1 minute read

International Journal for Research in Applied Science & Engineering Technology (IJRASET)

ISSN: 2321-9653; IC Value: 45.98; SJ Impact Factor: 7.538

Advertisement

Volume 11 Issue III Mar 2023- Available at www.ijraset.com

V. DISCUSSION AND CONCLUSIONS

The developed procedure for obtaining an optimal solution of a transportation problem with fuzzy costs and involving impurity restrictions is computationally efficient. The optimal values of xij’s can be obtained by the method by Kantiswarup [1965]. A computer program can be developed with ease in any programming language for this purpose. The optimal values of dij’s and hence the unit costs can be obtained using expressions given in the method. The fuzzy transportation problem considered in this work may not possess an optimal solution, in some cases. This may be attributed to the presence of the impurity restrictions. In such cases, a feasible solution and therefore an optimal solution may be obtained by relaxing the impurity restrictions of the destinations to some extent.

References

[1] Lin and Wen ; A GA Based fuzzy controller with slideing mode.

[2] Bellman, R.E., Zadeh, L.A.: Decision making in a fuzzy environment, Management Science17 (1970) B141-B164.

[3] Chanas and kuchta, A new approach to fuzzy goal programming, Proceedings of the 2nd International Conference in Fuzzy Logic and Technology, Leicester, United Kingdom, September 5-7, 2001

[4] Singh & Saxena , Analysis of intelligence techniques on sensor less speed control of Doubly fed Induction machine

[5] Fuzzy Set Theory Fuzzy Logic and Their Applications Paperback – January 1, 2013 by A.K. Bhargava

[6] Fuzzy Set Theory and Its Applications, Zimmermann, Hans-Jürgen

[7] Klir, G.J., Yuan, B.: Fuzzy Sets and Fuzzy Logic-Theory and Applications, Prentice-Hall Inc. (1995).

[8] Operations research , S.D.Sharma &V.K. Kapoor, Khanna Publications.

This article is from: