Fuzzy Termination Time in Decision-Making in a Fuzzy Environment

  • J. Kacprzyk


We consider the control of a deterministic system in a fuzzy environment when the termination time is a fuzzy set T in the space of control stages T. Such a case may be adequate for some socioeconomic systems. The approach proposed is based on the idea that the grade of membership of particular t in T is regarded as a preference of that termination time (μT(t) = 1—the best one, =0—impossible) and modifies the fuzzy goal μT(r).G. Hence, one must find the best termination time t* and the maximizing decision u p ,..., ut- 1.

For solving the problem a branch-and-bound algorithm is applied.


  1. 1.
    J. Kacprzyk, “Decision-Making in a Fuzzy Environment with Fuzzy Termination Time” (in press).Google Scholar
  2. 2.
    J. Kacprzyk “A Branch-and-Bound Algorithm for the Multistage Control of a Nonfuzzy System in a Fuzzy Environment” (in press).Google Scholar

Copyright information

© The World Organisation of General Systems and Cybernetics 1978

Authors and Affiliations

  • J. Kacprzyk
    • 1
  1. 1.Systems Research InstitutePolish Academy of SciencesWarszawaPoland

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