Fuzzy optimization of primal-dual pair using piecewise linear membership functions
نویسندگان
چکیده
منابع مشابه
On fuzzy goal programming with piecewise linear membership functions
This paper deals with the adaptation to fuzzy goal programming of the most used methods to formulate, as a linear programming problem, a classic goal programming problem with piecewise linear penalty functions. Up to now, the literature has been only dealing with the adaptation of the Charnes and Cooper’s method. In this paper we show that the mentioned adaptations are not completely correct. W...
متن کاملSolving fuzzy inequalities with piecewise linear membership functions
This paper deals with systems of fuzzy inequalities. It shows that a system of fuzzy inequalities with piecewise linear membership functions can be converted to a one-constraint nonlinear programming problem by employing the concepts of constraint surrogation and maximum entropy. An augmented Lagrangean algorithm is then applied to solve the resulting problem. Some computational results are inc...
متن کاملSOLVING FUZZY LINEAR PROGRAMMING PROBLEMS WITH LINEAR MEMBERSHIP FUNCTIONS-REVISITED
Recently, Gasimov and Yenilmez proposed an approach for solving two kinds of fuzzy linear programming (FLP) problems. Through the approach, each FLP problem is first defuzzified into an equivalent crisp problem which is non-linear and even non-convex. Then, the crisp problem is solved by the use of the modified subgradient method. In this paper we will have another look at the earlier defuzzifi...
متن کاملExponential membership function and duality gaps for I-fuzzy linear programming problems
Fuzziness is ever presented in real life decision making problems. In this paper, we adapt the pessimistic approach tostudy a pair of linear primal-dual problem under intuitionistic fuzzy (I-fuzzy) environment and prove certain dualityresults. We generate the duality results using exponential membership and non-membership functions to represent thedecision maker’s satisfaction and dissatisfacti...
متن کاملDual-primal algorithm for linear optimization
The purpose of this paper is to present a new approach for solving linear programming, which has some interesting theoretical properties. In each step of the iteration, we trace a direction completely different from primal simplex method, dual simplex method, primal-dual method and interior point method. The new method is impervious to primal degeneracy and can reach a pair of exact primal and ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: YUJOR
سال: 2012
ISSN: 0354-0243,1820-743X
DOI: 10.2298/yjor090519008p