Fuzzy Geometric Programming with Numerical Examples

  • Tapan Kumar Roy
Part of the Springer Optimization and Its Applications book series (SOIA, volume 16)


Geometric programming (GP) has the high potential to be applied to a wide range of problems. This chapter summarizes the fundamentals of fuzzy GP and presents many application examples. Some variants of the gravel box problem are presented to solve it by fuzzy GP.

Key words

Fuzzy GP gravel box problem posynomial signomial 


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  1. Beightler, G.S., and Phillips, D.T., 1976, Applied Geometric Programming, Wiley, New York.zbMATHGoogle Scholar
  2. Bellman, R., and Zadeh, L.A., 1972, Decision-making in a fuzzy environment, Management Sciences, 17: 141-164.MathSciNetGoogle Scholar
  3. Biswal, M.P., 1992, Fuzzy programming technique to solve multi-objective geometric programming problems, Fuzzy Sets and Systems, 51: 67-71.zbMATHCrossRefMathSciNetGoogle Scholar
  4. Cao, B.Y., 2002, Fuzzy Geometric Programming, Kluwer Academic Publishers, The Netherlands.zbMATHGoogle Scholar
  5. Cao, B.Y., 1993, Fuzzy geometric programming (I), Fuzzy Sets and Systems, 53: 135-153.zbMATHCrossRefMathSciNetGoogle Scholar
  6. Cao, B.Y., 1994, Posynomial geometric programming with L-R fuzzy coefficients, Fuzzy Sets and Systems, 64: 267-276.Google Scholar
  7. Duffin, R.J., Peterson, E.L., and Zener, C., 1967, Geometric Programming Theory and Applications, Wiley, New York.Google Scholar
  8. Passy, U., and Wilde, D.J., 1967, Generalized polynomial optimization, SIAM Journal on Applied Mathematics, 15(5): 1344-1356.zbMATHCrossRefMathSciNetGoogle Scholar
  9. Verma, R.K., 1990, Fuzzy geometric programming with several objective functions, Fuzzy Sets and Systems, 35: 115-120.zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Science + Business Media, LLC 2008

Authors and Affiliations

  • Tapan Kumar Roy
    • 1
  1. 1.Department of MathematicsBengal Engineering and Science UniversityShibpur, West BengalIndia

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