A fuzzy definition of "optimality" for many-criteria optimization problems

IEEE Transactions on Systems, Man, and Cybernetics Part A:Systems and Humans.

Volumn 34, Issue 3, 2004, Pages 315-326

  Farina, M ^a   Amato, P ^a  

^a STMICROELECTRONICS   (Italy)

Author keywords

Design problems with several criteria; Fuzzy optimality definition; Limitations of Pareto optimality; Multiobjective optimization

Indexed keywords

DECISION MAKING; MATHEMATICAL MODELS; OPTIMIZATION; PARETO PRINCIPLE; PROBLEM SOLVING;

DESIGN PROBLEMS WITH SEVERAL CRITERIA; FUZZY OPTIMALITY DEFINITION; LIMITATIONS OF PARETO OPTIMALITY; PARETO DOMINANCE; PARETO OPTIMAL SOLUTIONS; PARETO OPTIMALITY;

FUZZY SETS;

EID: 2442507741     PISSN: 10834427     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSMCA.2004.824873     Document Type: Article

References (39)

1. K. Miettinen, Nonlinear Multiobjective Optimization. Norwell, MA: Kluwer, 1999.
2. A. C. Coello. Emoo web repository. San Pedro Zacetenco, Mexico. [Online]. Available: http://www.lania.mx/ccoello/EMOO
3. K. Deb, Multi-Objective Optimization Using Evolutionary Algorithms, New York: Wiley, 2001.
4. E. Zitzler and L. Thiele, "Multiobjective evolutionary algorithms: A comparative case study and the strength pareto approach," IEEE Trans. Evol. Comput., vol. 3, pp. 257-271, Nov. 1999.
5. E. Zitzler et al., "Evolutionary multi-criterion optimization," in Proc. 1st Int. Evolutionary Multi-Criterion Optimization, First International Conf., Zurich, Switzerland, 2001.
6. C. M. Fonseca et al., "Evolutionary multi-criterion optimization," in Proc. 2nd Int. Evolutionary Multi-Criterion Optimization Conf., Faro, Portugal, 2003.
7. S. Obayashi and D. Sasaki, "Visualization and data mining of pareto solutions using self-organizing map," in Proc. 2nd Int. Evolutionary Multi-Criterion Optimization Conf., 2003, pp. 796-809.
8. V. Pareto, Course d'Economie Politique, 1st 1896 ed, Geneve: Libraire Drox, 1964.
9. M. Zeleny, "Multiple criteria decision making: Eight concepts of optimality," Hum. Syst. Manage., vol. 17, pp. 97-107, 1998.
10. I. C. Parmee, D. Cvetkoviæ, A. H. Watson, and C. R. Bonham, "Multi-objective satisfaction within an interactive evolutionary design environment," Evol. Comput., vol. 8, no. 2, pp. 197-222, 2000.
11. R. R. Yager, "On ordered weighted averaging aggregation operators in multicriteria decision making," IEEE Trans. Syst. Man, Cybern., vol. 18, pp. 183-190, Jan./Feb. 1988.
12. F. Herrera, E. Herrera-Viedma, and J. L. Verdegay, "On dominance degrees in group decision making with linguistic preferences," in Proc. Current Issues Fuzzy Technologies, Trento, Italy, June 1-3, 1994.
13. S. A. Orlovsky, "Decision making with a fuzzy preference relation," Fuzzy Sets Syst., vol. I, pp. 155-167, 1978.
14. P. Gupta and R. Nagi, "Process-partner selection in agile manufacturing using linguistic decision making," Trans. Design Manufact., May 1995.
15. C. A. C. Coello, "Handling preferences in evolutionary multiobjective optimization: A survey," in 2000 Congress on Evolutionary Computation. Piscataway, NJ: IEEE Press, July 2000, vol. 1, pp. 30-37.
16. D. Cvetkoviæ and I. C. Parmee, "Preferences and their application in evolutionary multiobjective optimization," IEEE Trans. Evol. Comput., vol. 6, pp. 42-57, Feb. 2002.
17. D. Cvetkovic and I. Parmee, "Designer's preferences and multi-objective preliminary design processes," in Proc. Adaptive Computing Design Manufacture, Plymouth, UK, Apr. 26-28, 2000.
18. C. M. Fonseca and P. J. Fleming, "Multiobjective optimization and multiple constraint handling with evolutionary algorithms-Part II: A application example," IEEE Trans. Syst., Man, Cybern. A, vol. 28, pp. 38-47, Jan. 1998.
