The methodology of improvement of consistent in Saaty's matrix judgments

• Autorzy: Piech H.
• Języki publikacji: EN

Abstrakty

EN

Expert judgments presented as Saaty's matrix usually isn't consistent. In paper we propose simple iterative methods to improve level of consistent. This method based on feature of ideal consistent matrix. On the other hand, we understand that corrections (changes) of judgments shouldn't be carry out on a big scale (bigger then given determinant). Sometimes we try to limit corrective increments variance.

Słowa kluczowe

EN

expert judgments; methodology of improvement

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2008
• Tom: Vol. 7, nr 1
• Strony: 159--170
• Opis fizyczny: Bibliogr. 11 poz., rys., tab.

Twórcy

autor

Piech H.

• Czestochowa University of Technology, Poland,

Bibliografia

• [1] Aguaron J., Escobar M.T., Moreno-Jimenez J.M., Consistency stability intervals for judgement in AHP decision support systems, European Journal of Operational Research 2003, 145, 382-393.
• [2] Arbel A., A linear programming approach for processing approximate articulation of preference, (in:) P. Korhonen, A. Lewandowski, J. Wallenus, (Eds.), Multiple Criteria Decision Suport, Lecture Notes in Economics and Mathematical Systems, vol. 356, Springer-Verlag, Berlin 1991, 79-86.
• [3] Arbel A., Approximate articulation of preference and priority derivation, European Journal of Operation Research 1989, 43, 317-326.
• [4] Saaty T.L., A scaling method for priorities in hierarchical structures, Journal of Mathematical Psychology 1977, 15, 234-281.
• [5] Saaty T.L., Fundamentals of Decision Making and Priority Theory with the Analytic Hierarchy Process, RWS Publications, Pittsburgh 1994.
• [6] Saaty T.L., The Analitic Hierarchy Process, McGraw-Hill, New York 1980.
• [7] Saaty T.L., Multicriteria Decision Making: Analytic Hierarchy Process, RWS Publications, Pittsburgh 1994.
• [8] Johanshahoo G.R., Hoseinzadeh F., et al, An algorithmic method to extend TOPSIS for decision-making problems with interval data, Applied Mathematics and Computation 2006, 175, 1375-1384.
• [9] Mikhailov L., Group prioritization in the AHP by fuzzy preference programming method,Computer and Operation Research 2004, 31, 293-301.
• [10] Kress M., Approximate articulation of preference and priority derivation - a comment, European Journal of Operational Research 1991, 52, 382-383.
• [11] Belton V., Gear T., On a short - coming of Saaty’s method of analytic hierarchies, Omega 1983, 11, 228-230.