Abstract
In this paper we deal with interdependent multiple criteria, i.e. we will explore the possibilities to find optimal solutions to problems in which the criteria for optimality are (i) conflicting, (ii) mutually supportive or (iii) unilaterally supportive, and in which subsets of criteria form combinations of (i)-(iii). We propose an algorithm for rank-ordering fuzzy nondominated alternatives, and demonstrate how it could be implemented in a DSS; the paper is an extension of some previously published results (cf [1], [2], [3], [4]).
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Carlsson, C. and Korhonen, P. (1986), A Parametric Approach to Fuzzy Linear Programming, Fuzzy Sets and Systems, 20, 17–33
Carlsson, C. (1988), Approximate Reasoning through Fuzzy MCDM-Methods, Operational Research’87, North-Holland, 817–828
Carlsson, C. (1990), On Interdependent Fuzzy Multiple Criteria, in Trappl (ed.): Cybernetics and Systems’90, World Scientific, 139–146
Carlsson, C. (1991), On Optimization with Interdependent Multiple Criteria, in Lowen and Roubens (eds.): Proceedings of IFSA’91, Brussels 1991, 19–22
Kacprzyk, J. and Yager, R.R. (1990), Using Fuzzy Logic with Linguistic Quantifiers in Multiobjective Decision Making and Optimization: A Step Towards More Human-Consistent Models, in Slowinski and Teghem (eds.): Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, Kluwer, 331–350
Roy, B. (1990), Decision-Aid and Decision-Making, in Bana e Costa (ed.): Readings in Multiple Criteria Decision Aid, Springer Verlag, 17–35
Sakawa, M. and Yano, H. (1989), Interactive Decision Making for Multiobjective Nonlinear Programming Problems, Fuzzy Sets and Systems, 315–326
Sakawa, M. and Yano, H. (1990), Feasibility and Pareto Optimality for Multiobjective Linear Programming Problems with Fuzzy Decision Variables and Fuzzy Parameters, in Trappl (ed.): Cybernetics and Systems’90, World Scientific, 155–162
Sakawa, M. and Yano, H. (1991), Interactive Decision Making for Multiobjective Linear Fractional Programming Problems with Fuzzy Parameters Based on Solution Concepts Incorporating Fuzzy Goals, Japanese Journal of Fuzzy Theory and Systems, 3, 45–62
Yager, R.R. (1987), On Ordered Weighted Averaging Aggregation Operators in Multi-Criteria Decision Making, Tech. Report #MII-705, Iona College
Takeda, E. and Nishida, T. (1980), Multiple Criteria Decision Problems with Fuzzy Domination Structures, Fuzzy Sets and Systems, 3, 123–136
Zeleny, M. (1982), Multiple Criteria Decision Making, McGraw-Hill
Zimmermann, H-J (1990), Decision Making in Ill-Structured Environments and with Multiple Criteria, in Bana e Costa (ed.): Readings in Multiple Criteria Decision Aid, Springer Verlag, 119–151
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Carlsson, C. (1993). On Optimization with Interdependent Multiple Criteria. In: Lowen, R., Roubens, M. (eds) Fuzzy Logic. Theory and Decision Library, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2014-2_27
Download citation
DOI: https://doi.org/10.1007/978-94-011-2014-2_27
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4890-3
Online ISBN: 978-94-011-2014-2
eBook Packages: Springer Book Archive