In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

Abstract. Many ranking methods have been proposed so far. However, there is not a method that can always give a satisfactory solution to every situation; some method are counterintuitive, others methods give different rankings solutions for the same conditions, this is not the case of Liou and Wang method, however, this method can give the same ranking for different fuzzy number, so that, we pr...

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 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

In this paper, a novel method for ranking of fuzzy numbers are proposed. In this method, decision maker is defined based on the center of mass at some cuts of a pair of fuzzy numbers in discreet version and center of mass on all of cuts of a pair of fuzzy numbers in continuous version. Our method can rank more than two fuzzy numbers simultaneously. Also, some properties of methods are described...

supplier evaluation and selection is complex which caused by the dynamic and fuzzy environment. current mcdm methods do not consider the nature of the environment that can affect the process of evaluation and ranking. the aim of this study is to propose a dynamic fuzzy hybrid mcdm method for evaluation, ranking and selection. the proposed method employs fuzzy analytic hierarchy process (fahp) f...

Ranking of fuzzy numbers play an important role in decision making, optimization, forecasting. In fuzzy decision making problems fuzzy numbers must be ranked before an action is taken by a decision maker. Chen and Li have proposed on “Representation, ranking, and distance of fuzzy number with exponential membership function using grade mean integration method" by ranking index for ranking expon...

Ranking of fuzzy numbers plays a very important role in linguistic decision making and some other fuzzy application systems. Several strategies have been proposed for ranking of fuzzy numbers. Each of these techniques has been shown to produce nonintuitive results in certain cases. In this paper, some new approaches for ranking of trapezoidal fuzzy numbers are introduced. Keywords— Magnitude of...

PROMETHEE refers to a collection of methods of ranking in the field of multi-criteria decision making. These methods are characterized by conceptual simplicity and practical applicability. However, the nature of phenomena involving decision-making in real world leads us to use fuzzy method of preference ranking. The most common criticism on mathematical ranking procedures is that they tend to d...

Introduction: In many applications, ranking of fuzzy numbers is an important component of the decision process. Many authors have investigated the use of fuzzy sets in ranking alternatives and they have studied different methods of raking fuzzy sets. Particularly, the ranking of fuzzy numbers. In a paper by Cheng [A new approach for ranking fuzzy numbers by distance method, Fuzzy Sets and Syste...