Prioritized aggregation operators

We consider criteria aggregation problems where there exists a prioritization relationship over the criteria. We suggest that prioritization between criteria can be modeled by making the weights associated with a criteria dependent upon the satisfaction of the higher priority criteria. We consider a number of aggregation operators in which there exists a prioritization relationship between the arguments. We first introduce a prioritized scoring operator and a closely related prioritized averaging operator. We next introduce a prioritized “anding” and then a prioritized “oring” operator.

[1]  Ronald R. Yager,et al.  Uncertainty in Knowledge Bases , 1990, Lecture Notes in Computer Science.

[2]  Radko Mesiar,et al.  Quantitative weights and aggregation , 2004, IEEE Transactions on Fuzzy Systems.

[3]  M. O'Hagan,et al.  A Fuzzy Neuron Based Upon Maximum Entropy Ordered Weighted Averaging , 1990, IPMU.

[4]  R. Mesiar,et al.  Aggregation operators: properties, classes and construction methods , 2002 .

[5]  Radko Mesiar,et al.  Triangular Norms , 2000, Trends in Logic.

[6]  L. Valverde,et al.  On Some Logical Connectives for Fuzzy Sets Theory , 1983 .

[7]  Gaspar Mayor,et al.  Aggregation Operators , 2002 .

[8]  Robert Fullér,et al.  On Obtaining Minimal Variability Owa Operator Weights , 2002, Fuzzy Sets Syst..

[9]  M. O’Hagan.  A Fuzzy Neuron Based on Maximum Entropy Ordered Weighted Averaging , 1990, 1990 Conference Record Twenty-Fourth Asilomar Conference on Signals, Systems and Computers, 1990..

[10]  Vicenç Torra,et al.  Learning weights for the quasi-weighted means , 2002, IEEE Trans. Fuzzy Syst..

[11]  V. Torra.  The weighted OWA operator , 1997, International Journal of Intelligent Systems.

[12]  J. Kacprzyk,et al.  The Ordered Weighted Averaging Operators: Theory and Applications , 1997 .

[13]  R. Mesiar,et al.  Weighted means based on triangular conorms , 2001 .

[14]  Ronald R. Yager,et al.  On the cardinality index and attitudinal character of fuzzy measures , 2002, Int. J. Gen. Syst..

[15]  Ronald R. Yager,et al.  Multiple objective decision-making using fuzzy sets , 1977 .

[16]  Ronald R. Yager.  Weighted triangular norms using generating functions , 2004 .

[17]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decisionmaking , 1988, IEEE Trans. Syst. Man Cybern..

[18]  Ronald R. Yager,et al.  On ordered weighted averaging aggregation operators in multicriteria decision-making , 1988 .

[19]  Ronald R. Yager.  A note on weighted queries in information retrieval systems , 1987, J. Am. Soc. Inf. Sci..

[20]  Ronald R. Yager,et al.  Modeling prioritized multicriteria decision making , 2004, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  George J. Klir,et al.  Fuzzy sets, uncertainty and information , 1988 .

[22]  Zeshui Xu,et al.  An overview of methods for determining OWA weights , 2005, Int. J. Intell. Syst..

[23]  Zeshui Xu,et al.  Alternative form of Dempster's rule for binary variables: Research Articles , 2005 .