A general approach to solving a wide class of fuzzy optimization problems

Fuzzy Sets and Systems

Volumn 97, Issue 1, 1998, Pages 49-66

  Ekel, Peter ^a   Pedrycz, Witold ^b   Schinzinger, Roland ^c  

^a PONTIFICAL CATHOLIC UNIVERSITY OF MINAS GERAIS   (Brazil)

^b UNIVERSITY OF MANITOBA   (Canada)

^c UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Discrete optimization; Fuzzy coefficients; Multicriteria decision making; Nonfuzzy analog

Indexed keywords

EID: 0002199377     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-0114(96)00334-X     Document Type: Article

References (12)

1. S.M. Baas and H. Kwakernaak, Rating and ranking of multi-aspect alternatives using fuzzy sets, Automation 13 (1977) 47-58.
2. J.F. Baldwin and N.C.F. Guild, Comparison of fuzzy sets on the same decision space, Fuzzy Sets and Systems 2 (1979) 213-231.
3. E.A. Berzin, Optimal Resource Allocation and Elements of System Synthesis (Sovetskoe Radio, Moscow, 1974) (in Russian).
4. A.N. Borisov, A.V. Alekseev, G.V. Merkuryeva, N.N. Slyadz and V.I. Glushkov, Processing of Fuzzy Information in Systems of Decision Making (Radio i Svyaz, Moscow, 1989) (in Russian).
5. D. Dubois and H. Prade, Fuzzy real algebra: some results, Fuzzy Sets and Systems 2 (1979) 327-348.
6. D. Dubois and H. Prade, Ranking fuzzy numbers in the setting of possibility theory, Inform. Sci. 30 (1983) 183-224.
7. D. Dubois and H. Prade, Inverse operations for fuzzy numbers, in: E. Sanchez and M.M. Gupta, Eds., Proc. IFAC Symp. on Fuzzy Information, Knowledge Representation and Design Analysis (Pergamon Press, Oxford, 1984) 18-38.
8. P.Ya. Ekel, Indeterminacy of initial information and discreteness in energy-network optimization problems, Power Eng. (Izv. AN SSSR. Energetika i Transport) 24 (1986) 47-53 (printed in the USA).
9. P. Ekel, Taking into account the uncertainty factor in problems of modelling and optimizing complex systems, Adv. Modelling Anal. C-43 (1994) 11-22.
10. P. Ekel and V. Popov, Fuzzy set theory and problems of the design and control of power systems and subsystems, in: Proc. 4th IEEE Conf. on Control Applications (IEEE Press, New York, Albany, 1995) 46-51.
11. P. Ekel, V. Popov and V. Tkachenko, Discrete optimization methods in problems of decision making in a fuzzy environment, Proc. 5th IFSA World Congress, KFSM, Seoul (1993) 733-736.
12. P. Ekel, V. Popov and V. Zorin, Taking into account uncertainty factor in models of discrete optimization of electric power supply systems, in: H.-J. Sebastian and K. Jammer, Eds., System Modelling and Optimization, Lecture Notes in Control and Information Sciences, Vol. 143 (Springer, Berlin, Heidelberg, New York, 1990) 741-747.