Investigating Properties of the ⊙-Consistency Index

作者: Bice Cavallo , Livia D’Apuzzo

DOI: 10.1007/978-3-642-31724-8_33

关键词: Pairwise comparisonMathematicsConsistency indexLinearly ordered groupMeasure (mathematics)Consistency (statistics)Discrete mathematicsAbelian group

摘要: We consider pairwise comparison matrices on a real divisible and continuous abelian linearly ordered group $\mathcal{G}= (G, \odot, \leq)$ , focusing on a proposed ⊙-consistency …

参考文章(23)
Thomas L. Saaty, Axiomatic foundation of the analytic hierarchy process Management Science. ,vol. 32, pp. 841- 855 ,(1986) , 10.1287/MNSC.32.7.841
Jonathan Barzilai, Consistency Measures for Pairwise Comparison Matrices Journal of Multi-criteria Decision Analysis. ,vol. 7, pp. 123- 132 ,(1998) , 10.1002/(SICI)1099-1360(199805)7:3<123::AID-MCDA181>3.0.CO;2-8
Algorithmic Decision Theory Springer Berlin Heidelberg. ,(2009) , 10.1007/978-3-642-04428-1
Michele Fedrizzi, Matteo Brunelli, CHARACTERIZING PROPERTIES FOR INCONSISTENCY INDICES IN THE AHP Creative Decisions Foundation. ,(2011) , 10.13033/ISAHP.Y2011.049
Bruce L. Golden, Qiwen Wang, An Alternate Measure of Consistency Springer Berlin Heidelberg. pp. 68- 81 ,(1989) , 10.1007/978-3-642-50244-6_5
Bice Cavallo, Livia D’Apuzzo, Massimo Squillante, Building Consistent Pairwise Comparison Matrices over Abelian Linearly Ordered Groups algorithmic decision theory. pp. 237- 248 ,(2009) , 10.1007/978-3-642-04428-1_21
Luciano Basile, Livia D’Apuzzo, Ranking and weak consistency in the A.H.P. context Rivista Di Matematica Per Le Scienze Economiche E Sociali. ,vol. 20, pp. 99- 109 ,(1997) , 10.1007/BF02688991
B. Cavallo, L. D'Apuzzo, M. Squillante, About a consistency index for pairwise comparison matrices over a divisible alo-group International Journal of Intelligent Systems. ,vol. 27, pp. 153- 175 ,(2012) , 10.1002/INT.21518
LUCIANO BASILE, LIVIA D'APUZZO, Weak consistency and Quasi-linear means imply the actual ranking International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 10, pp. 227- 239 ,(2002) , 10.1142/S0218488502001454