Open AccessAn improved ranking method for fuzzy numbers using integral value of inverse function
Author(s) -
Muhammad Sam’an,
Farikhin,
Alamsyah
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1918/4/042147
Subject(s) - fuzzy number , ranking (information retrieval) , mathematics , defuzzification , fuzzy logic , rank (graph theory) , fuzzy classification , fuzzy set operations , ranking svm , inverse , fuzzy mathematics , type 2 fuzzy sets and systems , mathematical optimization , artificial intelligence , computer science , fuzzy set , combinatorics , geometry
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