Recently, the utilization of invariant aggregation operators, i.e., aggregation operators not depending on a given scale of measurement was found as a very current theme. One type of invariantness of aggregation operators is the homogeneity what means that an aggregation operator is invariant with respect to multiplication by a constant. We present here a complete characterization of homogeneou...

This paper develops a newmethod for group decision making in political management and introduces the probabilistic ordered weighted averaging distance (POWAD) operator. It is a new aggregation operator that uses a unified model between probabilities and the OWA operator considering the degree of importance that each concept has in the particular problem considered. Moreover, it also uses distan...

This paper develops a new operator called the generalized ordered weighted power utility averaging (GOWPUA) operator, which first introduces the risk attitude of decision makers (DMs) in the aggregation process. We study its properties and families. To determine the GOWPUA operator weights, we put forward an orness measure of the GOWPUA operator and analyze its properties. Considering that diff...

We study different approaches for decision making with linguistic information. We describe some basic linguistic aggregation operators. We then analyze the problem of linguistic decision making with Dempster-Shafer (D-S) belief structure. We suggest the use of different types of linguistic aggregation operators in the D-S framework such as the linguistic ordered weighted averaging (LOWA) operat...

We develop a new model for fuzzy decision making based on the use of several sources of information in the analysis. We introduce the fuzzy unified aggregation operator (FUAO). It is an aggregation operator that unifies other aggregation operators in the same formulation and considering the degree of importance of each concept in the analysis. Moreover, it also deals with uncertain environments...

The paper proposes a general optimization model with separable strictly convex objective function to obtain the consistent OWA (ordered weighted averaging) operator family. The consistency means that the aggregation value of the operator monotonically changes with the given orness level. Some properties of the problem are discussed with its analytical solution. The model includes the two most c...

Aggregation operators model various operations on fuzzy sets, such as conjunction, disjunction and averaging. Recently double aggregation operators have been introduced; they model multistep aggregation process. The choice of aggregation operators depends on the particular problem, and can be done by fitting the operator to empirical data. We examine fitting general aggregation operators by usi...

In this paper, we study the multiple attribute group decision making (MAGDM) problems, in which the information about the attribute weights and the expert weights are interval numbers, and the attribute values take the form of uncertain linguistic information. We introduce some operational laws of uncertain linguistic variables and a formula for comparing two uncertain linguistic variables, and...

This paper presents a critical analysis of conventional operations on intuitionistic fuzzy values (IFVs), and some limitations of the conventional aggregation operator on IFVs are analyzed in detail. In order to overcome these limitations, according to new operation laws on IFVs based on Achimedean t-norm and t-conorm, we propose a new quasi-intuitionistic fuzzy OWA (QIFOWA) operator. Some corr...

In this paper, we firstly propose some generalized prioritized aggregation operators to aggregate the intuitionistic fuzzy values (IFVs), such as the generalized intuitionistic fuzzy prioritized weighted geometric (GIFPWG) operator and the generalized intuitionistic fuzzy prioritized weighted average (GIFPWA) operator. It is shown that some existing intuitionistic fuzzy aggregation operators ar...