Optimization for different types of transportation problems with fuzzy coefficients in the objective function

Article type: Research Article

Authors: Kumar, Amit | Kaur, Amarpreet

Affiliations: School of Mathematics and Computer Applications Thapar University, Patiala, India

Note: [] Corresponding author. Amit Kumar, School of Mathematics and Computer Applications Thapar University, Patiala-147 004, India. Emails: amit_rs_iitr@yahoo.com (Amit Kumar), amanpreettoor@gmail.com (Amarpreet Kaur).

Abstract: To the best of our knowledge, there is no method in the literature for solving such fuzzy transportation problems in which the different cost parameters are represented by different type of LR flat fuzzy numbers. In this paper, a new method is proposed for solving similar type of fuzzy transportation problems. To illustrate the proposed method and also to show the advantages of the proposed method some fuzzy transportation problems which can not be solved by using any of the existing method are solved. Also, it is shown that the fuzzy transportation problems which can be solved by the existing methods can also be solved by using the proposed method and the same results are obtained.

Keywords: Linear programming, fuzzy transportation problems, L – R fuzzy number

DOI: 10.3233/IFS-2012-0514

Journal: Journal of Intelligent & Fuzzy Systems, vol. 23, no. 5, pp. 237-248, 2012