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Efficient Methods for Computing Optimality Degrees of Elements in Fuzzy Weighted Matroids

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Fuzzy Logic and Applications (WILF 2005)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3849))

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Abstract

In this paper some effective methods for calculating the exact degrees of possible and necessary optimality of an element in matroids with ill-known weights modeled by fuzzy intervals are presented.

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References

  1. Dubois, D., Prade, H.: Possibility theory: an approach to computerized processing of uncertainty. Plenum Press, New York (1988)

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  2. Dubois, D., Fargier, H., Fortin, J.: A generalized vertex method for computing with fuzzy intervals. Fuzz IEEE, 541–546 (2004)

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  3. Kasperski, A., Zieliński, P.: On combinatorial optimization problems on matroids with ill-known weights. Instytut Matematyki PWr., Wroclaw, raport serii PREPRINTY nr 34, submitted for publication in Eur. J. Oper. Res (2005)

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  4. Oxley, J.G.: Matroid Theory. Oxford University Press, New York (1992)

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Author information

Authors and Affiliations

  1. IRIT/UPS 118 route de Narbonne, 31062 cedex 4, Toulouse, France

    Jérôme Fortin

  2. Institute of Industrial Engineering and Management, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Adam Kasperski

  3. Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370, Wrocław, Poland

    Paweł Zieliński

Authors
  1. Jérôme Fortin
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  2. Adam Kasperski
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  3. Paweł Zieliński
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Editor information

Editors and Affiliations

  1. Dept. TSI, CNRS UMR 5141 LTCI, ENST (Télécom ParisTech), Paris, France

    Isabelle Bloch

  2. Centro Direzionale, DSA, University of Naples, Parthenope, Isola C/4, 80143, Naples, Italy

    Alfredo Petrosino

  3. Dipartimento di Tecnologie dell’Informazione, Università di Milano Crema,  

    Andrea G. B. Tettamanzi

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© 2006 Springer-Verlag Berlin Heidelberg

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Fortin, J., Kasperski, A., Zieliński, P. (2006). Efficient Methods for Computing Optimality Degrees of Elements in Fuzzy Weighted Matroids. In: Bloch, I., Petrosino, A., Tettamanzi, A.G.B. (eds) Fuzzy Logic and Applications. WILF 2005. Lecture Notes in Computer Science(), vol 3849. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11676935_12

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  • DOI: https://doi.org/10.1007/11676935_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-32529-1

  • Online ISBN: 978-3-540-32530-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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