multiobjective geometric programming with fuzzy parameters
Authors
abstract
generally, an engineering design problem has multiple objective functions. some of these problems can be formulated as multiobjective geometric programming models. on the other hand,often in the real world, coefficients of the objective functions are not known precisely. coefficients may be interpreted as fuzzy numbers, which lead to a multiobjective geometric programming with fuzzy parameters. in this paper, we solve the multiobjective geometric programming problem with fuzzy parameters by applying a linear ranking function. the linear ranking function is used to compare fuzzy numbers. finally, a numerical example is given.
similar resources
Geometric Programming Problem with Trapezoidal Fuzzy Variables
Nowadays Geometric Programming (GP) problem is a very popular problem in many fields. Each type of Fuzzy Geometric Programming (FGP) problem has its own solution. Sometimes we need to use the ranking function to change some part of GP to the linear one. In this paper, first, we propose a method to solve multi-objective geometric programming problem with trapezoidal fuzzy variables; then we use ...
full textA Method for Solving Linear Programming Problems with Fuzzy Parameters Based on Multiobjective Linear Programming Technique
In the real-world optimization problems, coefficients of the objective function are not known precisely and can be interpreted as fuzzy numbers. In this paper we define the concepts of optimality for linear programming problems with fuzzy parameters (FLP). Then by using the concept of comparison of fuzzy numbers we transform FLP problem into a multiobjective linear programming (MOLP) problem. T...
full textBILEVEL LINEAR PROGRAMMING WITH FUZZY PARAMETERS
Bilevel linear programming is a decision making problem with a two-level decentralized organization. The textquotedblleft leadertextquotedblright~ is in the upper level and the textquotedblleft followertextquotedblright, in the lower. Making a decision at one level affects that at the other one. In this paper, bilevel linear programming with inexact parameters has been studied and a method is...
full textMultiobjective Programming Problem with Fuzzy Relational Equations
⎯In this paper we propose a methodology for the solution of multiobjective programming problem with fuzzy relational equations (FRE’s) as constraints. In the first part of the proposed methodology, we find the feasible solution set of FRE’s and give an algorithm to compute minimal solutions and maximal solutions of objective functions which can also be computed by constructed computer program a...
full textGeometric Programming with Stochastic Parameter
Geometric programming is efficient tool for solving a variety of nonlinear optimizationproblems. Geometric programming is generalized for solving engineering design. However,Now Geometric programming is powerful tool for optimization problems where decisionvariables have exponential form.The geometric programming method has been applied with known parameters. However,the observed values of the ...
full textPosynomial Geometric Programming Problems with Multiple Parameters
Geometric programming problem is a powerful tool for solving some special type non-linear programming problems. It has a wide range of applications in optimization and engineering for solving some complex optimization problems. Many applications of geometric programming are on engineering design problems where parameters are estimated using geometric programming. When the parameters in the prob...
full textMy Resources
Save resource for easier access later
Journal title:
international journal of information science and managementجلد ۵، شماره ۲، صفحات ۳۵-۴۵
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023