19. M. Gobbi, G. Mastinu, A. D'Orazio, M. Caudano, and G. Faus-Tini, "On the optimization of a double cone synchronisi-'r for improved manual transmission shiftability," in Proc. ASME Int. Mechanical Engineering Congress Exposition, New Orleans, LA, Nov. 17-22, 2002.
20. M. Gobbi, G. Mastinu, and C. Doniselli, "Optimising a car chassis," Vehic. Syst. Dynam., vol. 32, pp. 149-170, 1999.
21. Y. J. Lai and C. L. Hwang, Fuzzy Mathematical Programming: Theory and Applications, Lecture Notes in Economics and Math-Ematical Systems 394. New York: Springer-Verlag, 1992.
22. J. Kacprzyk and S. A. Orlovski, Eds., Optimization Models Using Fuzzy Sets and Possibility Theory. Dordrecht, The Netherlands: Reidel, 1987.
23. J. M. Cadenas and F. Jimenez, "A genetic algorithm for the multi-objective solid transportation problem: A fuzzy approach," in Proc. Int. Symp. Automotive Technology and Automation, Aachen, Germany, 1994, pp. 327-334.
24. R. Bellmann and L. A. Zadeh, "Decision making in fuzzy environment," Manage. Sci., vol. 17, no. 4, pp. 141-164, 1970.
25. J. Ramik, "Fuzzy multicriteria optimization based on fuzzy relations," in Proc. IEEE Int. Conf. Fuzzy Systems, vol. 1. Piscataway, NJ, May 2002.
26. R. Fuller and C. Carlsson, "Fuzzy multiple criteria decision making: Recent developments," Fuzzy Sets Syst., vol. 78, pp. 139-153, 1996.
27. V. Ravi, P. J. Reddy, and H. J. Zimmermann, "Fuzzy global optimization of complex system reliability," IEEE Trans. Fuzzy Syst., vol. 8, pp. 241-248, June 2000.
28. R. Fuller, C. Carlsson, and S. Giove, "Optimization under fuzzy linguistic rule constraints," in Proc. Eurofuse, Budapest, Hungary, 1999, pp. 184-187.
29. C. Carlsson and R. Fuller, "Multiobjective optimization with linguistic variables," in Proc. 6th Eur. Congress Intelligent Techniques Soft Computing, vol. 2, Aachen, Germany, 1998, pp. 1038-1042.
30. M. Sakawa, Genetic Algorithms and Fuzzy Multiobjective Optimization. Norwell, MA: Kluwer, 2002.
31. ____, Fuzzy Sets and Interactive Multiobjective Optimization. New York: Plenum, 1993.
32. B. J. Reardon, "Fuzzy Logic vs. Niched Pareto Multiobjective Genetic Algorithm Optimization: Part I. Shaffer's F2 Problem," Los Alamos National Lab., Los Alamos, NM, Tech. Rep. LA-UR-97-3675, Sept. 1997.
33. ____, "Fuzzy logic vs. niched pareto multiobjective genetic algorithm optimization: Part II. A simplified born-mayer problem," Los Alamos National Laboratory, Los Alamos, NM, Tech. Rep. LA-UR-97-3676, Sept. 1997.
34. M. Farina and P. Amato, "A fuzzy definition of 'optimality' for many-criteria decision-making and optimization problems," IEEE Trans. Syst. Man, Cybern. B, submitted for publication.
35. T. Hanne, Intelligent Strategies for Meta Multiple Criteria Decision Making. Norwell, MA: Kluwer, 2001.
36. P. P. Chakrabarti, P. Dasgupta, and S. C. DeSarkar, Multiobjective Heuristic Search. Braunschweig, Germany: Vieweg, 1999.
37. E. Ruspini, "A new approach to clustering," Inf. Contr., vol. 15, pp. 22-32, 1969.
38. P. Amato and C. Manara, "Relating the theory of partitions in MV-logic to the design of interpretable fuzzy systems," in Interpretability Issues in Fuzzy Modeling, vol. 128 of Studies in Fuzzines and Soft Computing, J. Casillas, O. Cordon, F. Herrera, and L. Magdalena, Eds. New York: Springer-Verlag, 2003, pp. 499-523.
39. A. V. Lotov. "Visualization-based multi-criteria optimization techniques, groups on visualization-based modern techniques". [Online]. Available: http://www.ccas.ru/mmes/mmeda/