publication . Article . 2007

A METHOD FOR SOLVING LINEAR PROGRAMMING PROBLEMS WITH FUZZY PARAMETERS BASED ON MULTIOBJECTIVE LINEAR PROGRAMMING TECHNIQUE

Maryam Zangiabadi; Hamid Reza Maleki;
Open Access
  • Published: 01 Jan 2007 Journal: Asia-Pacific Journal of Operational Research, volume 24, issue 4, pages 557-573
Abstract
<jats:p> 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 based on those for multiobjective linear programming problems. Then by using the concept of comparison of fuzzy numbers, we transform a linear programming problem with fuzzy parameters to a multiobjective linear programming problem. To this end, we propose several theorems which are used to obtain optimal solutions of linear programming problems with fuzzy parameters. Finally some examples are given for illu...
Persistent Identifiers
Subjects
free text keywords: Linear optimization, fuzzy number, ranking function, multiobjective linear programming, Management Science and Operations Research, Fuzzy transportation, Stochastic programming, Goal programming, Fuzzy number, Mathematics, Criss-cross algorithm, Fuzzy set operations, Nonlinear programming, Mathematical optimization, Linear-fractional programming
Any information missing or wrong?Report an Issue