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Similarity between interval-valued fuzzy sets taking into account the width of the intervals and admissible orders
(Elsevier, 2020)
info:eu-repo/semantics/article,
In this work we study a new class of similarity measures between interval-valued fuzzy sets. The novelty of our approach lays, firstly, on the fact that we develop all the notions with respect to total orders of intervals; ...
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 ...
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 ...
From fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measures
(IEEE, 2019)
info:eu-repo/semantics/article,
We examine a broad collection of axiomatic definitions from various and diverse contexts, within the domain of fuzzy sets. We evaluate their respective extensions to the case of interval-valued fuzzy sets and intuitionistic ...
Three categories of set-valued generalisations from fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets
(IEEE, 2018)
info:eu-repo/semantics/article,
Many different notions included in the fuzzy set literature can be expressed in terms of functionals defined over collections of tuples of fuzzy sets. During the last decades, different authors have independently generalised ...
A unified view of different axiomatic measures defined on L-fuzzy sets
(IEEE, 2019)
info:eu-repo/semantics/article,
The recent literature contains a multitude of extensions of (axiomatic) notions from the context of ordinary fuzzy sets to more general contexts. Using the language of lattices, we provide a general and compact formulation ...
On admissible orders over closed subintervals of [0,1]
(Elsevier, 2020)
info:eu-repo/semantics/article,
In this paper, we make some considerations about admissible orders on the set of closed subintervals of the unit interval I[0,1], i.e. linear orders that refine the product order on intervals. We propose a new way to ...