Multicriteria analysis based on constructing payoff matrices and applying methods of decision making in fuzzy environment

Optimization and Engineering

Volumn 12, Issue 1-2, 2011, Pages 5-29

  Ekel, Petr ^a   Kokshenev, Illya ^b   Palhares, Reinaldo ^b   Parreiras, Roberta ^a   Schuffner Neto, Fernando ^c  

^a PONTIFICAL CATHOLIC UNIVERSITY OF MINAS GERAIS   (Brazil)

^b FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

^c Energy Company of Minas Gerais   (Brazil)

Author keywords

Bellman Zadeh approach; Fuzzy preference modeling; Information uncertainty; Multicriteria decision making; Particular and aggregated risks; Payoff matrices

Indexed keywords

GAME THEORY; UNCERTAINTY ANALYSIS;

BELLMAN-ZADEH APPROACH; FUZZY PREFERENCE MODELING; INFORMATION UNCERTAINTY; METHODS OF DECISION MAKINGS; MULTI CRITERIA ANALYSIS; MULTI CRITERIA DECISION MAKING; MULTI-CRITERIA APPROACH; MULTICRITERIA PROBLEMS;

DECISION MAKING;

EID: 79952005249     PISSN: 13894420     EISSN: 15732924     Source Type: Journal    
DOI: 10.1007/s11081-010-9108-0     Document Type: Article

References (42)

1. Antunes C, Dias L (2007) Editorial: Managing uncertainty in decision support models. Eur J Oper Res 181: 1425-1426.
2. Beliakov G, Warren J (2001) Appropriate choice of aggregation operators in fuzzy decision support systems. IEEE Trans Fuzzy Syst 9: 773-784.
3. Bellman R, Giertz M (1974) On the analytic formalism of the theory of fuzzy sets. Inf Sci 5: 149-157.
4. Bellman RE, Zadeh L (1970) Decision-making in a fuzzy environment. Manag Sci 17: 141-164.
5. Belyaev L (1977) A practical approach to choosing alternative solutions to complex optimization problems under uncertainty. IIASA, Laxenburg.
6. Bernardes P, Ekel P, Parreiras R (2009) A new consensus scheme for multicriteria group decision making under linguistic assessments. In: Mathematics and mathematical logic: New research. Nova Science, Houppauge (in press).
7. Berredo RC, Ekel PYa, Galperin EA, Sant'anna AS (2005) Fuzzy preference modeling and its management applications. In: Proceedings of the international conference on industrial logistics. Montevideo, pp 41-50.
8. Berredo RC, Canha LN, Ekel PYa, Ferreira LCA, Maciel MVC (2008) Experimental design and models of power system optimization and control. WSEAS Trans Syst Control 8: 40-49.
9. Canha L, Ekel P, Queiroz J, Schuffner Neto F (2007) Models and methods of decision making in fuzzy environment and their applications to power engineering problems. Numer Linear Algebra Appl 14: 369-390.
10. Dubov YuA, Travkin CI, Yakimetc VN (1986) Multicriteria models for forming and choosing system alternatives. Nauka, Moscow.
11. Ehrgott M (2005) Multicriteria optimization. Springer, Berlin.
12. Ekel PYa (1999) Approach to decision making in fuzzy environment. Comput Math Appl 37: 59-71.
13. Ekel PYa (2002) Fuzzy sets and models of decision making. Comput Math Appl 44: 863-875.
14. Ekel PYa, Galperin EA (2003) Box-triangular multiobjective linear programs for resource allocation with application to load management and energy market problems. Math Comput Model 37: 1-17.
15. Ekel PYa, Schuffner Neto FH (2006) Algorithms of discrete optimization and their application to problems with fuzzy coefficients. Inf Sci 176: 2846-2868.
16. Ekel PYa, Terra LDB (2002) Fuzzy preference relations: methods and power engineering applications. Opsearch 39: 34-45.
17. Ekel P, Pedrycz W, Schinzinger R (1998a) A general approach to solving a wide class of fuzzy optimization problems. Fuzzy Sets Syst 97: 49-66.
18. Ekel PYa, Terra LDB, Junges MFD, Moraes MA, Popov VA, Prakhovnik AV, Razumovsky OV (1998b) Multicriteria power and energy shortage allocation using fuzzy set theory. In: Proceedings of the international symposium on bulk power systems dynamics and control IV: restructuring. Santorini, pp 311-318.
19. Ekel PYa, Junges MFD, Morra JLT, Paletta FPG (2002) Fuzzy logic based approach to voltage and reactive power control in power systems. Int J Comput Res 11: 159-170.
20. Ekel PYa, Martins CAPS, Pereira Jr JG, Palhares RM, Canha LN (2006a) Fuzzy set based allocation of resources and its applications. Comput Math Appl 52: 197-210.
21. Ekel PYa, Silva MR, Schuffner Neto F, Palhares RM (2006b) Fuzzy preference modeling and its application to multiobjective decision making. Comput Math Appl 52: 179-196.
22. Ekel PYa, Menezes M, Schuffner Neto FH (2007) Decision making in fuzzy environment and its application to power engineering problems. Nonlinear Anal, Hybrid Syst 1: 527-536.
23. Ekel P, Queiros J, Parreiros R, Palhares R (2009) Fuzzy set based models and methods of multicriteria group decision making. Nonlinear Anal 71: 409-419.
24. Fodor J, Roubens M (1994) Fuzzy preference modelling and multicriteria decision support. Kluwer Academic, Boston.
25. Hodges J Jr, Lehmann E (1952) The use of previous experience in reaching statistical decision. Ann Math Stat 23: 396-407.
26. Kuchta D (2007) Choice of the best alternative in case of a continuous set of states of nature-application of fuzzy numbers. Fuzzy Optim Decis Mak 6: 173-178.
27. Lu J, Zhang G, Ruan D, Wu F (2007) Multi-objective group decision making: methods, software and applications with fuzzy set techniques. Imperial College Press, London.
28. Luce R, Raiffa H (1957) Games and decisions. Wiley, New York.
29. Orlovski SA (1978) Decision making with a fuzzy preference relation. Fuzzy Sets Syst 1: 155-167.
30. Orlovsky SA (1981) Problems of decision making with fuzzy information. Nauka, Moscow (in Russian).
31. Pareto V (1896) Cours d'économie politique. Lausanne Rouge, Lausanne.
32. Pedrycz W, Gomide F (1998) An introduction to fuzzy sets: analysis and design. MIT Press, Cambridge.
33. Raiffa H (1968) Decision analysis. Wesley, Reading.
34. Rao SS (1996) Engineering optimization. Wiley, New York.
35. Raskin LG (1976) Analysis of complex systems and elements of optimal control theory. Sovetskoe Radio, Moscow (in Russian).
36. Sobol' IM (1979) On the systematic search in a hypercube. SIAM J Numer Anal 6: 790-793.
37. Trukhaev RI (1981) Models of decision making in conditions of uncertainty. Nauka, Moscow (in Russian).
38. Wen M, Iwamura K (2008) Fuzzy facility location-allocation problem under the Hurwicz criterion. Eur J Oper Res 184: 627-635.
39. Yager RR (1988) On ordered weighted averaging operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18: 183-190.
40. Yager RR (1996) Fuzzy set methods for uncertainty representation in risky financial decisions. In: Proceedings of the IEEE/IAFE conference on computational intelligence for financial engineering. New York, pp 59-65.
41. Yu PL (1985) Multiple criteria decision making: concepts, techniques, and extensions. Plenum, New York.
42. Zimmermann HJ (1990) Fuzzy set theory and its application. Kluwer, Boston.