OPTIMIZATION OF LINEAR OBJECTIVE FUNCTION SUBJECT TO FUZZY RELATION INEQUALITIES CONSTRAINTS WITH MAX-AVERAGE COMPOSITION

نویسندگان
KHORRAM, ESMAILE ID 1
SHIVANIAN, ELYAS ID 2
GHODOUSIAN, AMIN ID 3

1 FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN 15914, IRAN

2 FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN 15914, IRAN

3 FACULTY OF MATHEMATICS AND COMPUTER SCIENCE, AMIRKABIR UNIVERSITY OF TECHNOLOGY, TEHRAN 15914, IRAN

doi
10.22111/ijfs.2007.368
چکیده

In this paper, the finitely many constraints of a fuzzy relationinequalities problem are studied and the linear objective function on the regiondefined by a fuzzy max-average operator is optimized. A new simplificationtechnique which accelerates the resolution of the problem by removing thecomponents having no effect on the solution process is given together with analgorithm and a numerical example to illustrate the steps of the problemresolution process.

کلیدواژه‌ها
Linear objective function optimization, Fuzzy r e lation equations, Fuzzy relation inequalities