Results 11 to 20 of about 315 (224)
On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations
Formalized Mathematics, 2023 Summary This the next article in the series formalizing the book of Baczyński and Jayaram “Fuzzy Implications”. We define the laws of contraposition connected with various fuzzy negations, and in order to make the cluster registration mechanism fully working, we construct some more non-classical examples of fuzzy implications. Finally,
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Axioms, 2023 In many real-world scenarios, the importance of different factors may vary, making commutativity an unreasonable assumption for aggregation functions, such as overlaps or groupings.
Diego García-Zamora +4 more
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A Fuzzy Take on the Logical Issues of Statistical Hypothesis Testing
Philosophies, 2021 Statistical Hypothesis Testing (SHT) is a class of inference methods whereby one makes use of empirical data to test a hypothesis and often emit a judgment about whether to reject it or not. In this paper, we focus on the logical aspect of this strategy,
Matthew Booth, Fabien Paillusson
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Mathematics, 2021 In mathematics, distance and similarity are known as dual concepts. However, the concept of similarity is interpreted as fuzzy similarity or T-equivalence relation, where T is a triangular norm (t-norm in brief), when we discuss a fuzzy environment ...
Azadeh Zahedi Khameneh +2 more
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S-Implications on Complete Lattices and the Interval Constructor
Trends in Computational and Applied Mathematics, 2008 The aim of this work is to present an approach of interval fuzzy logic based on complete lattices. In particular, we study the extensions of the notions of t-conorms, fuzzy negations and S-implication, from the unit interval to arbitrary complete ...
R.H.S. Reiser +4 more
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New Transitivity of Atanassov’s Intuitionistic Fuzzy Sets in a Decision Making Model
International Journal of Applied Mathematics and Computer Science, 2021 Atanassov’s intuitionistic fuzzy sets and especially his intuitionistic fuzzy relations are tools that make it possible to model effectively imperfect information that we meet in many real-life situations.
Pękala Barbara +2 more
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Interval-valued contractive fuzzy negations [PDF]
International Conference on Fuzzy Systems, 2010 In this work we consider the concept of contractive interval-valued fuzzy negation, as a negation such that it does not increase the length or amplitude of an interval. We relate this to the concept of Lipschitz function. In particular, we prove that the only strict (strong) contractive interval-valued fuzzy negation is the one generated from the ...
Benjamín René Callejas Bedregal +4 more
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On Fuzzy Negations Generated by Fuzzy Implications
Formalized Mathematics, 2020 Summary We continue in the Mizar system [2] the formalization of fuzzy implications according to the book of Baczyński and Jayaram “Fuzzy Implications” [1]. In this article we define fuzzy negations and show their connections with previously defined fuzzy implications [4] and [5] and triangular norms and conorms [6].
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Fuzzy logics with an additional involutive negation
Fuzzy Sets and Systems, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Petr Cintula +3 more
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