A modified approach for solving a fuzzy multi-objective programming problem
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- 作者：Ahmed M. K. Tarabia ; Mohamed A. E. Kassem ; Noha M. El-Badry
- 关键词：Multi ; objective ; Nonlinear programming ; Fuzzy number ; Ranking function ; Scalarization function
- 刊名：Applied Informatics
- 出版年：2017
- 出版时间：December 2017
- 年：2017
- 卷：4
- 期：1
- 全文大小：1570KB
- 刊物类别：Computing Methodologies; Bioinformatics; Health Informatics; Computer Imaging, Vision, Pattern Recog
- 刊物主题：Computing Methodologies; Bioinformatics; Health Informatics; Computer Imaging, Vision, Pattern Recognition and Graphics; Computer Applications; Statistics for Life Sciences, Medicine, Health Sciences;
- 出版者：Springer Berlin Heidelberg
- ISSN：2196-0089
- 卷排序：4
文摘
Based on ranking of fuzzy numbers which deals with fuzzy-valued multi-objective programming problem and the modified crisp model, a modified approach is proposed. Also, two algorithms that play a pivotal role in the proposed method are introduced. The first one returns a ranking function to a given fuzzy number and the second algorithm uses the modified crisp model to deliver a Pareto optimal solution. Moreover, we investigate the stability of the first kind of the solution which is obtained using these algorithms. Finally, a numerical example is given to illustrate our modified approach, using Maple program.