Title of article :
OPTIMIZATION OF LINEAR OBJECTIVE FUNCTION SUBJECT TO FUZZY RELATION INEQUALITIES CONSTRAINTS WITH MAX-AVERAGE COMPOSITION
Author/Authors :
ELYAS SHIVANIAN، ELYAS SHIVANIAN نويسنده FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN 15914, IRAN , , Esmaile Khorram، Esmaile Khorram نويسنده Esmaile Khorram, Esmaile Khorram , AMIN GHODOUSIAN، AMIN GHODOUSIAN نويسنده FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN 15914, IRAN ,
Issue Information :
دوفصلنامه با شماره پیاپی 0 سال 2007
Abstract :
در اين مقاله مسيله بهينه سازي يك تابع هدف خطي روي ناحيه اي، كه با عملگر Max-average تعريف مي شود، با توجه به تعداد متناهي از محدوديتهاي نا معادلات رابط- فازي بررسي مي شود. به منظور حل سريع تر مسيله يك روش جديد ساده سازي ارايه مي شود. كه در آن مولفه هايي كه در فرآيند حل بي تاثيرهستند، حذف مي شود. افزون بر آن يك الگوريتم و يك مثال عددي براي شرح و توصيف مراحل فرآيند حل آورده مي شود.
Abstract :
In this paper, the finitely many constraints of a fuzzy relation
inequalities problem are studied and the linear objective function on the region
defined by a fuzzy max-average operator is optimized. A new simplification
technique which accelerates the resolution of the problem by removing the
components having no effect on the solution process is given together with an
algorithm and a numerical example to illustrate the steps of the problem
resolution process.
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)
Journal title :
Iranian Journal of Fuzzy Systems (IJFS)