Fuzzy Transportation Problem with the Value and Ambiguity Indices of Trapezoidal Intuitionistic Fuzzy Numbers

Thangaraj Beaulaa,* and M. Priyadharsinib

Fuzzy Transportation Problem with the Value and Ambiguity Indices of Trapezoidal Intuitionistic Fuzzy Numbers

Authors :

Thangaraj Beaula^a,* and M. Priyadharsini^b

Author Address :

^a Department of Mathematics, T.B.M.L. College, Porayar-609 307, Tamil Nadu
^bDepartment of Science and Humanities, Bharathiyar College of Engineering and Technology, Karaikal-609 609.

*Corresponding author.

Abstract :

In this paper we introduced the concepts of trapezoidal intuitionistic fuzzy numbers. Then, values and ambiguities of the degree of acceptance and the degree of rejection for trapezoidal intuitionistic fuzzy numbers are defined as well as the value and ambiguity indices. Using these indices based ranking method; the intuitionistic fuzzy transportation problem is converted to crisp one. Then the stepping stone method is adopted to solve the reduced intuitionistic fuzzy transportation problem to obtain the optimal solution. Finally, the degree of acceptance and rejection for stepping stone method will be explained in the numerical example.

Keywords :

Trapezoidal intuitionistic fuzzy number, (a, b)-cuts, value and ambiguity indices, Stepping Stone Method.

DOI :

Article Info :

Received : June 10, 2015; Accepted : September 12, 2015.