Fuzzy LP with a Non-Linear MF for Product-Mix Solution: A Case-Based Re-modelling and Solution
نویسندگان
چکیده
This paper deals with re-modelling of a fuzzy linear programming (FLP) for an optimal product-mix decision problem and its solution. Database of a chocolate exporting company has been used here to show the practicability of using the proposed model. The proposed model includes a non-linear membership function (MF), a logistic function, which resemblances the realistic behaviour of the solution. A software platform LINGO has been utilized to find the optimal solution.
منابع مشابه
Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP
Product-mix decision through theory of constraints (TOC) should take into account considerations like the decisionmaker’s (DM) level of satisfaction in order to make product-mix decision a robust one. Sensitivity of the decision made, needs to be focused for a bottle-neck-free, optimal product-mix solution of TOC problem. A membership function (MF) has been suitably designed in the present work...
متن کاملPositive solution of non-square fully Fuzzy linear system of equation in general form using least square method
In this paper, we propose the least-squares method for computing the positive solution of a $mtimes n$ fully fuzzy linear system (FFLS) of equations, where $m > n$, based on Kaffman's arithmetic operations on fuzzy numbers that introduced in [18]. First, we consider all elements of coefficient matrix are non-negative or non-positive. Also, we obtain 1-cut of the fuzzy number vector solution of ...
متن کاملLP problems constrained with D-FRIs
In this paper, optimization of a linear objective function with fuzzy relational inequality constraints is investigated where the feasible region is formed as the intersection of two inequality fuzzy systems and Dombi family of t-norms is considered as fuzzy composition. Dombi family of t-norms includes a parametric family of continuous strict t-norms, whose members are increasing functions of ...
متن کاملA NOTE ON THE ZIMMERMANN METHOD FOR SOLVING FUZZY LINEAR PROGRAMMING PROBLEMS
There are several methods for solving fuzzy linear programming (FLP)problems. When the constraints and/or the objective function are fuzzy, the methodsproposed by Zimmermann, Verdegay, Chanas and Werners are used more often thanthe others. In the Zimmerman method (ZM) the main objective function cx is addedto the constraints as a fuzzy goal and the corresponding linear programming (LP)problem w...
متن کاملA Project Scheduling Method Based on Fuzzy Theory
In this paper a new method based on fuzzy theory is developed to solve the project scheduling problem under fuzzy environment. Assuming that the duration of activities are trapezoidal fuzzy numbers (TFN), in this method we compute several project characteristics such as earliest times, latest times, and, slack times in term of TFN. In this method, we introduce a new approach which we call modif...
متن کامل