Publications
DOWNLOADABLE
Estimating
and Validating the Cumulative the Distribution of a Function of Random
Variables: Toward the Development of a Distribution Arithmetic - POSTSCRIPT
Estimating
and Validating the Cumulative the Distribution of a Function of Random
Variables: Toward the Development of a Distribution Arithmetic - PDF
Constrained
Interval Arithmetic - POSTSCRIPT
Optimization
Under Uncertainty: Methods and Applications in Radiation Therapy - POSTSCRIPT
REFEREED
2005
Lodwick, Weldon A., and Bachman, Katherine A., “Solving Large-Scale Fuzzy and Possibilistic Optimization Problems.” Fuzzy Optimization and Decision Making, Volume 4 No. 4, October 2005, pp. 257-278.
2004
Fonte, Cidalia and Lodwick, Weldon A., “Areas of Fuzzy Geographical Entities.” International Journal of Geographical Information Systems, Volume 18 No. 2, March 2004, pp. 127-150.
2003
Fonte, Cidalia and Lodwick, W., “Modeling the fuzzy spatial extent of geographical entities” in Cobb, M., Petry, F., and Robinson, V. (editors), Fuzzy Modeling with Spatial Information for Geographical Problems, Springer-Verlag, (late 2003).
Lodwick, W.A. and Jamison, K.D., "Estimating and Validating the Cumulative Distribution of a Function of Random Variables: Toward the Development of Distribution Arithmetic," Reliable Computing, Vol. 9, No. 2, April 2003, pp. 127-141.
Moore, R.E., and Lodwick, W.A., “Interval Analysis and Fuzzy Set Theory,” Fuzzy Sets and Systems, Vol. 135, No. 1, April 2003, pp. 5-9.
Lodwick, W.A. and Santos, J., “Constructing Consistent Fuzzy Surfaces from Fuzzy Data,” Fuzzy Sets and Systems, Vol. 135, No. 2, April 2003, pp. 259-277.
2002
Jamison, K.D., and Lodwick, W.A., “The Construction of Consistent Possibility and Necessity Measures,” Fuzzy Sets and Systems Vol. 132:1, November 2002, pp. 1-10.
Santos, J., Lodwick, W.A. and Neumaier, A., “A New Approach to Incorporate Uncertainty in Terrain Modeling,” in Lecture Notes in Computer Science Vol. 2478 by M. Egenhofer and D. Mark (editors), Springer-Verlag, 2002.
Russell, S., and Lodwick, W.A., “Fuzzy Game Theory and Internet Commerce: e-Strategy and Metarationality,” NAFIPS’2002 – Proceedings, June, 2002.
2001
Lodwick, W.A., Neumaier, A. and Newman, F. D., “Optimization Under Uncertainty: Methods and Applications in Radiation Therapy,” Proceedings 10th IEEE International Conference on Fuzzy Systems 2001, Volume 3, pp. 1219-1222.
Lodwick, W.A., Jamison, K. D. and Newman, F. D., “Extension of Interval Validation Methods to Fuzzy Set Theory,” NAFIPS’2001 – Proceedings, edited by Larry Hall, July, 2001, pp. 1665-1670.
Jamison, K. D., Lodwick, W.A. and Newman, F. D., “Optimization Under Uncertainty Using Possibility and Necessity Distributions Consistent with Probability Distributions,” NAFIPS’2001-Proceedings, edited by Larry Hall, July, 2001, pp. 1671-1676.
Jamison, K.D. and Lodwick, W.A., "Fuzzy Linear Programming Using Penalty Method," Fuzzy Sets and Systems, Vol. 119, 2001, pp. 97-110.
2000
Lodwick, W.A. and.Jamison, K.D. and Russell, D., “A Comparison of Fuzzy, Stochastic and Deterministic Methods in Linear Programming,” 19th International Conference of the North American Fuzzy Information Processing Society, edited by Thomas Whalen, July 2000, pp. 321-325.
1999
Lodwick, W.A. and Russell, D., “The Use of Fuzzy Optimization Methods for Radiation Therapy of Tumors,” 18th International Conference of the North American Fuzzy Information Processing Society, edited by Rajesh N. Dave and Thomas Sudkamp, June 1999, pp.288-293.
Russell, D. and Lodwick, W.A., "Fuzzy Clustering in Data Mining for Telco Database Marketing Campaigns," 18th International Conference of the North American Fuzzy Information Processing Society, edited by Rajesh N. Dave and Thomas Sudkamp, June 1999, pp. 720-726.
Jamison, K.D. and Lodwick, W.A., "Minimizing Unconstrained Fuzzy Functions," Fuzzy Sets and Systems, Vol. 103,No. 3, May 1999, pp. 457-467.
1998
Lodwick, W.A. and Jamison, K.D. " Fuzzy Optimization: Computational Methods and Applications to Radiation Therapy of Tumors," EUFIT ’98 Vol. 3, Verlag Mainz, 1998, pp. 1888-1898.
Lodwick, W.A., S. McCourt, D. Newman, and S. Humphries, “Optimization Methods for Radiation Therapy Plans,” in Borgers, Christof and Natterer, Frank (editors) IMA Series in Applied Mathematics - Computational Radiology and Imaging: Therapy and Diagnosis, Springer-Verlag, 1998.
1997
Lodwick W.A. and Jamison, K.D., “A Computational Method for Fuzzy Optimization,” in Ayyub, Bilal and Gupta, Madan (editors), Uncertainty Analysis in Engineering and Sciences: Fuzzy Logic, Statistics, and Neural Network Approach, Kluwer Academic Publishers, 1997.
