16992

16992

حل عددي مسئله ي برنامه ريزي خطي كسري فازي به روش عددي

كارشناسي ارشد

تحقيق در عمليات

مهر 1395

دكتر جواد وحيدي

دكتر رضا سعادتي

رياضي

1396/01/16

1/1/1900 12:00:00 AM

Abstract: The fuzzy linear fractional programming problem is an important planning tool in different areas such as engineering, business, finance, an​d economics. In this study, we propose the use of the (; r) acceptable optimal value for a linear fractional programming problem with fuzzy coefficients an​d fuzzy decision variables, as well as developing a method for com- puting them. To obtain acceptable (; r) optimal values, we take an α-cut on the objective function an​d r-cut on the constraints. We then formulate an equivalent bi-objective linear fractional programming problem to calculate the upper an​d lower bounds of the fully fuzzy LFP problem. Using the upper an​d lower bounds obtained, we construct the mem- bership functions of the optimal values numerically. We illustrate the proposed procedure using numerical an​d real life examples. Keywords: Bi-objective linear fractional programming problem، linear fractional programming problem، linear programming problem،Triangular fuzzy number