Implementation of BCM for Solving the Fuzzy Assignment Problem with Various Ranking Techniques
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
Allocations and job scheduling are mainly solved with the help of Assignment Problems. By choosing the best element from set of available alternative elements the optimization processes in mathematics, computer science and economics are solved effectively. The key idea of best candidate method (BCM) is to minimize the combinations of the solution by choosing the best candidates to reach the optimal solution. Triangular Fuzzy Assignment Problem is used and Method of magnitude is used for ranking of Triangular fuzzy numbers.
Keywords: Magnitude of fuzzy number, method of promoter operator, parametric form of fuzzy number, Ranking of fuzzy numbers, Triangular fuzzy number