Improving consistency evaluation in fuzzy multi-attribute pairwise comparison-based decision-making methods

Asia-Pacific Journal of Operational Research

Volumn 31, Issue 4, 2014, Pages

  Shams, Farhad ^a   Mohamed, Sherif ^b   Fayek, Aminah Robinson ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

^b GRIFFITH UNIVERSITY   (Australia)

Author keywords

consistency evaluation; Fuzzy multi attribute decision making; linguistic scale; pairwise comparisons; transitivity

Indexed keywords

LINGUISTICS; MATRIX ALGEBRA;

CONSISTENCY EVALUATION; FUZZY MULTI-ATTRIBUTE DECISION MAKINGS; LINGUISTIC SCALE; PAIR-WISE COMPARISON; TRANSITIVITY;

DECISION MAKING;

EID: 84907600445     PISSN: 02175959     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217595914500249     Document Type: Article

References (23)

1. Ali, I, WD Cook and M Kress (1986). Ordinal ranking and intensity of preference: A linear programming approach. Management Science, 32, 1642-1647.
2. Arbel, A (1989). Approximate articulation of preference and priority derivation. European Journal of Operational Research, 43, 317-326.
3. Boender, CGE, JG Graan and FA Lootsma (1989). Multi-criteria decision analysis with fuzzy pairwise comparisons. Fuzzy Sets and Systems, 29, 133-143.
4. Chang, DY (1996). Applications of the extent analysis method on fuzzy AHP. European Journal of Operational Research, 95, 649-655.
5. Deng, H (1999). Multicriteria analysis with fuzzy pairwise comparison. International Journal of Approximate Reasoning, 21, 215-231.
6. Gold Coast City Council website. Flood Mitigation Fact sheet. Available at http://www.goldcoast.qld.gov.au/attachment/flood-mitigation-infosheet-reduce- risk.pdf. Accessed on August 2009.
7. Guh, YY, RW Po and KR Lou (2009). An additive scale model for the analytical hierarchy process. International Journal of Information and Management Science, 20, 71-88.
8. Harker, PT and LG Vargas (1987). The theory of ratio scale estimation: Saaty's analytic hierarchy process. Management Science, 33, 1383-1403.
9. Herrera-Viedma, E, F Herrera, F Chiclana and M Luque (2004). Some issues on consistency of fuzzy preference relations. European Journal of Operational Research, 154, 98-109.
10. Hochbaum, DS and A Levin (2006). Methodologies and algorithms for group-rankings decision. Management Science, 52, 1394-1408.
11. Kahraman, C (2008). Fuzzy Multi-Criteria Decision-Making: Theory and Applications with Recent Developments. New York, USA: Springer Science+Business Media.
12. Kahraman, C, Z Ulukan and E Tolga (1998). A fuzzy weighted evaluation method using objective and subjective measures. International ICSC Symposium on Engineering of Intelligent Systems (EIS'98), University of La Laguna Tenerife, Spain.
13. Leung, LC and D Cao (2000). On consistency and ranking of alternatives in fuzzy AHP. European Journal of Operational Research, 124, 102-113.
14. Lootsma, FA (1988). Numerical scaling of human judgement in pairwise-comparison methods for fuzzy multi-criteria decision analysis, In Mathematical Models for Decision Support, HJ Greenberg, FA Lootsma, MJ Rijckaert, HJ Zimmermann and G Mitra (eds.), New York, NY: Springer-Verlag.
15. Lootsma, FA (1993). Scale sensitivity in the multiplicative AHP and SMART. Journal of Multi-Criteria Decision Analysis, 2, 87-110.
16. Lu, J, G Zhang, D Ruan and F Wu (2007). Multi-Objective Group Decision Making: Methods, Software and Applications with Fuzzy Set Techniques. London: Imperial College Press.
17. Saaty, TL (1980). The Analytical Hierarchy Process. New York, NY: McGraw-Hill.
18. Saaty, TL and PK Kearns (1985). Analytical Planning: The Organization of Systems. Oxford: Pergamon Press.
19. Salo, AA and RP Hämäläinen (1995). Preference programming through approximate ratio comparisons. European Journal of Operational Research, 82, 458-475.
20. Salo, AA (1996). On fuzzy ratio comparisons in hierarchical decision models. Fuzzy Sets and Systems, 84, 21-32.
21. Triantaphyllou, E, FA Lootsma, PM Pardalos and SH Mann (1994). On the evaluation and application of different scales for quantifying pairwise comparisons in fuzzy sets. Journal of Multi-Criteria Decision Analysis, 3(3), 133-155.
22. van Laarhoven, PJM and W Pedrycz (1983). A fuzzy extension of Saaty's priority theory. Fuzzy Sets and Systems, 11, 199-227.
23. Zanakis, SH, A Solomon, N Wishart and S Dublish (1998). Multi-attribute decision making: A simulation comparison of select methods. European Journal of Operational Research, 107, 507-529.