Abstract
An approach to decision making with an arbitrary antireflexive fuzzy binary relation (FR) is developed, generalizing some well-known ordinary constructions: undomination, intrinsic and external stability, kernels of a graph, etc.
The main concept of the method is a fuzzy dichotomous decision procedure (FDDP). An optimal decision is defined due to the general maximal decision principle. Basically, it gives a “soft” estimate of the applicability of a decision procedure and of its quality. Subprocedures of coordinating the decision maker’s a priori preferences and the results of FDDP application are presented as a basis for examining the decision maker’s qualities (competence, resoluteness), and also for improving the final choice. The conventional multiattribute majority approach to formation of binary relations is axiomatically extended to FR construction. A practical example of application of the method is given.
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© 1987 Springer Science+Business Media Dordrecht
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Kitainik, L.M. (1987). Fuzzy Inclusions and Fuzzy Dichotomous Decision Procedures. In: Kacprzyk, J., Orlovski, S.A. (eds) Optimization Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3869-4_11
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DOI: https://doi.org/10.1007/978-94-009-3869-4_11
Publisher Name: Springer, Dordrecht
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