Establishing dominance between strategies with interval judgments of state probabilities

In decision-making under uncertainty, a decision-maker is required to specify, possibly with the help of decision analysts, point estimates of the probabilities of uncertain events. In this setting, it is often difficult to obtain very precise measurements of the decision-maker׳s probabilities on the states of nature particularly when little information is available to evaluate probabilities, available information is not specific enough, or we have to model the conflict case where several information sources are available.

[1]  A. M. Mármol,et al.  The use of partial information on weights in multicriteria decision problems , 1998 .

[2]  Shawn P. Curley,et al.  The center and range of the probability interval as factors affecting ambiguity preferences , 1985 .

[3]  Soung Hie Kim,et al.  Dominance, potential optimality, imprecise information, and hierarchical structure in multi-criteria analysis , 2002, Comput. Oper. Res..

[4]  Zeshui Xu Deviation measures of linguistic preference relations in group decision making , 2005 .

[5]  Kurt Weichselberger,et al.  A Methodology for Uncertainty in Knowledge-Based Systems , 1990, Lecture Notes in Computer Science.

[6]  Moshe Kress,et al.  Approximate articulation of preference and priority derivation — a comment , 1991 .

[7]  Raimo P. Hämäläinen,et al.  Preference ratios in multiattribute evaluation (PRIME)-elicitation and decision procedures under incomplete information , 2001, IEEE Trans. Syst. Man Cybern. Part A.

[8]  Pavel V. Sevastjanov,et al.  Aggregation of aggregating modes in MCDM: Synthesis of Type 2 and Level 2 fuzzy sets , 2007 .

[9]  Jiye Liang,et al.  Evaluation of the results of multi-attribute group decision-making with linguistic information , 2012 .

[10]  Byeong Seok Ahn,et al.  Comparing methods for multiattribute decision making with ordinal weights , 2008, Comput. Oper. Res..

[11]  P. Fishburn Analysis of Decisions with Incomplete Knowledge of Probabilities , 1965 .

[12]  Justo Puerto,et al.  Sequential incorporation of imprecise information in multiple criteria decision processes , 2002, Eur. J. Oper. Res..

[13]  G. Franke,et al.  Expected utility with ambiguous probabilities and ‘irrational’ parameters , 1978 .

[14]  A. Mateos,et al.  Dominance intensity measure within fuzzy weight oriented MAUT: An application , 2013 .

[15]  Kwangtae Park,et al.  Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information , 2001, Eur. J. Oper. Res..

[16]  Tomoe Entani,et al.  Interval estimations of global weights in AHP by upper approximation , 2007, Fuzzy Sets Syst..

[17]  Love Ekenberg,et al.  Computing upper and lower bounds in interval decision trees , 2007, Eur. J. Oper. Res..

[18]  Martin Weber Decision Making with Incomplete Information , 1987 .

[19]  Luis C. Dias,et al.  Simple procedures of choice in multicriteria problems without precise information about the alternatives' values , 2010, Comput. Oper. Res..

[20]  Hideo Tanaka,et al.  Interval priorities in AHP by interval regression analysis , 2004, Eur. J. Oper. Res..

[21]  Serafín Moral,et al.  Using probability trees to compute marginals with imprecise probabilities , 2002, Int. J. Approx. Reason..

[22]  F. Choobineh,et al.  Stochastic dominance tests for ranking alternatives under ambiguity , 1996 .

[23]  T. Stewart,et al.  A comparison of simplified value function approaches for treating uncertainty in multi-criteria decision analysis , 2012 .

[24]  Yee Mey Goh,et al.  Approaches to displaying information to assist decisions under uncertainty , 2012 .

[25]  Luis G. Vargas,et al.  Preference simulation and preference programming: robustness issues in priority derivation , 1993 .

[26]  Ying-Ming Wang,et al.  A goal programming method for obtaining interval weights from an interval comparison matrix , 2007, Eur. J. Oper. Res..

[27]  José Rui Figueira,et al.  Discriminating thresholds as a tool to cope with imperfect knowledge in multiple criteria decision aiding: Theoretical results and practical issues , 2014 .

[28]  Theodor J. Stewart,et al.  Integrating multicriteria decision analysis and scenario planning—Review and extension , 2013 .

[29]  Byeong Seok Ahn,et al.  Programming-Based OWA Operator Weights With Quadratic Objective Function , 2012, IEEE Transactions on Fuzzy Systems.

[30]  F. Fernández,et al.  Multi-criteria analysis with partial information about the weighting coefficients , 1995 .

[31]  Ami Arbel,et al.  Approximate articulation of preference and priority derivation , 1989 .

[32]  Love Ekenberg,et al.  A framework for analysing decisions under risk , 1998 .

[33]  Linda M. Haines,et al.  A statistical approach to the analytic hierarchy process with interval judgements. (I). Distributions on feasible regions , 1998, Eur. J. Oper. Res..

[34]  Soung Hie Kim,et al.  Establishing dominance and potential optimality in multi-criteria analysis with imprecise weight and value , 2001, Comput. Oper. Res..

[35]  Luis G. Vargas,et al.  A probabilistic study of preference structures in the analytic hierarchy process with interval judgments , 1993 .

[36]  Peijun Guo,et al.  Decision-making with interval probabilities , 2008, 2008 IEEE International Conference on Systems, Man and Cybernetics.

[37]  Rakesh K. Sarin,et al.  ELICITATION OF SUBJECTIVE PROBABILITIES IN THE CONTEXT OF DECISION-MAKING * , 1978 .

[38]  Herbert Moskowitz,et al.  Decision Analysis with Incomplete Utility and Probability Information , 1993, Oper. Res..