Transportation Problem with Heptagonal Intuitionistic Fuzzy Number Solved Using Value Index and Ambiguity Index

Abstract

This paper proposes a new ranking technique to solve transportation problems in an intuitionistic fuzzy environment. Heptagonal Intuitionistic Fuzzy Number  with degree of membership and degree of non-membership function represent the demand and supply of the transportation problems and cost of the transportation problem as real values. The validity of the proposed method is illustrated with an example involving   a transportation problem for miminizing cost with Heptagonal intuitionistic fuzzy number. The proposed ranking method is used to convert Heptagonal  Intuitionistic Fuzzy Number into crisp values to solve the transportation problem.