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Supply Chain Management Under Fuzziness pp 449–468Cite as

A Multiple Means Transportation Model with Type-2 Fuzzy Uncertainty

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 313))

Abstract

Uncertainty in transportation problems is commonly handled by probabilistic tools. When statistical information is not available, the role of the experts takes an important role in decision making, so the use of fuzzy sets allows us to apply their knowledge to optimization models. To do so, we propose an optimization strategy using Interval Type-2 fuzzy sets, which is applied to a transportation model.

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Notes

  1. 1.

    A Type-reduction method finds a fuzzy set embedded into the FOU of a Type-2 fuzzy set.

References

  • Basirzadeh, H.: An approach for solving fuzzy transportation problem. Appl. Math. Sci. 5(32), 1549–1566 (2011)

    MATH  MathSciNet  Google Scholar 

  • Buckley, J.J., Jowers, L.J.: Fuzzy transportation problem. In: Kacprzyk, J., Fedrizzi, M. (eds.) Monte Carlo Methods in Fuzzy Optimization. Springer, Heidelberg (1992)

    Google Scholar 

  • Chanas, S., Kolodziejczyk, W., Machaj, A.: A fuzzy approach to the transportation problem. Fuzzy Sets Syst. 13, 211–221 (1984)

    Article  MATH  MathSciNet  Google Scholar 

  • Chanas, S., Kuchta, D.: A concept of the optimal solution of the transportation problem with fuzzy cost coeficients. Fuzzy Sets Syst. 82, 299–305 (1996)

    Article  MathSciNet  Google Scholar 

  • Figueroa, J.C.: Linear programming with interval Type-2 fuzzy right hand side parameters. In: 2008 NAFIPS Annual Conference, pp. 1–6. IEEE (2008)

    Google Scholar 

  • Figueroa, J.C., Hernández, G: A note on “Solving Fuzzy Linear Programming Problems with Interval Type-2 RHS”. In: 2013 NAFIPS Annual Conference, pp. 1–6. IEEE (2013)

    Google Scholar 

  • Figueroa, J.C., Hernández, G.: Computing optimal solutions of a linear programming problem with interval Type-2 fuzzy constraints. Lect. Notes Comput. Sci. 7208, 567–576 (2012)

    Article  Google Scholar 

  • Figueroa-García, J.C., Hernández, G.: A transportation model with interval Type-2 fuzzy demands and supplies. Lect. Notes Comput. Sci. 7389(1), 610–617 (2012)

    Article  Google Scholar 

  • Figueroa, J.C., Kalenatic, D., López, C.A.: Multi-period mixed production planning with uncertain demands: fuzzy and interval fuzzy sets approach. Fuzzy Sets Syst. 206, 21–38 (2012)

    Article  MATH  Google Scholar 

  • Gani, A.N., Razak, K.A.: Two stage fuzzy transportation problem. Eur. J. Oper. Res. 153, 661–674 (2004)

    Article  Google Scholar 

  • Gani, A.N., Samuel, A.E., Anuradha, D.: Simplex type algorithm for solving fuzzy transportation problem. Tamsui J. Inf. Math. Sci. 27(1), 89–98 (2011)

    Google Scholar 

  • Kall, P., Mayer, J.: Stochastic linear programming: models, theory, and computation. Springer, Heidelberg (2010)

    Google Scholar 

  • Karnik, N.N., Mendel, J.M.: Type-2 fuzzy logic systems. IEEE Trans. Fuzzy Syst. 7(6), 643–658 (1999)

    Article  Google Scholar 

  • Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 122, 327–348 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  • Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic: Theory and Applications. Prentice Hall, Columbus (1995)

    MATH  Google Scholar 

  • Liang, Q., Mendel, J.M.: Interval type-2 fuzzy logic systems: theory and design. IEEE Trans. Fuzzy Syst. 8(5), 535–550 (2000)

    Article  Google Scholar 

  • Liu, S.T., Kao, C.: Solving fuzzy transportation problems based on extension principle. J. Phys. Sci. 10, 63–69 (2006)

    MATH  Google Scholar 

  • Melgarejo, M.: Implementing interval type-2 fuzzy processors. IEEE Comput. Intel Mag. 2(1), 63–71 (2007)

    Article  Google Scholar 

  • Melgarejo, M.A.: A fast recursive method to compute the Generalized centroid of an interval type-2 fuzzy set. In: Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS), pp. 190–194. IEEE (2007)

    Google Scholar 

  • Mendel, J.: Uncertain Rule-Based Fuzzy Logic Systems: Introduction and New Directions. Prentice Hall, Columbus (2001)

    Google Scholar 

  • Mendel, J.: Fuzzy sets for words: a new beginning. In: The IEEE International Conference on Fuzzy Systems, pp. 37–42 (2003a)

    Google Scholar 

  • Mendel, J.M.: Type-2 fuzzy sets: some questions and answers. ieee connections. A Publ IEEE Neural Netw Soc 8, 10–13 (2003b)

    Google Scholar 

  • Mendel, J.M., John, R.I.: Type-2 fuzzy sets made simple. IEEE Trans. Fuzzy Syst. 10(2), 117–127 (2002)

    Article  Google Scholar 

  • Mendel, J.M., John, R.I., Liu, F.: Interval Type-2 fuzzy logic systems made simple. IEEE Trans. Fuzzy Syst. 14(6), 808–821 (2006)

    Article  Google Scholar 

  • Mendel, J.M., Liu, F.: Super-exponential convergence of the Karnik-Mendel algorithms for computing the centroid of an interval type-2 fuzzy set. IEEE Trans. Fuzzy Syst. 15(2), 309–320 (2007)

    Article  Google Scholar 

  • Mora, H.M.: Optimización no lineal y dinámica. Universidad Nacional de Colombia, Colombia (2001)

    Google Scholar 

  • Pandian, P., Natarajan, G.: A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl. Math. Sci. 4, 79–90 (2010)

    MATH  MathSciNet  Google Scholar 

  • Tada, M.: An integer fuzzy transportation problem. Comput. Math. Appl. 31(9), 71–87 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  • Zimmermann, H.J.: Fuzzy programming and linear programming with several objective functions. Fuzzy Sets Syst. 1(1), 45–55 (1978)

    Article  MATH  Google Scholar 

  • Zimmermann, H.J., Fullèr, R.: Fuzzy reasoning for solving fuzzy mathematical programming problems. Fuzzy Sets Syst. 60(1), 121–133 (1993)

    MATH  Google Scholar 

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Authors and Affiliations

  1. Universidad Nacional de Colombia—Bogotá campus, Bogotá, Colombia

    Juan Carlos Figueroa-García & Germán Hernández

Authors
  1. Juan Carlos Figueroa-García
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  2. Germán Hernández
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Corresponding author

Correspondence to Juan Carlos Figueroa-García .

Editor information

Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, İstanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Technical University, İstanbul, Turkey

    Başar Öztayşi

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Figueroa-García, J.C., Hernández, G. (2014). A Multiple Means Transportation Model with Type-2 Fuzzy Uncertainty. In: Kahraman, C., Öztayşi, B. (eds) Supply Chain Management Under Fuzziness. Studies in Fuzziness and Soft Computing, vol 313. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-53939-8_19

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  • DOI: https://doi.org/10.1007/978-3-642-53939-8_19

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  • Print ISBN: 978-3-642-53938-1

  • Online ISBN: 978-3-642-53939-8

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