Lodwick, W.A., and Jamison, K.D., "Interval Methods and Fuzzy Optimization," International Journal of Uncertainty, Fuzziness and Knowledge-Based Reasoning, Vol. 5, No. 3, June, 1997, pp. 239-250.
1996
Corliss, G. and Lodwick, W.A., "Correct Computation of Solutions of Differential Algebraic Control Equations," Zeitsschrift fuer Angewandte Mathematik und Machanik (ZAMM) Special Volume: Numerical, Scientific Computing, Computer Science, 1996, Akademie Verlag, Berlin.
1992
Lodwick, W.A. and Levine, R., Chapter 3: "Sensitivity of Parameter and Loop Structures," pp. 43-86, Chapter 4: "Psychological Scaling and Filtering of Errors in Empirical Systems," pp. 87-118, Chapter 5: "Parameter Estimation and Assessing the Fit of Dynamic Models," pp. 119-150, in Analysis of Dynamic Psychological Systems: Methods and Applications, Volume 2, edited by, Ralph Levine and Hiram Fitzgerald, Plenum Press, 1992.
Lodwick, W.A. "Preprocessing Nonlinear Functional Constraints with Application to the Pooling Problem," ORSA Journal on Computing, Vol. 4 No. 2, May, 1992, pp. 119-131.
1990
Lodwick, W.A., "A Generalized Convex Stochastic Dominance Algorithm," IMA Journal of Mathematics in Business and Industry, Vol. 2, No.3, Nov. 1990, pp. 225-246.
Lodwick, W., A. "Analysis of Structure in Fuzzy Linear Programs," Fuzzy Sets and Systems, Vol. 38, No. 1, October 1990, pp. 15-26.
Lodwick, W.A., W. Munson, and L. Svoboda, "Attribute Error and Sensitivity Analysis of Map Operations in Geographic Information Systems: Suitability Analysis" The International Journal of Geographic Information Systems, Vol. 4, No. 4, October 1990, pp. 413-428.
1989
Lodwick, W.A., "Constraint Propagation, Relational Arithmetic in AI Systems and Mathematical Programs," Annals of OR, Special Issue: Linkages with Artificial Intelligence, Vol. 21 (1989), pp. 143-148.
Lodwick, W.A., "Developing Confidence Limits on Errors of Suitability Analyses in Geographic Information Systems," in Goodchild, M. and Suchi, G. (eds), Accuracy of Spatial Databases, Taylor and D., London, United Kingdom, 1989, pp. 69-78.
1988
Lodwick, W.A., "The Use of Interval Analysis to Uncover Structures of Linear Systems," in Moore, R.E. (ed), Proceedings of the International Workshop on Reliability and Computing, Academic Press, 1988, pp. 341-353.
Lodwick, W.A., "Fuzzy Set Theoretic Approaches to Natural Language in Decision Support Systems," in Mitra, G. (ed), Proceedings of the NATO ASI Conference on Mathematical Models for Decision Support, Springer Verlag, 1988, pp. 575-584.
1984
Robison, L., Cochran, M. and Lodwick, W.A., "Improving the Efficiency of Stochastic Dominance Techniques using Convex Set Stochastic Dominance," American Journal of Agricultural Economics Vol. 67, No. 2, 1984, pp. 289-295.
UNREFEREED (selected)
Jamison, K. D. and Lodwick, W.A., “Interval-Valued Probability Measures,” UCD/CCM Report No. 213, July, 2004 (submitted for publication)
Lodwick, W.A. and Bachman, K.A. , “Solving Large-Scale Fuzzy and Possibiliistic Optimization Problems: Theory, Algorithms and Applications,” UCD/CCM Report No. 212, June, 2004 (submitted for publication)
Jamison, K. D., Lodwick, W.A., and Olsen, G.., “A Method for Finding an Optimal Investment Strategy for an Individual Retiree,” UCD/CCM Report No. 204, October, 2003 (submitted for publication)
Jamison, K. D., Lodwick, W.A., and Kawai, M., “A Simple Closed Form estimate of the Cumulative Distribution Function a Monotone Function of a Random Variable,” UCD/CCM Report No. 187, May, 2002.
Fonte, C., and Lodwick, W.A., “Modeling and Processing the Positional Uncertainty of Geographical Entities with Fuzzy Sets,” UCD/CCM Report No. 176, August, 2001.
Corliss, G. and Lodwick, W.A., "The Role of Constraints in the Validated Solution of DAEs," Marquette University Technical Report No. 430 - March, 1996.
Lodwick, W.A. “Constrained Interval Arithmetic,” UCD/CCM Report No. 138, February, 1999.
Lodwick, W.A. “Computing Minimal Admissible Sets in Decision Making Under Risk Using Convex Stochastic Dominance – Parts 1/2,” UCD/RP 86-0101 and 86-0102, January 1986.
Lodwick, W.A. “A New Stochastic Dominance Criterion,” UCD/RP 85-1201, December 1985.
Lodwick, W.A. “Interval Analysis and Optimal Control: Automatic Computation of Errors for Constrained and Unconstrained Problems,” UCD/RP 85-1002, October, 1985.
Lodwick, W.A., “Two Interval Analytic Methods for Solving Unconstrained Optimal Control Problems Using Integral Equations with Automatically Computed Error Bounds,” UCD/RP 85-1001, October 1985.
|
|