A novel three-stage distance-based consensus ranking method

Subject Areas : Mathematical Optimization

Nazila Aghayi ¹ , Madjid Tavana ²

1 - Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran
2 - Business Systems and Analytics Department, Lindback Distinguished Chair of Information Systems and Decision Sciences, La Salle University, Philadelphia, PA, 19141, USA|Business Information Systems Department, Faculty of Business Administration and Economics, University of Paderborn, 33098, Paderborn, Germany

Received: 2020-10-08 Accepted : 2020-10-08 Published : 2020-03-01

Keywords:

References:

Andersen P, Petersen NC (1993) A procedure for ranking efficient units in data envelopment analysis. Manage Sci
39(10):1261–1294
Beck MP, Lin BW (1983) Some heuristics for the consensus ranking problem. Comput Oper Res 10(1):1–7
Contreras I (2010) A distance-based consensus model with flexible choice of rank-position weights. Group Decis Negot 19:441–456
Contreras I (2011) A DEA-inspired procedure for the aggregation of preferences. Expert Syst Appl 38:564–570
Contreras I (2012) Optimizing the rank position of the DMU as secondary goal in DEA cross-evaluation. Appl Math Model
36(6):2642–2648
Contreras I, Hinojosa MA, Ma´rmol AM (2005) A class of flexible weight indices for ranking alternatives. IMA J Manag Math 16(1):71–85
Cook WD, Kress M (1985) Ordinal ranking with intensity of preference. Manage Sci 31(1):26–32
Cook WD, Kress M (1990) A data envelopment model for aggregating preference rankings. Manage Sci 36:1302–1310
Cook WD, Kress M (1996) An extreme-point approach for obtaining weighted ratings in qualitative multi criteria decision making. Nav Res Logist 43(4):519–531
Ding SH, Kamaruddin S (2015) Assessment of distance-based multiattribute group decision-making methods from a maintenance strategy perspective. J Ind Eng Int 11(1):73–85
Doyle J, Green R (1994) Efficiency and cross-efficiency in DEA: derivations, meanings and uses. J Oper Res Soc 45:567–578
Doyle J, Green RH (1995) Cross-evaluation in DEA: improving discrimination among DMUs. INFOR 33:205–222
Ebrahimnejad A, Tavana M, Santos-Arteaga FJ (2016) An integrated data envelopment analysis and simulation method for group consensus ranking. Math Comput Simul 119:1–17
Foroughi AA, Tamiz M (2005) An effective total ranking model for a ranked voting system. Omega 33:491–496
Gong ZW, Xu XX, Zhang HH, Ozturk UA, Herrera-Viedma E, Xu C (2015) The consensus models with interval preference opinions and their economic interpretation. Omega 55:81–90
Gong Z, Zhang N, Li KW, Martı´nez L, Zhao W (2018) Consensus decision models for preferential voting with abstentions. Comput Ind Eng 115:670–682
Green RH, Doyle JR, Cook WD (1996) Preference voting and project ranking using DEA and cross-evaluation. Eur J Oper Res 90(3):461–472
Hafezalkotob A, Hafezalkotob A (2017) Interval MULTIMOORA method with target values of attributes based on interval distance and preference degree: biomaterials selection. J Ind Eng Int 13(2):181–198
Hashimoto A (1996) DEA selection system for selection examinations. J Oper Res Soc Jpn 39(4):475–485

Hashimoto A (1997) A ranked voting system using a DEA/AR exclusion model, a note. Eur J Oper Res 97:600–604
Hashimoto H, Ishikawa H (1993) Using DEA to evaluate the state of society as measured by multiple social indicators. Socioecon Plann Sci 27(4):257–268
Hosseinzadeh Lotfi F, Rostamy-Malkhalifeh M, Aghayi N, Gelej Beigi Z, Gholami K (2013) An improved method for ranking
alternatives in multiple criteria decision analysis. Appl Math Model 37(1–2):25–33
Jahanshahloo GR, Hosseinzadeh Lotfi F, Shoja N, Tohidi G, Razavian S (2004) Ranking by using L1-norm in data envelopment analysis. Appl Math Comput 153:215–224
Liamazares B, Pena T (2009) Preference aggregation and DEA: an analysis of the methods proposed to discriminate efficient candidates. Eur J Oper Res 197:714–721
Lianga L, Wua J, Cook WD, Zhu J (2008) Alternative secondary goals in DEA cross-efficiency evaluation. Int J Prod Econ
113:1025–1030
Liu Y, Liang C, Chiclana F, Wu J (2017) A trust induced recommendation mechanism for reaching consensus in group
decision making. Knowl-Based Syst 119:221–231
Noguchi H, Ogawa M, Ishii H (2002) The appropriate total ranking method using DEA for multiple categorized purposes. J Comput Appl Math 146:155–166
Obata T, Ishii H (2003) A method for discriminating efficient candidates with ranked voting data. Eur J Oper Res 151:233–237

Sexton TR, Silkman RH, Hogan AJ (1986) Data envelopment analysis: Critique and extensions. In: Silkman RH (ed) Measuring efficiency: an assessment of data envelopment analysis, vol 32. Jossey-Bass, San Francisco, pp 73–105
Soltanifar M, Hosseinzadeh Lotfi F (2011) The voting analytic hierarchy process method for discriminating among efficient
decision making units in data envelopment analysis. Comput Ind Eng 60:585–592
Tavana M, LoPinto F, Smither JW (2007) A hybrid distance-based ideal-seeking consensus ranking model. J Appl Math Decis Sci 11:1–18
Tavana M, LoPinto F, Smither JW (2008) Examination of the similarity between a new sigmoid function-based consensus
ranking method and four commonly-used algorithms. Int J Oper Res 3(4):384–398
Thompson RG Jr, Singleton FD, Trall RM, Smith BA (1986) Comparative site evaluations for locating a high-energy physics
lab in Texas. Interfaces 16(6):35–49
Tohidi G, Razavyan S (2012) An L1-norm method for generating all of efficient solutions of multi-objective integer linear programming problem. J Ind Eng Int 8(1):17
Wang YM, Chin KS (2007) Discriminating DEA efficient candidates by considering their least relative total scores. J Comput Appl Math 206:209–215
Wang NS, Yia RH, Liu D (2008) A solution method to the problem proposed by Wang in voting systems. J Comput Appl Math 221:106–113
Wu J, Dai L, Chiclana F, Fujita H, Herrera-Viedma E (2018) A minimum adjustment cost feedback mechanism-based consensus model for group decision making under social network with distributed linguistic trust. Inf Fusion 41:232–242
Zerafat Angiz L, Emrouznejad M, Mustafa A, Rashidi Komijan A (2009) Selecting the most preferable alternatives in a group decision making problem using DEA. Expert Syst Appl 36:9599–9602
Zhang N, Gong ZW, Chiclana F (2017) Minimum cost consensus models based on random opinions. Expert Syst Appl 89:149–159
Ziari S (2016) An alternative transformation in ranking using l1-norm in data envelopment analysis. J Ind Eng Int 12(3):401–405 
Ziari S, Raissi S (2016) Ranking efficient DMUs using minimizing distance in DEA. J Ind Eng Int 12(2):237–242