Results 11 to 20 of about 421,206 (256)
On Fuzzy Negations and Laws of Contraposition. Lattice of Fuzzy Negations [PDF]
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,
Grabowski, Adam
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On Fuzzy Negations Generated by Fuzzy Implications [PDF]
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].
Grabowski, Adam
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A Method of Generating Fuzzy Implications from n Increasing Functions and n + 1 Negations
Mathematics, 2020 In this paper, we introduce a new construction method of a fuzzy implication from n increasing functions g i : [ 0 , 1 ] → [ 0 , ∞ ) , ( g ( 0 ) = 0 ) ( i = 1 , 2 , … , n , n ∈ ℕ ) and n + 1 fuzzy negations
Maria N. Rapti, Basil K. Papadopoulos
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MathematicsThe aim of this paper is the construction and comparison of fuzzy implications derived from four different fuzzy negations, namely Zadeh, Yager, Sugeno, and Power.
Athina Daniilidou, Avrilia Konguetsof
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On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators. Part 2. [PDF]
, 2008 On intuitionistic fuzzy negations and intuitionistic fuzzy extended modal operators.
Krassimir T. Atanassov (7169534) +1 more
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Fuzzy implications based on strong negations [PDF]
Contributions to Mathematics, 2021 Anestis G. Hatzimichailidis +2 more
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Research on intuitionistic fuzzy negations [PDF]
Notes on Intuitionistic Fuzzy Sets, 2021 In the theories of intuitionistic fuzzy sets and intuitionistic fuzzy logics, there are 54 different negations. Here, we check the relationship between every two of them.
Nora Angelova, Krassimir Atanassov
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Induced triangular norms and negations on bounded lattices [PDF]
, 2021 Some relevant notions in fuzzy set theory are those of triangular norm and conorm, and negation, which provide a systematic way of defining set-theoretic operations or, from other point of view, logical connectives.
Santos Aláez, Evangelina +3 more
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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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