TY - JOUR
ID - 114137
TI - A new approach for ranking of intuitionistic fuzzy numbers
JO - Journal of Fuzzy Extension and Applications
JA - JFEA
LA - en
SN -
AU - Mohan, Suresh
AU - Kannusamy, Arun Prakash
AU - Samiappan, Vengataasalam
AD - Department of Mathematics, Kongu Engineering College, Erode, Tamil Nadu, India.
Y1 - 2020
PY - 2020
VL - 1
IS - 1
SP - 15
EP - 26
KW - intuitionistic fuzzy sets
KW - intuitionistic fuzzy numbers
KW - Trapezoidal Intuitionistic
KW - Fuzzy Numbers
KW - triangular intuitionistic fuzzy numbers
KW - magnitude of intuitionistic fuzzy number
DO - 10.22105/jfea.2020.247301.1003
N2 - The concept of an intuitionistic fuzzy number (I F N) is of importance for representing an ill-known quantity. Ranking fuzzy numbers plays a very important role in the decision process, data analysis and applications. The concept of an intuitionistic fuzzy number (IFN) is of importance for quantifying an ill-known quantity. Ranking of intuitionistic fuzzy numbers plays a vital role in decision making and linear programming problems. Also, ranking of intuitionistic fuzzy numbers is a very difficult problem. In this paper, a new method for ranking intuitionistic fuzzy number is developed by means of magnitude for different forms of intuitionistic fuzzy numbers. In Particular ranking is done for trapezoidal intuitionistic fuzzy numbers, triangular intuitionistic fuzzy numbers, symmetric trapezoidal intuitionistic fuzzy numbers, and symmetric triangular intuitionistic fuzzy numbers. Numerical examples are illustrated for all the defined different forms of intuitionistic fuzzy numbers. Finally some comparative numerical examples are illustrated to express the advantage of the proposed method.
UR - http://www.journal-fea.com/article_114137.html
L1 - http://www.journal-fea.com/article_114137_62c69e2442d72bfa78cee799043333bf.pdf
ER -