A method for dealing with inconsistencies in pairwise comparisons

European Journal of Operational Research

Volumn 158, Issue 2, 2004, Pages 351-361

  González Pachón, Jacinto ^a   Romero, Carlos ^b  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Distance based methods; Goal programming; Pairwise comparison

Indexed keywords

APPROXIMATION THEORY; COMPUTER PROGRAMMING; DECISION MAKING; INFERENCE ENGINES; MATRIX ALGEBRA; OPTIMIZATION; SET THEORY;

DISTANCE-BASED METHODS; GOAL PROGRAMMING; INCONSISTENCIES; PAIRWISE COMPARISON;

PHASE COMPARATORS;

EID: 2642566033     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ejor.2003.06.009     Document Type: Article

References (13)

1. Crawford G. The geometric mean procedure for estimating the scale of judgement matrix. Mathematical Modelling. 9:1987;227-334.
2. Chu M.T. On the optimal consistent approximation to pairwise comparison matrices. Linear Algebra and its Applications. 272:1998;155-168.
3. Gass S.I. Tournaments, transitivity and pairwise comparison matrices. Journal of the Operational Research Society. 49:1998;616-624.
4. González-Pachón J., Romero C. Distance-based consensus methods: A goal programming approach. Omega. 27:1999;341-347.
5. González-Pachón J., Rodríguez-Galiano M.I., Romero C. Transitive approximation to pairwise comparison matrices by using interval goal programming. Journal of the Operational Research Society. 54(5):2003;532-538.
6. Herman M.W., Koczkodaj W. A Monte Carlo study of pairwise comparison. Information Processing Letters. 57:1996;25-29.
7. Ignizio J.P., Cavalier T.M. Linear Programming. 1994;Prentice-Hall, New Jersey.
8. Koczkodaj W., Orlowski M. Computing a consistent approximation to a generalized pairwise comparisons matrix. Computers and Mathematics with Applications. 37:1999;79-85.
9. Roberts F.S. Measurement Theory. 1979;Addison-Wesley, Reading, MA.
10. Romero C. Handbook of Critical Issues in Goal Programming. 1991;Pergamon Press, Oxford.
11. Romero C. Extended lexicographic goal programming: a unifying approach. Omega. 29:2001;63-71.
12. Saaty T.L. The Analytic Hierarchy Process. 1980;McGraw-Hill, New York.
13. Wei T.H. The Algebraic Foundations of Ranking Theory. 1952;Cambridge University Press, London.