Open Access
Subscription Access
An Integer solution in Intuitionistic Transportation Problem with Application in Agriculture
In this paper, we investigate a Transportation problem which is a special kind of linear programming in which profits; supply and demands are considered as Intuitionistic triangular fuzzy numbers. The crisp values of these Intuitionistic triangular fuzzy numbers are obtained by defuzzifying them and the problem is formulated into linear programming problem. The solution of the formulated problem is obtained through LINGO software. If the obtained solution is non-integer then Branch and Bound method can be used to obtain an integer solution.
Keywords
Transportation Problem, Intuitionistic Triangular Fuzzy Numbers, Maximized Profit, Branch And Bound Method, Optimal Allocation and LINGO.
User
Font Size
Information
- Atanassov. K.(1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20: 87-96.
- De, P. K and Das, D. 2012. Ranking of trapezoidal intuitionistic fuzzy numbers. 12th International Conference on Intelligent Systems Design and Applications (ISDA);184 – 188.
- Fortemps. P and.Roubens .M.(1996 ). “Ranking and defuzzification methods based area compensation”.fuzzy sets and systems 82: 319-330.
- Gani. A. N and Abbas.S. A new method for solving intuitionistic fuzzy transportation problem,. Applied Mathematical Sciences, 7(28) : 1357 – 1365, (2013).
- Hakim. M. A. An alternative method to Find Intial basic Feasible Solution of transportation Problem. Annals of Pure and Applied Mathematics,1(2):203-209, (2012).
- Hitchcock, F. L. The distribution of product from several source to numerous localities. J. Maths. Phy. 20: 224-230, (1941).
- Hussain. R.J. and Kuma, P.S. Algorithm approach for solving intuitionistic fuzzy transportation problem, Applied Mathematical Sciences, 6 (80):3981- 3989, (2012).
- Koopman, T.C.(1947). Optimum utilization of transportation system. Proc. Intern. Statics. Conf. Washington D.C.
- Kumar. P. S. and Hussain.P.S. A method for solving balanced Intuitionistic fuzzy assignment problem, International Journal of Engineering Research and Applications, 4(3) : 897-903, (2014).
- Mi tchel l . N.H. (2011) . Mathemat ical Applications in Agriculture, 2nd ed.London: Cengage Learning.
- Orlovsky, S. A. On Formulation Of A General Fuzzy Mathematicakl programming problem. Fuzzy Sets and Systems, 3: 311321, (1980).
- Paul, A.R.J., Savarimuthu . S. J and Pathinathan.T. Method for solving the transpor tat ion problem us ing triangular Intuitionistic fuzzy number, InternationalJournal of Computing Algorithm, 3 : 590-605, (2014).
- Pramila. K and Ultra. G. Optimal Solution of an Intuitionistic Fuzzy Transportation Problem. Annals of Pure and Applied Mathematics,8(2):67-73, (2014).
- Thor nley.J, and France.J. (2006) . Mathematical Models in Agriculture, 2nded., Wallingford, Oxfordshire: CABI.
- Zadeh,L.A. Fuzzy Sets. Information and Control.8 :338-353, (1965).
Abstract Views: 295
PDF Views: 7