With respect to the decision making problems where the information of the attribute weights is incomplete under the intuitionistic fuzzy environment, a decision making method based on the improved VIKOR is developed. Firstly considering the advantage of the intuitionistic fuzzy set in expressing the decision makers’ preference information, the intuitionistic fuzzy evaluation matrices are established. In order to derive the attribute weights from the incomplete attribute information of weights, a linear programming model is proposed. Then the traditional VIKOR method is improved by replacing the distance measure with projection model. Finally an illustrative example is given to prove the practicality and effectiveness of the method proposed.
G.W.Wei, X.F.Zhao and R.Lin, Some hybrid aggregating operators in linguistic decision making with Dempster–Shafer belief structure, Computers and Industrial Engineering65(4) (2013), 646–651.
2.
L.A.Zadeh, Fuzzy sets, Information and Control8(3) (1965), 338–353.
3.
K.T.Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems20(1) (1986), 87–96.
4.
Z.J.Yue, TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting, Information Sciences277(2) (2014), 141–153.
5.
A.Bilbao-Terol, M.Arenas-Parra and V.Cañal-Fernández, Using TOPSIS for assessing the sustainability of government bond funds, Omega49(12) (2014), 1–17.
6.
K.Sen, S.Ghosh and B.Sarkar, Comparison of customer preference for bulk material handling equipment through Fuzzy-AHP approach, Journal of the Institution of Engineers98(3) (2017), 367–377.
7.
S.Çakır, Selecting the best supplier at a steel-producing company under fuzzy environment, International Journal of Advanced Manufacturing Technology88(5) (2017), 1345–1361.
8.
M.Sevkli, An application of the fuzzy ELECTRE method for supplier selection, International Journal of Production Research48(12) (2010), 3393–3405.
9.
A.Zandi and E.Roghanian, Extension of fuzzy ELECTRE based on VIKOR method, Computers and Industrial Engineering66(2) (2013), 258–263.
10.
Y.H.Chen, T.C.Wang and C.Y.Wu, Strategic decisions using the fuzzy PROMETHEE for IS outsourcing, Expert Systems with Applications38(10) (2011), 13216–13222.
11.
H.C.Liao and Z.S.Xu, Multi-criteria decision making with intuitionistic fuzzy PROMETHEE, Journal of Intelligent and Fuzzy Systems27(4) (2014), 1703–1717.
12.
S.Opricovic, Multi-criteria optimization of civil engineering systems, in Faculty of Civil Engineering, Belgrade, (1998).
13.
A.Hamidreza, R.Hossein and S.Eqbal, A framework for subcontractor selection in the construction industry, Journal of Civil Engineering and Management19(2) (2013), 158–168.
14.
S.Vinodh, S.Sarangan and S.C.Vinoth, Application of fuzzy compromise solution method for fit concept selection, Applied Mathematical Modelling38(3) (2014), 1052–1063.
15.
K.Sarrafha, S.H.A.Rahmati, S.T.A.Niaki and A.Zaretalab, A bi-objective integrated procurement, production, and distribution problem of a multi-echelon supply chain network design, Computers & Operations Research54(C) (2015), 35–51.
16.
S.Opricovic and G.H.Tzeng, Multi-criteria Planning of Post-Earthquake Sustainable Reconstruction, Computer-Aided Civil and Infrastructure Engineering17(3) (2010), 211–220.
17.
M.K.Sayadi, M.Heydari and K.Shahanaghi, Extension of VIKOR method for decision making problem with interval numbers, Applied Mathematical Modelling33(5) (2009), 2257–2262.
18.
B.Vahdani, H.Hadipour, J.S.Sadaghiani and A.Amiri, Extension of VIKOR method based on interval-valued fuzzy sets, International Journal of Advanced Manufacturing Technology47(9–12) (2010), 1231–1239.
19.
S.P.Wan, Q.Y.Wang and J.Y.Dong, The extended VIKOR method for multi-attribute group decision making with triangular intuitionistic fuzzy numbers, Knowledge-Based Systems52(6) (2013), 65–77.
20.
A.Sanayei, S.F.Mousavi and A.Yazdankhah, Group decision making process for supplier selection with VIKOR under fuzzy environment, Expert Systems with Applications37(1) (2010), 24–30.
21.
A.Shemshadi, H.Shirazi, M.Toreihi and M.J.Tarokh, A fuzzy VIKOR method for supplier selection based on entropy measure for objective weighting, Expert Systems with Applications38(10) (2011), 12160–12167.
22.
X.Y.You, J.X.You, H.C.Liu and L.Zhen, Group multi-criteria supplier selection using an extended VIKOR method with interval 2-tuple linguistic information, Expert Systems with Applications, 42(4) (2015), 1906–1916.
23.
S.Opricovic and G.H.Tzeng, Fuzzy Multi-criteria Model for Post-earthquake Land-Use Planning, Natural Hazards Review4(2) (2003), 59–64.
24.
H.P.Jin, H.J.Cho and Y.C.Kwun, Extension of the VIKOR method to dynamic intuitionistic fuzzy multipleattribute decision making, Computers & Mathematics with Applications65(4) (2013), 731–744.
25.
P.Chatterjee, V.M.Athawale and S.Chakraborty, Selection of industrial robots using compromise ranking and outranking methods, International Journal of Industrial & Systems Engineering26(5) (2010), 483–489.
26.
F.Mohammadi, M.K.Sadi, F.Nateghi and M.Skitmore, A hybrid quality function deployment and cybernetic analytic network process model for project manager selection, in Journal of Civil Engineering & Management20(6) (2014), 795–809.
27.
S.C.Chang, P.H.Tsai and S.C.Chang, A hybrid fuzzy model for selecting and evaluating the e-book business model: A case study on Taiwan e-book firms, Applied Soft Computing34(C) (2015), 194–204.
28.
H.Safari, Z.Faraji and S.Majidian, Identifying and evaluating enterprise architecture risks using FMEA and fuzzy VIKOR, Journal of Intelligent Manufacturing27(2) (2016), 475–486.
29.
A.Malekian and A.Azarnivand, Application of Integrated Shannon’s Entropy and VIKOR Techniques in Prioritization of Flood Risk in the Shemshak Watershed, Iran, Water Resources Management30(1) (2016), 409–425.
30.
A.Mardani, A.Jusoh, E.K.Zavadskas, N.Zakuan, A.Alipour and M.Kazemilari, Proposing a new hierarchical framework for the evaluation of quality management practices: A new combined fuzzy hybrid MCDM approach, Journal of Business Economics & Management17(1) (2016), 1–16.
31.
M.Ashtiani and M.A.Azgomi, Trust modeling based on a combination of fuzzy analytic hierarchy process and fuzzy VIKOR, Soft Computing20(1) (2014), 1–23.
32.
S.Opricovic and G.-H.Tzeng, Compromise solution by MCDM methods: A comparative analysis of VIKOR and TOPSIS, European Journal of Operational Research156(2) (2004), 445–455.
33.
Z.S.Xu and H.Hu, Projection models for intuitionistic fuzzy multiple attribute decision making, International Journal of Information Technology and Decision Making09(2) (2010), 267–280.
S.H.Kim and B.S.Ahn, Interactive group decision making procedure under incomplete information, European Journal of Operational Research116(3) (1999), 498–507.
