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The law of O-conditionality for fuzzy implications constructed from overlap and grouping functions
(Elsevier, 2019)
info:eu-repo/semantics/article,
Overlap and grouping functions are special kinds of non necessarily associative aggregation operators proposed for many applications, mainly when the associativity property is not strongly required. The classes of overlap ...
Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent ...
Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
(Springer, 2018)
info:eu-repo/semantics/conferenceObject,
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss ...
The interval-valued Choquet integral based on admissible permutations
(IEEE, 2018)
info:eu-repo/semantics/article,
Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been ...
OWA operators based on admissible permutations
(IEEE, 2019)
info:eu-repo/semantics/conferenceObject,
In this work we propose a new OWA operator defined on bounded convex posets of a vector-lattice. In order to overcome the non-existence of a total order, which is necessary to obtain a non-decreasing arrangement of the ...
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 ...
Orness for real m-dimensional interval-valued OWA operators and its application to determine a good partition
(Taylor & Francis, 2019)
info:eu-repo/semantics/article,
Ordered Weighted Averaging (OWA) operators are a profusely applied class of averaging aggregation functions, i.e. operators that always yield a value between the minimum and the maximum of the inputs. The orness measure ...
Hyperspectral imaging using notions from type-2 fuzzy sets
(Springer, 2019)
info:eu-repo/semantics/article,
Fuzzy set theory has developed a prolific armamentarium of mathematical tools for each of the topics that has fallen within its scope. One of such topics is data comparison, for which a range of operators has been presented ...
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
(IEEE, 2019)
info:eu-repo/semantics/conferenceObject,
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 ...
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 ...