A neural network technique in modeling multiple criteria multiple person decision making

Abstract Neural networks which use the back-propagation learning algorithm under monotonic function constraints can be used in modeling multiple criteria multiple person decision making (MCMPDM). This is done by training the neural networks with the judgment data of a set of individual decision makers, thus aggregating and generalizing their decision making knowledge. The generation of monotonic value functions in MDMPDM is demonstrated, and the representation of uncertainty using the fuzzy characteristics of MCMPDM is also illustrated.

[1]  P. Green,et al.  Analyzing multivariate data , 1978 .

[2]  Peter H. Farquhar,et al.  Errata to “A Survey of Multiattribute Utility Theory and Applications” , 1978 .

[3]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[4]  Shouhong Wang,et al.  Fuzzy set representation of neural network classification boundaries , 1991, IEEE Trans. Syst. Man Cybern..

[5]  Ram Narasimhan,et al.  A geometric averaging procedure for constructing supertransitive approximation to binary comparison matrices , 1982 .

[6]  J. Kacprzyk,et al.  Multiperson decision making models using fuzzy sets and possibility theory , 1990 .

[7]  Ram Narasimhan,et al.  An Experimental Evaluation of Articulation of Preferences in Multiple Criterion Decision‐Making (MCDM) Methods , 1988 .

[8]  H. Moskowitz,et al.  Generalized dynamic programming for multicriteria optimization , 1990 .

[9]  Egill Másson,et al.  Introduction to computation and learning in artificial neural networks , 1990 .

[10]  B. Efron,et al.  The Jackknife: The Bootstrap and Other Resampling Plans. , 1983 .

[11]  Richard P. Lippmann,et al.  An introduction to computing with neural nets , 1987 .

[12]  Shouhong Wang,et al.  Neural network techniques in managerial pattern recognition , 1990 .

[13]  G. W. Evans,et al.  An Overview of Techniques for Solving Multiobjective Mathematical Programs , 1984 .

[14]  Didier Dubois,et al.  Fuzzy sets and systems ' . Theory and applications , 2007 .

[15]  E. Hisdal.  Are grades of membership probabilities , 1988 .

[16]  J. Kruskal.  Analysis of Factorial Experiments by Estimating Monotone Transformations of the Data , 1965 .

[17]  S. Kung,et al.  VLSI Array processors , 1985, IEEE ASSP Magazine.

[18]  George P. Huber,et al.  Multi-Attribute Utility Models: A Review of Field and Field-Like Studies , 1974 .

[19]  Jean-Pierre D. Chateau,et al.  The Capital Budgeting Problem Under Conflicting Financial Policies , 1975 .

[20]  B. Roy.  Decision-aid and decision-making , 1990 .

[21]  Paul E. Green,et al.  Recent contributions to optimal product positioning and buyer segmentation , 1989 .

[22]  F. Lootsma,et al.  Pairwise-comparison methods in multiple objective programming, with applications in a long-term energy-planning model , 1985 .

[23]  Bertil Tell,et al.  An Approach to Solving Multi-Person Multiple-Criteria Decision-Making Problems , 1978 .

[24]  R.P. Lippmann,et al.  Pattern classification using neural networks , 1989, IEEE Communications Magazine.

[25]  P. Fishburn.  Multiperson Decision Making: A Selective Review , 1990 .

[26]  R. Kohli,et al.  Heuristics for Product-Line Design Using Conjoint Analysis , 1990 .

[27]  Shouhong Wang,et al.  Application of the Back Propagation Neural Network Algorithm with Monotonicity Constraints for Two‐Group Classification Problems* , 1993 .

[28]  Philippe Vincke,et al.  Analysis of multicriteria decision aid in Europe , 1986 .

[29]  P. Vincke,et al.  Multicriteria analysis: survey and new directions , 1981 .

[30]  R. L. Keeney,et al.  Decisions with Multiple Objectives: Preferences and Value Trade-Offs , 1977, IEEE Transactions on Systems, Man, and Cybernetics.

[31]  Jiří Křovák.  Ranking alternatives--comparison of different methods based on binary comparison matrices , 1987 .

[32]  James L. McClelland,et al.  Parallel distributed processing: explorations in the microstructure of cognition, vol. 1: foundations , 1986 .

[33]  Yoram Wind,et al.  Multiattribute decisions in marketing : a measurement approach , 1973 .

[34]  George Cybenko,et al.  Approximation by superpositions of a sigmoidal function , 1992, Math. Control. Signals Syst..

[35]  Arthur M. Geoffrion,et al.  An Interactive Approach for Multi-Criterion Optimization, with an Application to the Operation of an Academic Department , 1972 .

[36]  J. Brans,et al.  Geometrical representations for MCDA , 1988 .

[37]  C. R. Sergeant,et al.  Multiple Criteria Analysis: Operational Methods , 1982 .