M. Sam'an, Farikhin, Alamsyah
Ranking fuzzy numbers is very important decision making in process, procedure, analysis and application. In practice, many problems in real situation which need handling and evaluating for problems have fuzzy data, so that ranking fuzzy number can be used to make decision precisely. Vincent and Dat proposed an improved Liou and Wang's approach for left, right, and total integral values of the fuzzy number. However, the improved by Vincent and Dat fails to rank trapezoidal fuzzy numbers having equal the compensation of areas. This paper proposes an improved ranking method to overcome shortcomings of Vincent and Dat's ranking method. The improved ranking method for ranking trapezoid fuzzy numbers, presenting the left, right, and total integral values from inverse function of trapezoid fuzzy numbers. Finally, the comparative example is given here to illustrate the advantages of the improved ranking method for ranking trapezoid fuzzy numbers © Published under licence by IOP Publishing Ltd.
Faculty of Technology Management and Business, Universiti Tun Hussein Onn Malaysia (UTHM), Johor, Batu Pahat, 86400, Malaysia; Department of Mathematics, University of Diponegoro, Jl. Prof Soedarto, SH Tembalang, Semarang, 1269, Indonesia; Department of Computer Science, Faculty of Mathematics and Natural Science, Universitas Negeri Semarang, Sekaran, Gunungpati, Semarang, 50229, Indonesia
