Browsing by Subject "Aggregation function"
Now showing items 1-15 of 15
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Affine construction methodology of aggregation functions
Aggregation functions have attracted much attention in recent times because of its potential use in many areas such us data fusion and decision making. In practice, most of the aggregation functions that scientists use in ... -
Consensus image method for unknown noise removal
Noise removal has been, and it is nowadays, an important task in computer vision. Usually, it is a previous task preceding other tasks, as segmentation or reconstruction. However, for most existing denoising algorithms the ... -
d-Choquet integrals: Choquet integrals based on dissimilarities
The paper introduces a new class of functions from [0,1]n to [0,n] called d-Choquet integrals. These functions are a generalization of the 'standard' Choquet integral obtained by replacing the difference in the definition ... -
Description and properties of curve-based monotone functions
Curve-based monotonicity is one of the lately introduced relaxations of monotonicity. As directional monotonicity regards monotonicity along fixed rays, which are given by real vectors, curve-based monotonicity studies the ... -
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ... -
Dissimilarity based choquet integrals
In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For ... -
A generalization of the Choquet integral defined in terms of the Mobius transform
In this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral ... -
Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting
In this paper, the problem of measuring the degree of subsethood in the interval-valued fuzzy setting is addressed. Taking into account the widths of the intervals, two types of interval subsethood measures are proposed. ... -
Mixture functions and their monotonicity
We consider mixture functions, which are a type of weighted averages for which the corresponding weights are calculated by means of appropriate continuous functions of their inputs. In general, these mixture function need ... -
Moderate deviation and restricted equivalence functions for measuring similarity between data
In this work we study the relation between moderate deviation functions, restricted dissimilarity functions and restricted equivalence functions. We use moderate deviation functions in order to measure the similarity or ... -
Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
Existing extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a ... -
Some preference involved aggregation models for basic uncertain information using uncertainty transformation
In decision making, very often the data collected are with different extents of uncertainty. The recently introduced concept, Basic Uncertain Information (BUI), serves as one ideal information representation to well model ... -
Some properties of implications via aggregation functions and overlap functions
In this work, using the identification between implication operators and aggregation functions, we study the implication operators that are recovered from overlap functions. In particular, we focus in which properties ... -
T-overlap functions: a generalization of bivariate overlap functions by t-norms
This paper introduces a generalization of overlap functions by extending one of the boundary conditions of its definition. More specifically, instead of requiring that 'the considered function is equal to zero if and only ... -
Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data
In the theory of aggregation, there is a trend towards the relaxation of the axiom of monotonicity and also towards the extension of the definition to other domains besides real numbers. In this work, we join both approaches ...