A review of the relationships between implication, negation and aggregation functions from the point of view of material implication

A Pradera, G Beliakov, H Bustince, B De Baets - Information Sciences, 2016 - Elsevier
Implication and aggregation functions play important complementary roles in the field of
fuzzy logic. Both have been intensively investigated since the early 1980s, revealing a tight …

[图书][B] Fuzzy Implications from Fuzzy Logic Operations

M Baczyński, B Jayaram, M Baczyński, B Jayaram - 2008 - Springer
In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary
operations on the unit interval [0, 1], ie, from basic fuzzy logic connectives, viz., t-norms, t …

Grouping, overlap, and generalized bientropic functions for fuzzy modeling of pairwise comparisons

H Bustince, M Pagola, R Mesiar… - … on Fuzzy Systems, 2011 - ieeexplore.ieee.org
In this paper, we propose new aggregation functions for the pairwise comparison of
alternatives in fuzzy preference modeling. More specifically, we introduce the concept of a …

A survey on fuzzy implication functions

M Mas, M Monserrat, J Torrens… - IEEE Transactions on …, 2007 - ieeexplore.ieee.org
One of the key operations in fuzzy logic and approximate reasoning is the fuzzy implication,
which is usually performed by a binary operator, called an implication function or, simply, an …

Preaggregation functions: Construction and an application

G Lucca, JA Sanz, GP Dimuro… - … on Fuzzy Systems, 2015 - ieeexplore.ieee.org
In this paper, we introduce the notion of preaggregation function. Such a function satisfies
the same boundary conditions as an aggregation function, but, instead of requiring …

On residual implications derived from overlap functions

GP Dimuro, B Bedregal - Information Sciences, 2015 - Elsevier
Overlap functions are aggregation operators specially introduced to be used in applications
involving the overlap problem and/or when the associativity property is not strongly required …

New results on overlap and grouping functions

B Bedregal, GP Dimuro, H Bustince, E Barrenechea - Information Sciences, 2013 - Elsevier
Overlap functions and grouping functions are special kinds of aggregation operators that
have been recently proposed for applications in classification problems, like, eg, imaging …

Aggregation functions for typical hesitant fuzzy elements and the action of automorphisms

B Bedregal, R Reiser, H Bustince, C Lopez-Molina… - Information …, 2014 - Elsevier
This work studies the aggregation operators on the set of all possible membership degrees
of typical hesitant fuzzy sets, which we refer to as H, as well as the action of H …

[HTML][HTML] QL-operations and QL-implication functions constructed from tuples (O, G, N) and the generation of fuzzy subsethood and entropy measures

GP Dimuro, B Bedregal, H Bustince, A Jurio… - International Journal of …, 2017 - Elsevier
Considering the important role played by overlap and grouping functions in several
applications in which associativity is not demanded, in this paper we introduce the notion of …

Software quality analysis by code clones in industrial legacy software

A Monden, D Nakae, T Kamiya, S Sato… - … IEEE Symposium on …, 2002 - ieeexplore.ieee.org
Existing research suggests that the code clone (duplicated code) is one of the factors that
degrades the design and the structure of software and lowers the software quality such as …