Fuzzy programming technique to solve multi-objective transportation problems with some non-linear membership functions
✍ Scribed by Rakesh Verma; M.P. Biswal; A. Biswas
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 379 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0165-0114
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✦ Synopsis
The Multi-objective transportation problem refers to a special class of 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) membership functions to solve the multi-objective transportation problem. It gives an optimal compromise solution. The obtained result has been compared with the solution obtained by using a linear membership function. To illustrate the methodology a numerical example is presented. (~) 1997 Published by Elsevier Science B.V.