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Copulas and fuzzy implications
International Journal of Approximate Reasoning, 2020A significant part of our knowledge is formulated in terms of imprecise (``fuzzy'') words like ``small''. A natural way to describe such knowledge is to assign, to each possible value of the corresponding quantity \(x\), the expert's degree of confidence that this value satisfies the given property (e.g., that \(x\) is small).
Mesiar, Radko, Kolesárová, Anna
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Fuzzy Implications from Fuzzy Logic Operations
2008In this first chapter of Part I, we discuss families of fuzzy implications obtained from binary operations on the unit interval [0, 1], i.e., from basic fuzzy logic connectives, viz., t-norms, t-conorms and negations. After giving the necessary background on the above connectives, we investigate three main ways of generating fuzzy implications from ...
Michał Baczyński +1 more
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Fuzzy implication in fuzzy systems control
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized extended fuzzy implications
Fuzzy Sets and Systems, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chun Yong Wang, Bao Qing Hu
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Implicative Fuzzy Associative Memories
IEEE Transactions on Fuzzy Systems, 2006Associative neural memories are models of biological phenomena that allow for the storage of pattern associations and the retrieval of the desired output pattern upon presentation of a possibly noisy or incomplete version of an input pattern. In this paper, we introduce implicative fuzzy associative memories (IFAMs), a class of associative neural ...
Peter Sussner, Marcos Eduardo Valle
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Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras
Fuzzy Sets and Systems, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fuzzy Sets and Systems, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jayaram, Balasubramaniam, Mesiar, Radko
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Jayaram, Balasubramaniam, Mesiar, Radko
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2012
The interval-valued intuitionistic fuzzy implications which are generated from interval-valued fuzzy implications and coimplications and from K-operators are introduced, extending the main properties of fuzzy implication and exploring the class of interval-valued intuitionistic S-implications.
Renata Reiser +3 more
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The interval-valued intuitionistic fuzzy implications which are generated from interval-valued fuzzy implications and coimplications and from K-operators are introduced, extending the main properties of fuzzy implication and exploring the class of interval-valued intuitionistic S-implications.
Renata Reiser +3 more
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On fuzzy implication operators
Fuzzy Sets and Systems, 1991zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Compositions of Fuzzy Implications
2013This chapter considers fuzzy implications as a special case of fuzzy relations in [0,1]. We examine compositions of fuzzy implications based on a binary operation ∗ and discuss the dependencies between algebraic properties of the operation ∗ and the induced sup − ∗ composition. Under some simple assumptions the sup − ∗ composition of fuzzy implications
Józef Drewniak, Jolanta Sobera
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