Establishing dominance between strategies with interval judgments of state probabilities

Omega (United Kingdom)

Volumn 49, Issue , 2014, Pages 53-59

  Ahn, Byeong Seok ^a   Park, Haechurl ^a  

^a DongJak Gu   (South Korea)

Author keywords

Change of variables; Decision making under uncertainty; Dominance; Extreme points; Interval probabilities

Indexed keywords

HEURISTIC METHODS; UNCERTAINTY ANALYSIS;

CHANGE OF VARIABLES; DECISION MAKERS; DECISION MAKING UNDER UNCERTAINTY; DOMINANCE; EXTREME POINTS; INTERVAL PROBABILITY; POINT ESTIMATE; PRECISE MEASUREMENTS; STATE PROBABILITY; UNCERTAIN EVENTS;

DECISION MAKING;

EID: 84902573638     PISSN: 03050483     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.omega.2014.05.007     Document Type: Article

References (39)

1. Weber M. Decision making with incomplete information. European Journal of Operational Research 1987, 28:44-57.
2. Cano A., Moral S. Using probability trees to compute marginals with imprecise probabilities. International Journal of Approximate Reasoning 2002, 29:1-46.
3. Durbach I.N., Stewart T.J. A comparison of simplified value function approaches for treating uncertainty in multi-criteria decision analysis. Omega 2012, 40:456-464.
4. Kreye M.E., Goh Y.M., Newnes L.B., Goodwin P. Approaches to displaying information to assist decisions under uncertainty. Omega 2012, 40:682-692.
5. Stewart T.J., French S., Rios J. Integrating multicriteria decision analysis and scenario planning - review and extension. Omega 2013, 41:679-688.
6. Roy B., Figueira J.R., Almeida-Dias J. Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: theoretical results and practical issues. Omega 2014, 43:9-20.
7. Frank G. Expected utility with ambiguous probabilities and irrational parameters. Theory and Decision 1978, 9:267-283.
8. Langewisch A., Choobineh F. Stochastic dominance tests for ranking alternatives under ambiguity. European Journal of Operational Research 1996, 95:139-154.
9. Fishburn P.C. Analysis of decisions with incomplete knowledge of probabilities. Operations Research 1965, 13:217-237.
10. Moskowitz H., Preckel P.V., Yang A. Decision analysis with incomplete utility and probability information. Operations Research 1993, 41:864-879.
11. Curley S.P., Yates J.F. The center and range of the probability interval as factors affecting ambiguity preferences. Organizational Behavior and Human Decision Processes 1985, 36:273-287.
12. Danielson M., Ekenberg L. A framework for analysing decisions under risk. European Journal of Operational Research 1998, 104:474-484.
13. Danielson M., Ekenberg L. Computing upper and lower bounds in interval decision trees. European Journal of Operational Research 2007, 181:808-816.
14. Guo P., Tanaka H. Decision making with interval probabilities. European Journal of Operational Research 2010, 203:444-454.
15. Jiménez A., Mateos A., Sabio P. Dominance intensity measure within fuzzy weight oriented MAUT: an application. Omega 2013, 41:397-405.
16. Pang J., Liang J. Evaluation of the results of multi-attribute group decision-making with linguistic information. Omega 2012, 40:294-301.
17. Sevastjanov P., Figat P. Aggregation of aggregating modes in MCDM: synthesis of Type 2 and Level 2 fuzzy sets. Omega 2007, 35:505-523.
18. Xu Z. Deviation measures of linguistic preference relations in group decision making. Omega 2005, 33:249-254.
19. Eum Y.S., Park K.S., Kim S.H. Establishing dominance and potential optimality in multi-criteria analysis with imprecise weights and values. Computers and Operations Research 2001, 28:397-409.
20. Lee K., Park K.S., Eum Y.S., Park K. Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information. European Journal of Operational Research 2001, 134:557-563.
21. Lee K., Park K.S., Kim S.H. Dominance, potential optimality, imprecise information, and hierarchical structure in multi-criteria analysis. Computers and Operations Research 2002, 29:1267-1281.
22. Sarabando P., Dias L.C. Simple procedures of choice in multicriteria problems without precise information about the alternatives' values. Computers and Operations Research 2010, 37:2239-2247.
23. Mármol A.M., Puerto J., Fernandez F.R. The use of partial information on weights in multicriteria decision problems. Journal of Multi-Criteria Decision Analysis 1998, 7:322-329.
24. Carrizosa E., Conde E., Fernandez F.R., Puerto J. Multi-criteria analysis with partial information about the weighting coefficients. European Journal of Operational Research 1995, 81:291-301.
25. Mármol A.M., Puerto J., Fernandez F.R. Sequential incorporation of imprecise information in multiple-criteria decision processes. European Journal of Operational Research 2002, 137:123-133.
26. Arbel A. Approximate articulation of preference and priority derivation. European Journal of Operational Research 1989, 43:317-326.
27. Kress M. Approximate articulation of preference and priority derivation - a comment. European Journal of Operational Research 1991, 52:382-383.
28. Arbel A., Vargas L.G. Preference simulation and preference programming: robust issues in priority derivation. European Journal of Operational Research 1993, 69:200-209.
29. Sarin R.K. Elicitation of subjective probabilities in the context of decision-making. Decision Sciences 1978, 9:37-48.
30. Weichselberger K., Pohlmann S. A methodology for uncertainty in knowledge-based systems. Lecture Note in Artificial Intelligence 1990, Springer-Verlag, Berlin.
31. Entani T., Tanaka H. Interval estimations of global weights in AHP by upper approximation. Fuzzy Sets and Systems 2007, 158:1913-1921.
32. Sugihara K., Ishii H., Tanaka H. Interval priorities in AHP by interval regression analysis. European Journal of Operational Research 2004, 158:745-754.
33. Ahn B.S. A note on the interval estimation of global weights in AHP by upper approximation. Fuzzy Sets and Systems 2014, (under review).
34. Haines L.M. A statistical approach to the analytic hierarchy process with interval judgment. (I) Distributions on feasible region. European Journal of Operational Research 1998, 110:112-125.
35. Maria J., Jimenez M. A probabilistic study of preference structures in the analytic hierarchy process with interval judgments. Mathematical and Computer Modelling 1993, 17:73-81.
36. Wang Y.M., Elhag T.M.S. A goal programming method for obtaining interval weights from an interval comparison matrix. European Journal of Operational Research 2007, 177:458-471.
37. Salo A.A., Hämäläinen R.P. Preference ratios in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information. IEEE Transactions on Systems, Man, and Cybernetics - Part A 2001, 31:533-545.
38. Ahn B.S., Park K.S. Comparing methods for multiattribute decision making with ordinal weights. Computers and Operations Research 2008, 35:1660-1670.
39. Ahn B.S. Programming-based OWA operator weights with quadratic objective function. IEEE Transactions on Fuzzy Systems 2012, 20:986-992.