Optimal Solution for the Intuitionistic Fuzzy Assignment Problem via Three Methods-IFRMM, IFOAM, IFAM
S. Krishna Prabha *
Mother Teresa Women’s University, Kodaikannal, India and Department of Mathematics, PSNA College of Engineering and Technology, Dindigul, Tamilnadu, India
S. Vimala
Department of Mathematics, Mother Teresa Women’s University, Kodaikannal, Tamilnadu, India
*Author to whom correspondence should be addressed.
Abstract
An Assignment Problem mainly deals with allocation and scheduling. In this work Intuitionistic Fuzzy Assignment Problem (IFAP) with the Trapezoidal Intuitionistic fuzzy numbers (TIFNS) is solved by using three different methods namely Intuitionistic Fuzzy Reduced Matrix Method (IFRMM), Intuitionistic Fuzzy Ones Assignment Method (IFOAM) and Intuitionistic Fuzzy Approximation Method (IFAM). A numerical example is illustrated to explain the above methods.
Keywords: Intuitionistic Fuzzy Assignment Problem (IFAP), Trapezoidal Intuitionistic Fuzzy Numbers (TIFNS), ranking function, optimal solution