International Journal of Information Science and Technology
Copyright © 2007 by Regional Library of Science and Technology
Vol 5, No 2, ISSN 1726-8125, 2007
MULTIOBJECTIVE GEOMETRIC PROGRAMMING WITH FUZZY PARAMETERS
H.R. Maleki, Ph.D. , Department of Basic Sciences Shiraz University of Technology, I. R. of Iran Corresponding Author
M. Mashinchi, Ph.D. , Faculty of Mathematics and Computer Sciences Shahid Bahonar University of Kerman, I. R. of Iran
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.
Keywords - Multiobjective Geometric Programming Problem, Pareto Optimality, Fuzzy Number, Ranking Function.
email: maleki@sutech.ac.ir