A new approach to fuzzy quantities ordering based on distance method and its applications for solving fuzzy linear programming
محورهای موضوعی : linear Programmingس.ح ناصری 1 , ا. دربان جعفری 2 , ر. چمه 3
1 - Department of Mathematics, University of Mazandaran, Babolsar, Iran
2 - Department of Mathematics, University of Mazandaran, Babolsar, Iran.
3 - Department of Mathematics, University of Mazandaran, Babolsar, Iran.
کلید واژه: fuzzy number, Fuzzy linear programming, simplex algorithm, fuzzy ordering,
چکیده مقاله :
Many ranking methods have been proposed so far. However, there is yet no method that can always give a satisfactory solution to every situation; some are counterintuitive, not discriminating; some use only the local information of fuzzy values; some produce different ranking for the same situation. For overcoming the above problems, we propose a new method for ranking fuzzy quantities based on the distance method. Then, an application of using fuzzy ordering in the fuzzy mathematical programming as well as fuzzy primal simplex algorithm is indicated. In particular, we emphasize that the fuzzy ordering will be useful when a decision maker needs to evaluate the optimality condition in any solving process.
بسیاری از روش های رتبه بندی تا کنون مطرح شده است. با این حال، هنوز هیچ روشی وجود ندارد که همیشه راه حل رضایت بخشی در هر وضعیتی بدهد؛ بعضی ها قابل شمارشند، بعضی غیر قابل شمارش، برخی تنها برای اطلاعات محلی ارزش های فازی استفاده می شوند، برخی رتبه بندی مختلفی برای حالت های مشابه تولید می کنند. برای غلبه بر مشکلات فوق ما روشی را برای رتبه بندی مقادیر فازی بر اساس روش فاصله پیشنهاد می کنیم. سپس، نرم افزار با استفاده از ترتیب فازی در برنامه نویسی ریاضی فازی را مانند الگوریتم سیمپلکس اولیه فازی نشان می دهیم. به ویژه تاکید می کنیم که ترتیب فازی هنگامی که یک تصمیم گیری باید برای وضعیت بهینه در هر فرآیند حل ارزیابی شود ، مفید می باشد.
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