Abstract
Fuzzy reverse posynomial geometric programming, on the basis of previous work, is studied in the properties and algorithms with two algorithms advanced in this paper: a direct algorithm and a dual algorithm. Meanwhile, its optimal solution is proposed, and an improved imagination is proposed to the direct algorithm.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Cao, B.Y.: Solution and theory of questions for a kind of fuzzy positive geometric program. In: Proc. of 2nd IFSA Congress, Tokyo, vol. 1, pp. 205–208 (1987)
Cao, B.Y.: Study of fuzzy positive geometric programming dual form. In: Proc. of 3rd IFSA Congress, Seattle, pp. 775–778 (1989)
Cao, B.Y.: Fuzzy geometric programming (I). Fuzzy Sets and Systems 53, 135–154 (1993)
Asai, K.: An introduction to the theory of fuzzy systems. Peking Norm. University Press, Peking (1982)
Cao, B.Y.: Extended fuzzy geometric programming. J. of Mathematics(USA) 2, 285–293 (1993)
Cao, B.Y.: Fuzzy strong dual results for fuzzy posynomial geometric programming. In: Proc. of 3rd IFSA Congress, Seoul, vol. 1, pp. 588–591 (1995)
Cao, B.Y.: Posynomial geometric programming with L-R fuzzy coefficients. Fuzzy Sets and Systerns 67, 267–276 (1994)
Cao, B.Y.: Further study of posynomial geometric programming with fuzzy coefficients. Mathematics Applicata 5(4), 119–120 (1992)
Cao, B.Y.: The study of geometric programming with (·, c)-fuzzy parameters. J. of Changsha, Univ. of Electric Power (Natural Sci. Ed.) 1, 15–21 (1995)
Cao, B.Y.: Study for a kind of regression forecasting model with fuzzy da-tums. J. of Mathematical Statistics and Applied Probability 4(2), 182–189 (1989)
Cao, B.Y.: Fuzzy geometric programming. Kluwer Academic Publishers (2002)
Cao, B.Y.: Study on non-distinct self-regression forecast model. Chinese Sci. Bull. 35(13), 1057–1062 (1990); (also to see Kexue Tong-bao, 34(17), 1291–1294 (1989))
Cao, B.Y.: New model with T-fuzzy variations in linear programming. Fuzzy Sets and Systems 78, 289–292 (1996)
Cao, B.Y.: Research for a geometric programming model with T-fuzzy variable. J. of Fuzzy Mathematics 5(3), 625–632 (1997)
Verma, R.K.: Fuzzy geometric programming with several objective function. Fuzzy Sets and Systems 35, 115–120 (1990)
Cao, B.Y.: Types of non-distinct multiobjective geometric programming. Hunan Annals of Mathematics 15(1), 99–106 (1995)
Wu, F., Yuan, Y.Y.: Geometric programming. Math. in Practice and Theory, 1–2 (1982)
Tanaka, H., et al.: On fuzzy mathomatical programming. J. Cybern. 3 (4), 37–46 (1973)
Cao, B.Y.: Fuzzy geometric programming optimum seeking of scheme for waste-water disposal in power plant. In: Proc. of FUZZ-IEEE/IFES 1995, pp. 793–798 (1995)
Yu, Y.Y., Cao, B.Y., et al.: The application of geometric and fuzzy geometric programming in option of economic supply radius of transformer substation. In: Proc. of the ICIK 1995, pp. 245–249 (1995)
Wilde, D.J., Beightler, C.S.: Foundations of optimization, pp. 76–109. Prentice Hall Co. Inc., Englewood Cliffs (1967)
Cao, B.Y.: Optimal models and methods with fuzzy quantity. Springer, Heidelberg (2010)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Cao, By. (2012). Properties and Algorithms for Fuzzy Geometric Programming. In: Cao, BY., Xie, XJ. (eds) Fuzzy Engineering and Operations Research. Advances in Intelligent and Soft Computing, vol 147. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28592-9_5
Download citation
DOI: https://doi.org/10.1007/978-3-642-28592-9_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-28591-2
Online ISBN: 978-3-642-28592-9
eBook Packages: EngineeringEngineering (R0)