ADDITIVE FUZZY MULTIPLE GOAL PROGRAMMING MODEL FOR UNBALANCED MULTIOBJECTIVE TRANSPORTATION PROBLEM

Lohgaonkar M.H.1*, Bajaj V.H.2*, Jadhav V.A.3
1Department of Statistics, Dr. B. A. M. University, Aurangabad, MS, India.
2Department of Statistics, Dr. B. A. M. University, Aurangabad, MS, India.
3Departments of Statistics, Science College, Nanded, MS, India.
* Corresponding Author : vhbajaj@gmail.com

Received : -     Accepted : -     Published : 15-06-2010
Volume : 2     Issue : 1       Pages : 29 - 34
Int J Mach Intell 2.1 (2010):29-34
DOI : http://dx.doi.org/10.9735/0975-2927.2.1.29-34

Keywords : Additive fuzzy method, goal programming, multiple fuzzy goals, unbalanced transportation problem
Conflict of Interest : None declared

Cite - MLA : Lohgaonkar M.H., et al "ADDITIVE FUZZY MULTIPLE GOAL PROGRAMMING MODEL FOR UNBALANCED MULTIOBJECTIVE TRANSPORTATION PROBLEM." International Journal of Machine Intelligence 2.1 (2010):29-34. http://dx.doi.org/10.9735/0975-2927.2.1.29-34

Cite - APA : Lohgaonkar M.H., Bajaj V.H., Jadhav V.A. (2010). ADDITIVE FUZZY MULTIPLE GOAL PROGRAMMING MODEL FOR UNBALANCED MULTIOBJECTIVE TRANSPORTATION PROBLEM. International Journal of Machine Intelligence, 2 (1), 29-34. http://dx.doi.org/10.9735/0975-2927.2.1.29-34

Cite - Chicago : Lohgaonkar M.H., Bajaj V.H., and Jadhav V.A. "ADDITIVE FUZZY MULTIPLE GOAL PROGRAMMING MODEL FOR UNBALANCED MULTIOBJECTIVE TRANSPORTATION PROBLEM." International Journal of Machine Intelligence 2, no. 1 (2010):29-34. http://dx.doi.org/10.9735/0975-2927.2.1.29-34

Copyright : © 2010, Lohgaonkar M.H., et al, Published by Bioinfo Publications. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution and reproduction in any medium, provided the original author and source are credited.

Abstract

This paper introduces fuzzy goal programming approach to unbalanced transportation problem with additive multiple fuzzy goals, when the goals are considered to be of equal importance. But in reality all goals may not be of equal importance. Here we have discussed two different ways of assigning weights to additional model described in the paper. The direct weights are used in fuzzy goal programming model for unbalanced multi-objective transportation problem.

References

[1] Bellman R. E. and Zadeh L. A. (1970) Management science 17, 141-164  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[2] Bit A. k., Biswal, M.P. and Alam S. S. (1993) Industrial Engineering Journal XXII, No. 6, 8- 12  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[3] Hannan E. L. (1981) Fuzzy Sets and Systems.6, 235-248  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[4] Hannan E. L. (1981) Decision Sciences, 12, 522-531  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[5] Ignizio J. P. (1976) Goal programming and extensions, Heath Lexington Books, London  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[6] Ignizio J. P. (1882) Linear programming in single and multiple objective systems, Prentice-Hall, England cliffs NJ  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[7] Ignizio J. P. (1883) Computers and Operations Research, 10, 277-289  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[8] Kwak N. K., (1979) OMEGA 7, 367-370  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[9] Lee S. M. (1972) Goal programming for decision analysis, Auerbach, Philadelphia  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[10] Lee S. M. and L. J. Moore. (1973) AIIE Transportation 5, 333-337  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[11] Norseman K. (1980) Decision Science, 11, 325- 336  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[12] Romero C. (1886) European Journal of and Operations Research 25, 183-191  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[13] Singh V. N. and Kishore N. (1991) Industrial Engineering Journal XX, 16-22  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[14] Tiwari R.N., Dharmar S. and Rao J. R. (1986) Fuzzy Sets and Systems 19, 251-259.  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus  

[15] Tiwari R.N., Dharmar S. and Rao J. R. (1987) Fuzzy Sets and Systems 24, 27-34  
» CrossRef   » Google Scholar   » PubMed   » DOAJ   » CAS   » Scopus