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...

The paper proposes a new kind of method for solving fuzzy linear programming problems based on the satisfaction (or ful/llment) degree of the constraints. Using a new ranking method of fuzzy numbers, the ful/llment of the constraints can be measured. Then the properties of the ranking index are discussed. With this ranking index, the decision maker can make the constraints tight or loose based ...

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...

This paper presents a modified feature ranking method on interclass separability based for fuzzy control application. Existing feature selection/ranking techniques are mostly suitable for classification problems. These techniques result in a ranking of the input feature or variables. Our modification exploits an arbitrary fuzzy clustering of the control output data. Using these output clusters ...

Fuzzy risk analysis, as a powerful tool to address uncertain information, can provide an appropriate method for risk analysis. However, the previous fuzzy risk analysis methods still have some weaknesses. To overcome the weaknesses of existing fuzzy risk analysis methods, a novel method for ranking generalized fuzzy numbers is proposed for addressing fuzzy risk analysis problems. In the propose...

In this paper, we investigate a new method to handle multiple attribute group decision making (MAGDM) problems based on combined ranking value under interval type-2 fuzzy environment, in which all the attribute values provided by experts take the form of interval type-2 fuzzy sets (IT2FSs). We first introduce some basic concepts and related operational laws on IT2FSs. Then, we put forward three...

In this paper fuzzy set theory has been applied to discrete event simulation to model uncertainty in input data. Various approaches to fuzzy simulation have been proposed in literature, even if many problems are still to be solved. The key points are how to manage the simulation event list and how to update the fuzzy simulation clock. These two tasks are mainly based on the ranking algorithm. I...

This paper proposes a method to solve the group decision making (GDM) problems with multi-granularity linguistic assessment information. In the method, the multi-granularity linguistic information provided by experts is firstly expressed in the form of fuzzy numbers. In order to make the collective opinion close to each expert’s opinion, a linear goal programming model is constructed to integra...

This study presents an approximate approach for ranking fuzzy numbers based on the centroid point of a fuzzy number and its area. The total approximate is determined by convex combining of fuzzy number’s relative and its area that based on decision maker’s optimistic perspectives. The proposed approach is simple in terms of computational efforts and is efficient in ranking a large quantity of f...