Methods for ordering fuzzy numbers play an important role as decision criteria, with applications in areas such as optimization and data mining, among others. Although there are several proposals for ordering methods in the fuzzy literature, many of them are difficult to apply and present some problems with ranking computation. For that reason, this work proposes an ordering method for fuzzy nu...

This paper presents a fuzzy optimization model to solve multicriteria decision making (MCDM) systems based on a fuzzy analytic hierarchy process (fuzzy AHP). To deal with the imprecise judgments of decision makers, a fuzzy AHP decision making model is proposed as an evaluation tool, where the expert’s comparison judgments are translated into fuzzy numbers. Unlike the conventional fuzzy AHP meth...

This paper proposes a quadratic programming method (QPM) for ranking alternatives based on multiplicative preference relations (MPRs) and fuzzy preference relations (FPRs). The proposed QPM can be used for deriving a ranking from either a MPR or a FPR, or a group of MPRs, or a group of FPRs, or their mixtures. The proposed approach is tested and examined with two numerical examples, and compara...

The notion of Intuitionistic Fuzzy Numbers (IFNs) has been improved in many decision making problems. Ranking of IFNs is one of the techniques that conceptualize IFNs to illustrate order or preference in decision making. Ranking of IFNs plays a very important role in multicriteria decision making, optimization and in many different fields but ranking of IFNs is not a very easy process. As far a...

A new Group Fuzzy Preference Programming (GFPP) method for fuzzy prioritisation in the Analytic Hierarchy Process is proposed. The assessment of the priorities from fuzzy pairwise comparison judgements is formulated as an optimisation problem, maximising the group’s overall satisfaction with the group solution. Unlike the existing fuzzy prioritisation methods, the GFPP method derives crisp prio...

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, a new approach is prposed for ordering fuzzy numbers based on bi-symmetrical weighted distance. The proposed method considers the bi-symmetrical weighted function and the bisymmetrical weighted distance of fuzzy numbers to rank fuzzy numbers. Some examples to compare the advantage of this approch with the existing metric index ranking methods is illustrated. The process to rank t...

The paper presents a new approach to deal with database preference queries, where preferences are represented in the style of possibilistic logic, using symbolic weights. The symbolic weights may be processed without the need of a numerical assignment of priority. Still, it is possible to introduce a partial ordering among the symbolic weights if necessary. On this basis, four methods that have...

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...