VIKOR method - Wikipedia
multi-criteria-decision-makingoperations-researchoptimization
Abstraction: Multi-criteria compromise ranking method minimizing group utility and individual regret
Key points:
- Developed by Serafim Opricović (1979 dissertation, 1980 publication); name is Serbian acronym for "Multicriteria Optimization and Compromise Solution"
- Computes S (weighted normalized Manhattan distance to ideal) and R (weighted normalized Chebyshev distance) for each alternative
- Final score Q = v(S-S)/(S^-S) + (1-v)(R-R)/(R^-R); v weights group utility vs individual regret; v=0.5 for consensus
- Compromise solution requires two conditions: acceptable advantage gap Q(A2)-Q(A1) >= 1/(J-1), and stability (A1 best in S or R)
- Compared to TOPSIS, ELECTRE, PROMETHEE; Fuzzy VIKOR extension handles imprecise criteria using triangular fuzzy numbers
- Most cited MCDM paper in Economics (Science Watch, April 2009) was the 2004 Opricović-Tzeng VIKOR vs TOPSIS comparison
Connections: Multi Criteria Decision Making · Compromise Ranking · Vikor