L., Ho, Ch. Y., Mult-Crtera Decson Analyss by Usng Fuzzy VIKOR. IEEE. [24] Chen, L.Y., Wang, T. Ch., (2009). Optmzng partners choce n IS/IT outsourcng projects: The strategc decson of fuzzy VIKOR. Int. J. Producton Economcs 120, [25] Chang, Z., (2009). Developng an Onlne Fnancal Decson Support Module Based on Fuzzy MCDM Method and Open Source Tools. Internatonal Conference on Informaton and Fnancal Engneerng, IEEE, pp [26] Tong, L. I., Chen, Ch. Ch., Wang, Ch. H., (2007). Optmzaton of mult-response processes usng the VIKOR method, Int J Adv Manuf Technol 31,

OPTIMIZATION OF PROCESS PARAMETERS USING AHP AND VIKOR WHEN TURNING AISI 1040 STEEL WITH COATED TOOLS

OPTIMIZATION OF PROCESS PARAMETERS USING AHP AND VIKOR WHEN TURNING AISI 1040 STEEL WITH COATED TOOLS Internatonal Journal of Mechancal Engneerng and Technology (IJMET) Volume 8, Issue 1, January 2017, pp. 241 248, Artcle ID: IJMET_08_01_026 Avalable onlne at http://www.aeme.com/ijmet/ssues.asp?jtype=ijmet&vtype=8&itype=1