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A framework for generalized monotonicity of fusion functions
(Elsevier, 2023)
Artículo / Artikulua,
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of ...
Some preference involved aggregation models for basic uncertain information using uncertainty transformation
(IOS Press, 2020)
Artículo / Artikulua,
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 ...
A generalization of the Choquet integral defined in terms of the Mobius transform
(IEEE, 2020)
info:eu-repo/semantics/article,
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 ...
Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
(Wiley, 2019)
info:eu-repo/semantics/article,
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 ...
Interval subsethood measures with respect to uncertainty for the interval-valued fuzzy setting
(Atlantis Press, 2020)
info:eu-repo/semantics/article,
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. ...
A new family of aggregation functions for intervals
(Springer, 2024)
Artículo / Artikulua,
Aggregation operators are unvaluable tools when different pieces of information have to be taken into account with respect to the same object. They allow to obtain a unique outcome when different evaluations are available ...
Mixture functions and their monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
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 ...
Weak and directional monotonicity of functions on Riesz spaces to fuse uncertain data
(Elsevier B.V., 2019)
info:eu-repo/semantics/article,
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 ...
Moderate deviation and restricted equivalence functions for measuring similarity between data
(Elsevier, 2019)
info:eu-repo/semantics/article,
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 ...
d-Choquet integrals: Choquet integrals based on dissimilarities
(Elsevier, 2020)
info:eu-repo/semantics/article,
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 ...