For each single-parameter Gini social evaluation function, and by using the dual decomposition of the OWA operators, we derive two contributing factors. The …rst one, the self-dual core that can be considered as a positional measure, similar to the mean. The second one, the anti-self dual remainder,...

Since Sen’s seminal article in 1976, it is very known that every poverty measure should be sensitive to the three components of poverty: incidence, intensity and inequality. The paper concentrates on the poverty measure proposed by Kakwani. If the Kakwani index is normalized, an ordered weighted averaging...

Aggregation theory often deals with measures of central tendency of quantitative data. As sometimes a different kind of information fusion is needed, an axiomatization of spread measures was introduced recently. In this contribution we explore the properties of WDpWAM and WDpOWA operators, which are...

In this paper we introduce a class of linear orders for discrete gradual real numbers. Based on the linear orders we propose an OWA operator on the set of discrete gradual numbers and discuss some its properties. This is a first step of our intentions to introduce a class of linear orders, and consequently...

We propose a poverty measure based on a non trivial balance between the aggregated value of the income gaps of the poor and the headcount ratio of the poor in the population. The new poverty measure extends a previous proposal also based on the exponential mean but with an exclusive focus on the poor...

In a group decision making setting, we consider the potential impact an expert can have on the overall ranking by providing a biased assessment of the alternatives that differs substantially from the majority opinion. In the framework of similarity based veraging functions, we show that some alternative...

Axiomatic generalizations of OWA operators are introduces and discussed. First, OMA operators based on comonotone modularity are recalled. Then, several kinds of comonotone pseudo-additivity based OWA generalizations are characterized and exemplified. Some of already known OWA generalizations are thus...

Once introduced a definition of symmetric difference function on the unit real interval [0,1], we consider a method to construct such functions based on a triplet formed by a t-norm, a t-conorm and a strong negation. Our main goal is to characterize those triplets that define symmetric difference functions...

Z. Taká c in [16] introduced the aggregation operators on any subalgebra of M (set of all fuzzy membership degrees of the type-2 fuzzy sets, that is, the functions from [0,1] to [0,1]). Furthermore, he applied the Zadeh’s extension principle (see [24]) to obtain in [16, 17] a set of aggregation operators...

Welfare and close related issues, like poverty and ine-quality, are multidimensional as they involve not only income, but also education, health or labour. This paper aims to measure the dependence among dimensions us-ing copula-based coefficients. This approach focuses on the positions of the individuals...

Sugeno integral is one of the basic aggregation operations on a qualitative scale where only minimum and maximum, as well as order-reversing maps are allowed. Recently some variants of this aggregation operation, named soft and drastic integrals, have been introduced in a previous work by three of the...

Fuzzy Sets theory has been applied in many fields to handle uncertainty, which can be reflected on the membership degree of the objects belonging to a set. Moreover, Hesitant Fuzzy Sets are useful whenever there is indecision among several possible values for the preferences over objects in the process...

In this paper, we introduce and analyze a class of fuzzy poverty measures based on exponential means. Since poverty is a vague notion, individuals should not be classified in poor or non-poor. In our proposal, we have associated a degree of poverty to each income through a fuzzy membership function....

The evaluation of the health status of a population is a key question in Health Policy. The measurement of the health status is a relevant process to keep and improve the countries’ level of economic development. In spite of this relevance, the current evaluation methodologies are not sufficiently well-defined...

In this work we deal with the problem of using OWA operators in color image reduction algorithms. For this reason, we study OWA operators defined on an arbitrary finite lattice endowed with a t-norm and a t-conorm. In the case of RGB color images, we apply OWA operators defined on a finite product lattice....

The article deals with notions of fuzzy equivalences, where transitivity is defined by the use of a fuzzy conjunction. In particular fuzzy C-equivalences and fuzzy α-C-equivalences are considered. Moreover, the problem of the preservation of their axioms by some aggregation functions is examined....

Our paper deals with constructions of upper and lower general aggregation operators, which are based in their definitions on a fuzzy equivalence relation. We study some properties of these aggregation operators which are important in the context of aggregation of fuzzy sets. In particular we consider...

In this paper, we introduce the concept of interval pseudo-homegeneous uninorms. We extend the concept of pseudo-homogeneity of specific functions for interval pseudo-homogeneous functions. It is studied two cases of interval pseudo-homogeneous uninorms, that is, interval pseudo-homogeneous tnorms and...

One of the main challenges of fuzzy community detection problems is to be able to measure the quality of a fuzzy partition. In this paper, we present an alternative way of measure the quality of a fuzzy community detection output based on n-dimensional grouping and overlapping functions that generalize...