Abstract
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.
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References
J. Kacprzyk, “Decision-Making in a Fuzzy Environment with Fuzzy Termination Time” (in press).
J. Kacprzyk “A Branch-and-Bound Algorithm for the Multistage Control of a Nonfuzzy System in a Fuzzy Environment” (in press).
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© 1978 The World Organisation of General Systems and Cybernetics
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Kacprzyk, J. (1978). Fuzzy Termination Time in Decision-Making in a Fuzzy Environment. In: Rose, J. (eds) Current Topics in Cybernetics and Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-93104-8_231
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DOI: https://doi.org/10.1007/978-3-642-93104-8_231
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-93106-2
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