Investigating properties of the ⊙-consistency index

Communications in Computer and Information Science

Volumn 300 CCIS, Issue PART 4, 2012, Pages 315-327

  Cavallo, Bice ^a   D'Apuzzo, Livia ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

abelian linearly ordered group; consistency index; Multi Criteria Decision Making; Pairwise comparison matrices

Indexed keywords

ABELIAN LINEARLY ORDERED GROUP; BASIC PROPERTIES; CONSISTENCY INDEX; CONSISTENCY MEASURES; MULTI-CRITERIA DECISION MAKING; PAIR-WISE COMPARISON;

ARTIFICIAL INTELLIGENCE; DATA PROCESSING; KNOWLEDGE BASED SYSTEMS;

INFORMATION MANAGEMENT;

EID: 84868271211     PISSN: 18650929     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-31724-8_33     Document Type: Conference Paper

References (23)

1. Aguarón, J., Moreno-Jiménez, J.M.: The geometric consistency index: Approximated thresholds. European Journal of Operational Research 147(1), 137-145 (2003)
2. Barzilai, J.: Consistency measures for pairwise comparison matrices. Journal of Multi-Criteria Decision Analysis 7(3), 123-132 (1998)
3. Basile, L., D'Apuzzo, L.: Ranking and weak consistency in the a.h.p. context. Rivista di Matematica per le Scienze Economiche e Sociali 20(1), 99-110 (1997)
4. Basile, L., D'Apuzzo, L.: Weak consistency and quasi-linear means imply the actual ranking. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 10(3), 227-239 (2002)
5. Basile, L., D'Apuzzo, L.: Transitive matrices, strict preference and intensity operators. Mathematical Methods in Economics and Finance 1, 21-36 (2006)
6. Basile, L., D'Apuzzo, L.: Transitive matrices, strict preference and ordinal evaluation operators. Soft Computing 10(10), 933-940 (2006)
7. Brunelli, M., Fedrizzi, M.: Characterizing properties for inconsistency indices in the ahp. In: ISAHP (2011)
8. Brunelli, M.: A note on the article inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean. Fuzzy Sets and Systems 161, 1604-1613 (2010);
9. Fuzzy Sets and Systems 176(1), 76-78 (2011)
10. Cavallo, B., D'Apuzzo, L.: A general unified framework for pairwise comparison matrices in multicriterial methods. International Journal of Intelligent Systems 24(4), 377-398 (2009)
11. Cavallo, B., D'Apuzzo, L.: Characterizations of consistent pairwise comparison matrices over abelian linearly ordered groups. International Journal of Intelligent Systems 25(10), 1035-1059 (2010)
12. Cavallo, B., D'Apuzzo, L., Squillante, M.: Building Consistent Pairwise Comparison Matrices over Abelian Linearly Ordered Groups. In: Rossi, F., Tsoukias, A. (eds.) ADT 2009. LNCS (LNAI), vol. 5783, pp. 237-248. Springer, Heidelberg (2009)
13. Cavallo, B., D'Apuzzo, L., Squillante, M.: About a consistency index for pairwise comparison matrices over a divisible alo-group. International Journal of Intelligent Systems 27(2), 153-175 (2012)
14. Cavallo, B., D'Apuzzo, L.: Deriving weights from a pairwise comparison matrix over an alo-group. Soft Computing - A Fusion of Foundations, Methodologies and Applications 16(2), 353-366 (2012)
15. Crawford, G., Williams, C.: A note on the analysis of subjective judgment matrices. Journal of Mathematical Psychology 29(4), 387-405 (1985)
16. D'Apuzzo, L., Marcarelli, G., Squillante, M.: Generalized consistency and intensity vectors for comparison matrices. International Journal of Intelligent Systems 22(12), 1287-1300 (2007)
17. Golden, B.L., Wang, Q.: An alternate measure of consistency. In: Golden, B.L., Wasil, E.A., Harker, P.T. (eds.) The Analythic Hierarchy Process, Applications and Studies, pp. 68-81. Springer, Heidelberg (1989)
18. Herrera-Viedma, E., Herrera, F., Chiclana, F., Luque, M.: Some issue on consistency of fuzzy preferences relations. European Journal of Operational Research 154, 98-109 (2004)
19. Peláez, J.I., Lamata, M.T.: A new measure of consistency for positive reciprocal matrices. Computers & Mathematics with Applications 46(12), 1839-1845 (2003)
20. Ramík, J., Korviny, P.: Inconsistency of pair-wise comparison matrix with fuzzy elements based on geometric mean. Fuzzy Sets Syst. 161, 1604-1613 (2010)
21. Saaty, T.L.: A scaling method for priorities in hierarchical structures. J. Math. Psychology 15, 234-281 (1977)
22. Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
23. Saaty, T.L.: Axiomatic foundation of the analytic hierarchy process. Management Science 32(7), 841-855 (1986)