In this paper we have analyzed the accomplishment of several consistency conditions in a real decision case. A group of students showed their intensities of preference among the alternatives by means of linguistic labels represented by real numbers. The absolute and relative fulfillments of some kinds of fuzzy transitivity properties have been studied for individual and collective preferences. ...

Interval Type-2 Fuzzy TOPSIS (IT2FTOPSIS) is a useful way to handle Fuzzy Multiple Attribute DecisionMaking (FMADM) problems in a more flexible and intelligent manner. It is very useful due to the fact that it uses Type-2 Fuzzy Sets (T2FSs) rather than Type-1 Fuzzy Sets (T1FSs) to represent the evaluating values and the weights of attributes. Besides, all the linguistic terms are pointed in Typ...

In group decision making situations, there may be cases in which experts do not have an in-depth knowledge of the problem to be solved and, as a result, they may present incomplete information. In this paper, we present a new selection process to deal with incomplete fuzzy linguistic information. As part of it, we use an iterative procedure to estimate the missing information. This procedure is...

Hesitant fuzzy sets have a unique characteristic that its basic element could manifest the assessment values of different decision makers on same option under certain criterion. Base-criterion method is very significant tool for calculating weights criteria in multiple decision-making. In this paper, we developed novel approach hesitant BCM based multiplicative preference relation group making....

10 This article proposes a framework to handle multiattribute group decision making 11 problems with incomplete pairwise comparison preference over decision alternatives 12 where qualitative and quantitative attribute values are furnished as linguistic variables 13 and crisp numbers, respectively. Attribute assessments are then converted to interval14 valued intuitionistic fuzzy numbers (IVIFNs...

Although crisp data are fundamentally indispensable in the conventional linear programming technique for multidimensional analysis of preference (LINMAP), the observed values in the real-world problems are often imprecise or vague. These imprecise or vague data can be suitably characterized by linguistic terms which are fuzzy in nature. LINMAP has been widely used to solve multi-attribute decis...

In this paper, we propose a dominance-based rough set approach for the decision analysis of a preference-ordered uncertain data table, which is comprised of a finite set of objects described by a finite set of criteria. The domains of the criteria may have ordinal properties that express preference scales. In the proposed approach, we first compute the degree of dominance between any two object...

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...