Generalized consistency and intensity vectors for comparison matrices

International Journal of Intelligent Systems

Volumn 22, Issue 12, 2007, Pages 1287-1300

  D'Apuzzo, L ^a   Marcarelli, G ^b   Squillante, M ^b  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^b UNIVERSITY OF SANNIO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

DECISION MAKING; NUMERICAL METHODS; PROBLEM SOLVING; SET THEORY; VECTORS;

HYPOTHESIS; MULTICRITERIA DECISION MAKING; PAIRWISE COMPARISON MATRIX; VECTOR ENCODING;

MATRIX ALGEBRA;

EID: 36749104184     PISSN: 08848173     EISSN: 1098111X     Source Type: Journal    
DOI: 10.1002/int.7021     Document Type: Article

References (13)

1. Saaty TL. The analytic hierarchy process. New York: McGraw-Hill; 1980.
2. Narasimhan R. A geometric averaging procedure for constructing super transitive approximation to binary comparison matrices. Fuzzy Set Syst 1982;8:53-56.
3. Saaty TL. Axiomatic foundation of the analytic hierarchy process. Manag Sci 1986;32:841-855.
4. Saaty TL. Decision making for leaders. Pittsburgh, PA: University of Pittsburgh; 1988.
5. Saaty TL. Eigenvector and logarithmic least squares. Eur J Oper Res 1990;48:156-160.
6. Basile L, D'Apuzzo L. Ranking and weak consistency in the A.H.P. context. Rivista di Matematica per le Scienze Economiche e Sociali 1997;20:99-109.
7. Basile L, D'Apuzzo L. Weak consistency and quasi-linear means imply the actual ranking. Int J Uncertainty Fuzziness Knowl Base Syst 2002;10:227-239.
8. Basile L, D'Apuzzo L. Matrici di valutazione ordinale e matrici Intensità. In: Angeli F, editor. Metodi, Modelli e tecnologie dell'informazione a supporto delle decisioni. 2006: ISBN 88-464-7440-6.
9. Basile L, D'Apuzzo L. Transitive matrices, strict preference and ordinal evaluation operators. Soft Comput 2006;10:933-940.
10. Basile L, D'Apuzzo L. Transitive matrices, strict preference and intensity operators. Math Methods Econ Fin 2006;1:21-36.
11. Aczel J. Lectures on functional equation and their applications. New York: Academic Press; 1966.
12. Aczel J, Saaty TL. Procedures for synthesizing ratio judgements. J Math Psychol 1983;27:93-102.
13. Basile L, D'Apuzzo L. Ordering for classes of aggregation operators. Int J Uncertainty Fuzziness Knowl Base Syst 1996;4:145-156.