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Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function
المؤلفون المشاركون
Jia, Yan-lin
Yang, Yan
Zhong, Yi-hua
Chen, Dandan
المصدر
Journal of Applied Mathematics
العدد
المجلد 2013، العدد 2013 (31 ديسمبر/كانون الأول 2013)، ص ص. 1-9، 9ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2013-06-27
دولة النشر
مصر
عدد الصفحات
9
التخصصات الرئيسية
الملخص EN
Recently, various methods have been developed for solving linear programming problems with fuzzy number, such as simplex method and dual simplex method.
But their computational complexities are exponential, which is not satisfactory for solving large-scale fuzzy linear programming problems, especially in the engineering field.
A new method which can solve large-scale fuzzy number linear programming problems is presented in this paper, which is named a revised interior point method.
Its idea is similar to that of interior point method used for solving linear programming problems in crisp environment before, but its feasible direction and step size are chosen by using trapezoidal fuzzy numbers, linear ranking function, fuzzy vector, and their operations, and its end condition is involved in linear ranking function.
Their correctness and rationality are proved.
Moreover, choice of the initial interior point and some factors influencing the results of this method are also discussed and analyzed.
The result of algorithm analysis and example study that shows proper safety factor parameter, accuracy parameter, and initial interior point of this method may reduce iterations and they can be selected easily according to the actual needs.
Finally, the method proposed in this paper is an alternative method for solving fuzzy number linear programming problems.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zhong, Yi-hua& Jia, Yan-lin& Chen, Dandan& Yang, Yan. 2013. Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498737
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zhong, Yi-hua…[et al.]. Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function. Journal of Applied Mathematics No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-498737
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zhong, Yi-hua& Jia, Yan-lin& Chen, Dandan& Yang, Yan. Interior Point Method for Solving Fuzzy Number Linear Programming Problems Using Linear Ranking Function. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-498737
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-498737
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
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