Abstract
With an exponent-type membership function serving as conduct fuzzy value, the author builds a model in fuzzy reversed posynomial geometric programming with its dual programming developed. In the application process of fuzzy reversed posynomial geometric programming , he consequently discovers that the former can be changed into a convex parameter geometric programming with respect to α,β. Therefore, he can get many nice properties like fuzzy posynomial geometric programming. Besides,he advances a dual theory and algorithm in fuzzy reversed posynomial geometric programming. And finally he uses numerical examples to testify the built model and its method effectively.
Keywords
- Membership Function
- Dual Theorem
- Geometric Programming
- Fuzzy Optimal Solution
- Global Minimum Solution
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2007 Springer Berlin Heidelberg
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Cao, By. (2007). Fuzzy Reversed Posynomial Geometric Programming and Its Dual Form. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_55
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DOI: https://doi.org/10.1007/978-3-540-72950-1_55
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-72917-4
Online ISBN: 978-3-540-72950-1
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