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A Concept of Optimality for Fuzzified Mathematical Programming Problems

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Interactive Fuzzy Optimization

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 368))

Abstract

In this paper an optimality concept is introduced for (g,p) — fuzzified mathematical programming problems. It is based on the parametric embedding method of classical nonlinear programming. A numerical method to find the optimum in this sense is also given.

This research was supported by the projects OTKA-606-1986/400-0413 and FKP-400-0113

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References

  • Dinkelbach W. (1967) On nonlinear fractional programming. Manag.Sci., 13, 492–498.

    Article  Google Scholar 

  • Kovács M. (1988) On the g-fuzzy linear systems, BUSEFAL 37, 69–77.

    Google Scholar 

  • Kovács M. (1990) On the solution of fuzzified linear systems. In: V.M. Repin, V.A. Morozov (Eds.) Cooperative works of SRCC of MU and CC of BU. (in Russian), Moscow State Univesity, 12-23.

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  • Kovács M. (1991) Stable embedding of ill-posed linear equality and inequality systems into fuzzified systems. Fuzzy Sets and Systems (to appear)

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  • Vasil’ev F.P. (1978) On the parametrical embedding method (in Russian) Vestnik Moskov. Univ. Ser.15. No.3. 24-32.

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© 1991 Springer-Verlag Berlin Heidelberg

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Kovács, M. (1991). A Concept of Optimality for Fuzzified Mathematical Programming Problems. In: Fedrizzi, M., Kacprzyk, J., Roubens, M. (eds) Interactive Fuzzy Optimization. Lecture Notes in Economics and Mathematical Systems, vol 368. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45700-5_4

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  • DOI: https://doi.org/10.1007/978-3-642-45700-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54577-4

  • Online ISBN: 978-3-642-45700-5

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