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:: Volume 6, Issue 4 (11-2016) ::
2016, 6(4): 27-38 Back to browse issues page
Global optimization of fractional posynomial geometric programming problems under fuzziness
F. Zahmatkesh , B. Y. Cao
School of Mathematics and Information Science, Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong, Higher Education Institutes, Guangzhou University, Guangzhou
Abstract:   (6746 Views)

In this paper we consider a global optimization approach for solving fuzzy fractional posynomial geometric programming problems. The problem of concern involves positive trapezoidal fuzzy numbers in the objective function. For obtaining an optimal solution, Dinkelbach’s algorithm which achieves the optimal solution of the optimization problem by means of solving a sequence of subproblems is extended to the proposed problem. In addition, An illustrative example is included to demonstrate the correctness of the proposed solution algorithm.

Keywords: Trapezoidal fuzzy number, Fractional programming, Global optimization, Posynomial geometric programming, Parametric approach.
Full-Text [PDF 589 kb]   (2408 Downloads)    
Type of Study: Research | Subject: Special
Received: 2016/03/15 | Accepted: 2016/08/16 | Published: 2017/06/19
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Zahmatkesh F, Cao B Y. Global optimization of fractional posynomial geometric programming problems under fuzziness. International Journal of Applied Operational Research 2016; 6 (4) :27-38
URL: http://ijorlu.liau.ac.ir/article-1-538-en.html


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Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Volume 6, Issue 4 (11-2016) Back to browse issues page
ژورنال بین المللی پژوهش عملیاتی International Journal of Applied Operational Research - An Open Access Journal
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