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Soft Computing

, Volume 7, Issue 4, pp 234–243 | Cite as

A structure of fuzzy systems for support of decision making

  • M. Holčapek
  • M. Turčan
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Abstract

 The aim of this paper is to introduce the notions of operation and mapping between general fuzzy decision systems (GFDS) over some decision space (𝕍, ℂ), where 𝕍 is a set of variants and ℂ is a set of criteria. The operations between two decision systems make possible to combine several decision system of different experts and the mappings between two decision systems enable to study structural properties of such systems. Relations between utility function h:𝕍→[0,1] and operations, and further, mappings between GFDS are investigated, too.

Keywords General fuzzy decision system (GFDS), Knowledge base, Fuzzy operations, Fuzzy mappings, Utility functions 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • M. Holčapek
    • 1
  • M. Turčan
    • 1
  1. 1.Department of Mathematical Methods in Economics, Faculty of Economics, VŠB – Technical University Ostrava, Sokolská 33, 701 21 Ostrava, Czech Republic E-mail: michal.holcapek@vsb.czCZ

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