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Advances in Fuzzy Geometric Programming

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 40))

Abstract

Fuzzy geometric programming emerges as a new branch subject of optimization theory and fuzzy mathematics has received much attention in recent years. Its conceptual framework is presented by B.Y.Cao in IFSA 1987. At present, dozens of researchers from China, India, Cuba, England, Canada, Belgian and China Taiwan and etc. have joined the team of studying. This theory has been applied in power system, environmental engineering, economic management and so on with the range of its application expecting to be further expanded.

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References

  1. Peterson, E.L.: The Origins of Geometric Programming. Annals of Operations Research 105, 15–19 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  2. Yang, J.H., Cao, B.Y.: The origin and its application of geometric programming. In: Proc.of the Eighth National Conference of Operations Research Society of China, pp. 358–363. Global-Link Publishing Company, Hong Kong (2006)

    Google Scholar 

  3. Cao, B.Y.: Solution and theory of question for a kind of fuzzy positive geometric program. In: Proceedings of the 2nd IFSA Conference, vol. 1, Tokyo, Japan, pp. 205–208 (1987)

    Google Scholar 

  4. Cao, B.Y.: Fuzzy Geometric Programming. Kluwer Academic Publishers, Dordrecht (2002)

    MATH  Google Scholar 

  5. Cao, B.Y.: Fuzzy geometric programming (I). Int. J. of Fuzzy Sets and Systems 53(2), 135–154 (1993)

    Article  MATH  Google Scholar 

  6. Cao, B.Y.: Fuzzy geometric programming (II). J. of Fuzzy Mathematics 4(1), 119–129 (1996)

    MATH  Google Scholar 

  7. Verma, R.K.: Fuzzy geometric programming with several objective functions. Fuzzy Sets and Systems 35(1), 115–120 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  8. Burnwal, A.P., Mukherjee, S.N., Singh, D.: Fuzzy geometric programming with nonequivalent objectives. Ranchi University Mathematical J. 27, 53–58 (1996)

    MATH  MathSciNet  Google Scholar 

  9. Cao, B.Y.: Classification of fuzzy posynomial geometric programming and corresponding class properties. Jounal of Fuzzy Systems and Mathematics 9(4), 60–64 (1995)

    Google Scholar 

  10. Cao, B.Y.: Parameterized solution to a fractional geometric programming. In: Proc.of the sixth National Conference of Operations Research Society of China, pp. 362–366. Global-Link Publishing Company, Hong Kong (2000)

    Google Scholar 

  11. Cao, B.Y.: Extension posynomial geometric programming. Jounal of Guangdong University of Techonology 18(1), 61–64 (2001)

    Google Scholar 

  12. Yang, J.H., Cao, B.Y.: Geometric Programming with Fuzzy Relation Equation Constraints. In: Proceedings of the IEEE International Conference on Fuzzy Systems, pp. 557–560. IEEE Computer Society Press, Los Alamitos (2005)

    Google Scholar 

  13. Cao, B.Y.: Fuzzy geometric programming optimum seeking in power supply radius of transformer subsation. In: Proceedings of the Fuzz-IEEE99 Conference, Seoul, Korea, vol. 3, pp. 1749–1753. IEEE, Los Alamitos (1999)

    Google Scholar 

  14. Cao, B.Y.: Fuzzy geometric programming optimum seeking of scheme for waste-water disposal in power plant. In: Proceedings of the Fuzz-IEEE /IFES95 Conference, Yokohama, Japan, vol. 5, pp. 793–798. IEEE, Los Alamitos (1995)

    Google Scholar 

  15. Biswal, M.P.: Fuzzy programming technique to solve multi-objective geometric programming problems. Fuzzy Sets and Systems 51(1), 67–71 (1992)

    Article  MATH  MathSciNet  Google Scholar 

  16. Liu, S.-T.: Fuzzy geometric programming approach to a fuzzy machining economics model. International Journal of Production Research 42(16), 3253–3269 (2004)

    Article  MATH  Google Scholar 

  17. Sahidul, I., Kumar, R.T.: A new fuzzy multi-objective programming: entropy based geometric programming and its application of transportation problems. European Journal of Operational Research 173(2), 387–404 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  18. Mandal, N.K., Roy, T.K., Maiti, M.: Multi-objective fuzzy inventory model with three constraints: a geometric programming approach. Fuzzy Sets and Systems 150(1), 87–106 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  19. Cao, B.Y.: Antinomy in posynomial geometric programming. Advances in Systems Science and Applications, USA 4(1), 7–12 (2004)

    Google Scholar 

  20. Gen, M., Yun, Y.S.: Soft computing approach for reliability optimization: State-of-the-art survey. Reliability Engineering & System Safety 91(9), 1008–1026 (2006)

    Article  Google Scholar 

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Bing-Yuan Cao

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© 2007 Springer-Verlag Berlin Heidelberg

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Cao, By., Yang, Jh. (2007). Advances in Fuzzy Geometric Programming. In: Cao, BY. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71441-5_54

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  • DOI: https://doi.org/10.1007/978-3-540-71441-5_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71440-8

  • Online ISBN: 978-3-540-71441-5

  • eBook Packages: EngineeringEngineering (R0)

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