طريقة المستوي القاطع التفاعلية للبرمجة المتعددة الأهداف بوسائط ضبابية

Authors

  • زياد قناية

Abstract

تقدم في هذا البحث طريقة حل تفاعلية لمسائل البرمجة الرياضية المتعددة الأهداف مع وجود وسائط ضبابية في كل من دوال الهدف وفي القيود، وتعالج تلك الوسائط كأعداد ضبابية.

ومن أجل هذه المسائل يقدم مفهوم أمثلية a-بارتو كتوسيع لأمثلية بارتو العادية وذلك بالاعتماد على مجموعات a-مرتبة للأعداد الضبابية.

وتعتمد طريقة الحل المقترحة على المستويات القاطعة التي تبنى على نسب مقايضة موضعية بين دوال الهدف موصوفة من قبل متخذ القرار وذلك عند كل تكرار مولد بالطريقة. وتم تقديم مثال عددي لتوضيح هذه الطريقة.

This paper presents an interactive solution method for treating multiobjective mathematical programming problems with fuzzy parameters in the objective functions and in the constraints. Theses fuzzy parameters are characterized by fuzzy numbers. For such problems, the concept of a-Pareto optimality introduced by extending the ordinary Pareto optimality based on the a-level sets of fuzzy numbers. The proposed solution method is based on cutting planes, which are based on local tradeoff ratios between the objective functions as prescribed by the decision maker at each iterate generated by the method. An illustrative numerical example is given to clarity this method.

Author Biography

زياد قناية

قسم الرياضيات –  كلية العلوم –  جامعة تشرين –  اللاذقية –  سورية

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Published

2013-04-28

How to Cite

1.
قناية ز. طريقة المستوي القاطع التفاعلية للبرمجة المتعددة الأهداف بوسائط ضبابية. TUJ-BA [Internet]. 2013Apr.28 [cited 2025Apr.3];35(2). Available from: https://journal.tishreen.edu.sy/index.php/bassnc/article/view/50

Issue

Vol. 35 No. 2 (2013): العلوم الأساسية

Section

Articles

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