A two-fold linear programming model with fuzzy data

Date

2012

Advisors

Journal Title

Journal ISSN

ISSN

Volume Title

Publisher

IGI Global

Type

Article

Peer reviewed

Yes

Abstract

Linear programming (LP) is the most widely used optimization technique for solving real-life problems because of its simplicity and efficiency. Although LP models require well-suited information and precise data, managers and decision makers dealing with optimization problems often have a lack of information on the exact values of some parameters used in their models. Fuzzy sets provide a powerful tool for dealing with this kind of imprecise, vague, uncertain or incomplete data. In this paper, the authors propose a two-fold model which consists of two new methods for solving fuzzy LP (FLP) problems in which the variables and the coefficients of the constraints are characterized by fuzzy numbers. In the first method, the authors transform their FLP model into a conventional LP model by using a new fuzzy ranking method and introducing a new supplementary variable to obtain the fuzzy and crisp optimal solutions simultaneously with a single LP model. In the second method, the authors propose a LP model with crisp variables for identifying the crisp optimal solutions. The authors demonstrate the details of the proposed method with two numerical examples.

Description

Keywords

Fuzzy Decision Variables, Fuzzy Linear Programming, Fuzzy Sets

Citation

Saati, S., Hatami-Marbini, A., Tavana, M. and Hajiahkondi, E. (2012) A two-fold linear programming model with fuzzy data. International Journal of Fuzzy System Applications (IJFSA), 2 (3)

Rights

Research Institute

Centre for Enterprise and Innovation (CEI)