A Two-Fold Linear Programming Model with Fuzzy Data

Saber Saati, Adel Hatami-Marbini, Madjid Tavana and Elham Hajiahkondi
Additional contact information
Saber Saati: Islamic Azad University, North Tehran Branch, Iran
Adel Hatami-Marbini: Université catholique de Louvain, Belgium
Madjid Tavana: La Salle University, USA
Elham Hajiahkondi: Payame Noor University, Iran

International Journal of Fuzzy System Applications (IJFSA), 2012, vol. 2, issue 3, 1-12

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.

Date: 2012
References: Add references at CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://services.igi-global.com/resolvedoi/resolve. ... 018/ijfsa.2012070101 (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:igg:jfsa00:v:2:y:2012:i:3:p:1-12

Access Statistics for this article

International Journal of Fuzzy System Applications (IJFSA) is currently edited by Deng-Feng Li

More articles in International Journal of Fuzzy System Applications (IJFSA) from IGI Global
Bibliographic data for series maintained by Journal Editor ().