Goal programming approach for solving transportation problem with interval cost

Article type: Research Article

Authors: Narayanamoorthy, Samayan | Anukokila, Paraman

Affiliations: Department of Applied Mathematics, Bharathiar University, Coimbatore, Tamil Nadu, India

Note: [] Corresponding author. Paraman Anukokila, Department of Applied Mathematics, Bharathiar University, Coimbatore-641 046, Tamil Nadu, India. E-mails: anuparaman@gmail.com; snm_phd@yahoo.co.in (Samayan Narayanamoorthy).

Abstract: This paper presents a fuzzy goal programming approach for solving multi-objective transportation problem with interval cost. The fuzzy goal programming approach is used for achieving highest degree of each of the membership goals by minimizing negative deviational variables. Also a special type of hyperbolic membership function to each objective function describe fuzzy goal. A numerical example is given to illustrate the potential use of the proposed approach.

Keywords: Transportation problem, fuzzy goal programming, interval number, multi objective programming

DOI: 10.3233/IFS-130801

Journal: Journal of Intelligent & Fuzzy Systems, vol. 26, no. 3, pp. 1143-1154, 2014