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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 ...
Convolution lattices
(Elsevier, 2018)
Artículo / Artikulua,
We propose two convolution operations on the set of functions between two bounded lattices and investigate the algebraic structure they constitute, in particular the lattice laws they satisfy. Each of these laws requires ...
Orness measurements for lattice m-dimensional interval-valued OWA operators
(Elsevier, 2018)
Artículo / Artikulua,
Ordered weighted average (OWA) operators are commonly used to aggregate
information in multiple situations, such as decision making problems or image
processing tasks.
The great variety of weights that can be chosen to ...
Some properties of implications via aggregation functions and overlap functions
(Taylor & Francis, 2014)
Artículo / Artikulua,
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 ...
Application of two different methods for extending lattice-valued restricted equivalence functions used for constructing similarity measures on L-fuzzy sets
(Elsevier, 2018)
Artículo / Artikulua,
Based on previous investigations, we have proposed two different methods
to extend lattice-valued fuzzy connectives (t-norms, t-conorms, negations
and implications) and other related operators, considering a generalized ...
Linking mathematical morphology and L-fuzzy concepts
(World Scientific, 2017)
Artículo / Artikulua,
In this paper we study the relation between L-fuzzy morphology and L-fuzzy concepts
over complete lattices. In particular, we show how the erosion and dilation operators of
the former can be understood in terms of the ...
A historical account of types of fuzzy sets and their relationships
(IEEE, 2016)
info:eu-repo/semantics/article,
In this work we review the definition and basic
properties of the different types of fuzzy sets that have appeared
up to now in the literature. We also analyze the relationships
between them and enumerate some of the ...
Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: towards a wider view on their relationship
(IEEE, 2015)
info:eu-repo/semantics/article,
In this paper, we will present a wider view on the
relationship between interval-valued fuzzy sets and interval type-
2 fuzzy sets where we will show that interval-valued fuzzy sets
are a particular case of the interval ...
Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
(IEEE, 2016)
info:eu-repo/semantics/article,
In this paper we will present two theorems for the
join and meet operations for general type-2 fuzzy sets with
arbitrary secondary memberships, which can be non-convex
and/or non-normal type-1 fuzzy sets. These results ...
Comments on "Interval type-2 fuzzy sets are generalization of interval-valued fuzzy sets: towards a wider view on their relationship" [2]
(IEEE, 2016)
info:eu-repo/semantics/other,
This letter makes some observations about “Interval
type-2 fuzzy sets are generalization of interval-valued fuzzy sets:
Towards a wide view on their relationship,” IEEE Trans. Fuzzy
Systems that further support the ...