Fuzzy optimization of primal-dual pair using piecewise linear membership functions

Authors

  • D. Pandey Department of Mathematics, C.C.S. University, Meerut, India
  • S. Kumar Department of Mathematics, C.C.S. University, Meerut, India

DOI:

https://doi.org/10.2298/YJOR090519008P

Keywords:

Linear primal-dual problems, Fuzzy environment, tolerance, Non-linear membership function

Abstract

Present paper improves the model of Bector and Chandra [Fuzzy Sets and Systems, 125 (2002) 317-325] on duality in fuzzy linear programming by using non-linear membership functions. Numerical problem discussed by these authors has also been worked out through our non-linear model to demonstrate improved optimality of the results.

References

Bector C.R., and Chandra S., “On duality in linear programming under fuzzy environment”, Fuzzy Sets and Systems, 125 (2002) 317-325.

Hadley G., Linear Programming, Addison-Wesley, 1971.

Rodder W., and Zimmermann H.J., “Duality in fuzzy linear programming”, in: A.V.Fiacco, K.O. Kortanek (eds.), External Methods and System Analysis, Berlin, New York, 1980, 415-429.

Yang T., Ignizio J.P., and Kim H.J., “Fuzzy programming with nonlinear membership functions: Piecewise linear approximation”, Fuzzy Sets and Systems, 41 (1991) 39-53.

Zimmermann H.J., “Fuzzy programming and linear programming with several objective functions”, Fuzzy Sets and Systems, 1 (1978) 45-55.

Zimmermann H.J., Fuzzy Set Theory and Its Applications, Kluwer Academic Publications, Boston/Dordrecht/London, 1991.

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Published

2012-03-01

Issue

Vol. 22 No. 1 (2012)

Section

Research Articles

License

Copyright (c) 2012 YUJOR

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