A method for ranking fuzzy numbers based on the centroid point is proposed and some of its desirable properties are studied. Many different methods have been proposed to deal with ranking fuzzy numbers. Constructing ranking indexes based on centroides is an important. But some weaknesses are found in these indexes. The purpose of this article is to give a new ranking index to rank various numbe...

In this paper, an extended ranking method for fuzzy numbers, which is a synthesis of fuzzy targets and the Dempster–Shafer Theory (DST) of evidence, is devised. The use of fuzzy targets to reflect human viewpoints in fuzzy ranking is not new. However, different fuzzy targets can lead to contradictory fuzzy ranking results; making it difficult to reach a final decision. In this paper, the result...

In this paper, we consider a two persons zero sum game with imprecise values in payoff matrix. All the imprecise values are assumed to be octagonal fuzzy numbers. An approach for solving problems by using ranking of the fuzzy numbers has been considered to solve the fuzzy game problem. By using ranking to the payoffs we convert the fuzzy valued game problem to crisp valued game problem, which c...

In this paper first we review two ranking methods for intuitionistic fuzzy numbers (IF numbers), then we proposed a new ordering method for IF numbers in which we consider two characteristic values of membership and non-membership for an IF number. Key-Words: Intuitionistic Fuzzy Number, Ranking Function Methods, Characteristic Value

Recently two important methods [ \Area ranking of fuzzy numbers based on positive and negative ideal points", Computers and Mathematics with Applications, pp. 1769-1779 (2009)] have been proposed for ranking fuzzy numbers. But we have found that they both have a same basic disadvantage. In this paper, after a short review on diierent proposed fuzzy number ranking methods, we explain the drawbac...

In this paper the ranking method for intuitionistic fuzzy numbers is studied. The authors first define a possibility degree formula to compare two intuitionistic fuzzy numbers. In comparison with Chen and Tan’s score function, the possibility degree formula provides additional information for the comparison of two intuitionistic fuzzy numbers. Based on the possibility degree formula, the author...

Two families of metrics in space of intuitionistic fuzzy numbers are considered. A method of ranking intuitionistic fuzzy numbers based on these metrics is also suggested and invesigated.