Abstract
Analysis of < X,R > models is considered as part of a general approach to solving a wide class of optimization problems with fuzzy coefficients. This approach consists in formulating and solving one and the same problem within the framework of interrelated models to maximally cut off dominated alternatives. The subsequent contraction of the decision uncertainty region is based on reduction of the problem to multiobjective decision making in a fuzzy environment with applying techniques based on fuzzy preference relations. The results of the paper are of a universal character and are already being used to solve power engineering problems.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Ekel, P.Y.: Fuzzy Sets and Models of Decision Making. Int. J. Comp. Math. Appl. 44, 863–875 (2002)
Ekel, P.Y.: Methods of Decision Making in Fuzzy Environment and Their Applications. Nonlin. Anal. 47, 979–990 (2001)
Ekel, P., Pedrycz, W., Schinzinger, R.: A General Approach to Solving a Wide Class of Fuzzy Optimization Problems. Fuzzy Sets Syst. 97, 49–66 (1998)
Bellman, R., Zadeh, L.A.: Decision Making in a Fuzzy Environment. Manage. Sci. 17, 141–164 (1970)
Ekel, P.Y., Galperin, E.A.: Box-Triangular Multiobjective Linear Programs for Resource Allocation with Application to Load Management and Energy Market Problems. Math. Comp. Mod. (to appear)
Zorin, V.V., Ekel, P.Y.: Discrete-Optimization Methods for Electrical Supply Systems. Power Eng. 18, 19–30 (1980)
Chen, S.J., Hwang, C.L.: Fuzzy Multiple Attribute Decision Making: Methods and Applications. Springer, Heidelberg (1992)
Horiuchi, K., Tamura, N.: VSOP Fuzzy Numbers and Their Fuzzy Ordering. Fuzzy Sets Syst. 93, 197–210 (1998)
Orlovsky, S.A.: Decision Making with a Fuzzy Preference Relation. Fuzzy Sets Syst. 1, 155–167 (1978)
Fodor, J., Roubens, M.: Fuzzy Preference Modelling and Multicriteria Decision Support. Kluwer, Boston (1994)
Lee-Kwang, H.: A Method for Ranking Fuzzy Numbers and Its Application to Decision-Making. IEEE Trans. Fuzzy Syst. 7, 677–685 (1999)
Orlovsky, S.A.: Problems of Decision Making with Fuzzy Information. Nauka, Moscow (1981) (in Russian)
Ekel, P., Ya., Terra, L.D.B., Junges, M.F.D.: Methods of Multicriteria Decision Making in Fuzzy Environment and Their Applications to Power System Problems. In: Proceedings of the 13th Power Systems Computation Conference, Trondheim, pp. 755–761 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2003 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Ekel, P., Galperin, E., Palhares, R., Campos, C., Silva, M. (2003). Fuzzy Coefficients and Fuzzy Preference Relations in Models of Decision Making. In: Palade, V., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2003. Lecture Notes in Computer Science(), vol 2773. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45224-9_33
Download citation
DOI: https://doi.org/10.1007/978-3-540-45224-9_33
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40803-1
Online ISBN: 978-3-540-45224-9
eBook Packages: Springer Book Archive