FUZZY-PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NONLINEAR MEMBERSHIP FUNCTIONS

Authors
VERMA R BISWAL MP BISWAS A
Citation
R. Verma et al., FUZZY-PROGRAMMING TECHNIQUE TO SOLVE MULTIOBJECTIVE TRANSPORTATION PROBLEMS WITH SOME NONLINEAR MEMBERSHIP FUNCTIONS, Fuzzy sets and systems, 91(1), 1997, pp. 37-43
Citations number
17
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
91
Issue
1
Year of publication
1997
Pages
37 - 43
Database
ISI
SICI code
0165-0114(1997)91:1<37:FTTSMT>2.0.ZU;2-T
Abstract
The Multi-objective transportation problem refers to a special class o f vector-minimum linear programming problems in which the constraints are of equality type and all the objectives are non-commensurable and conflict with each other. All the methods either generate a set of non -dominated solutions or find a compromise solution. In this paper, we use a special type of non-linear (hyperbolic and exponential) membersh ip functions to solve the multi-objective transportation problem. It g ives an optimal compromise solution. The obtained result has been comp ared with the solution obtained by using a linear membership function. To illustrate the methodology a numerical example is presented. (C) 1 997 Published by Elsevier Science B.V.