Abstract

The aim of this paper is to obtain the optimum solution for an intuitionistic fuzzy transportation problem using IFVAM &IMDM Revised Distribution Method. Here a new type of intuitionistic triangular fuzzy number (TRIFN) is used. The solution procedure illustrated with numerical example.

Keywords

References

[1] Abbasbandy, S and Hajjari.T A new approach for ranking of trapezoidal fuzzy numbers, Computers and Mathematics with Applications, 57, (2009), 413-419
[2] Angelov, PP Optimization in an intuitionistic fuzzy environment, Fuzzy Sets and Systems, 86, (1997),299-306
[3].Basirzadeh.H, Ones assignment method for solving assignment problems, Applied Mathematical Sciences, 6(47) (2012) 2345 – 2355.
[4] Chanas, S, W. Kolodziejckzy and A. Machaj A fuzzy approach to the transportation problem, Fuzzy sets and Systems,13(3), (1984), 211- 221.
[5 ] Chen, S H. Ranking fuzzy numbers with maximizing set and minimizing set, Fuzzy Sets and Systems, 17(2), (1985), 113 – 129
[6] Chen, S M andChen J. H. Fuzzy risk analysis based on ranking generalized fuzzy numbers with different heights and different spreads, Expert Systems with Applications, 36, (2009), 6833- 6842.
[7] De ,PK and Das,D .Ranking of trapezoidal intuitionistic fuzzy numbers, 12th International Conference on Intelligent Systems Design and Applications (ISDA), (2012), 184 – 188.
[8] Hussain , RJ and Senthil Kumar,P .Algorithm approach for solving intuitionistic fuzzy transportation problem, Applied mathematical sciences, 6 (80), (2012), 3981- 3989.
[9] Nehi, HM. A new ranking method for intuitionistic fuzzy numbers, International journal of fuzzy systems,12 (1) , (2010), 80 – 86.
[10] Nagoor Gani A and Abbas,S, Solving intuitionistic fuzzy transportation problem using zero suffix algorithm, IJMSEA, 6(III) (2012) 73-82.
[11] Nagoor Gani.A and Abbas.S, Revised Distribution Method for Intuitionistic Fuzzy Transportation Problem Intern. J. Fuzzy Mathematical Archive Vol. 4, No. 2, 2014, 96-103ISSN: 2320 –3242 (P), 2320 –3250 (online) Published on 12 July 2014
[12] Pandian ,P and G. Natarajan (2010).A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems, Applied mathematical sciences, Vol. 4 (2), 79 -90.
[13] Rezvani S. Ranking method of trapezoidal intuitionistic fuzzy numbers, Annals of Fuzzy Mathematics and Informatics, Volume x, No. x, (2012) 1 – xx
[14] Wengi.Z and .Li.H, Note on some operations on intuitionistic fuzzy sets, Fuzzy Setsand Systems, 157 (2006) 990 – 991.
[15] Zadeh, LA (1965). Fuzzy sets, Information and Control, 8,338- 353