Results 11 to 20 of about 10,888 (264)
Journal of Algebra, 2001 The notion of a canonical extension of a lattice (with additional operations, respectively) is introduced. A canonical extension of a lattice \(L\) is a pair \((e,C)\), where \(C\) is a complete lattice, \(e:L\to C\) is a lattice embedding such that: i) every element \(c\in C\) can be expressed both as a join of meets and a meet of joins of elements ...
John Harding, Mai Gehrke
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Non-deterministic-M-fuzzy Lattices
Ratio Mathematica, 2023 Goran Trajakoviski and Tepavcevic´invented the L-fuzzy lattice in which a ´ bounded lattice is fuzzified using a complete lattice. Using a complete consistent distributive multilattice M, we broaden the concept of L-fuzzy lattice to Nd-M-fuzzy lattice ...
Gireesan K.K. +2 more
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Remarks on Sugeno Integrals on Bounded Lattices
Mathematics, 2022 A discrete Sugeno integral on a bounded distributive lattice L is defined as an idempotent weighted lattice polynomial. Another possibility for axiomatization of Sugeno integrals is to consider compatible aggregation functions, uniquely extending the L ...
Radomír Halaš +2 more
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Varieties of bounded K-lattices
Fuzzy Sets and Systems, 2022 In this paper we continue to study varieties of K-lattices, focusing on their bounded versions. These (bounded) commutative residuated lattices arise from a specific kind of construction: the {\em twist-product} of a lattice. Twist-products were first considered by Kalman in 1958 to deal with order involutions on plain lattices, but the extension of ...
Paolo Aglianò, Miguel Andrés Marcos
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A characterization for all interval doubling schemes of the lattice of permutations [PDF]
Discrete Mathematics & Theoretical Computer Science, 1999 The lattice S n of all permutations on a n-element set has been shown to be bounded [CAS], which is a strong constructive property characterized by the fact that S n admits what we call an interval doubling scheme.
Nathalie Caspard
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Some results on 𝒍-fuzzy soft groups under bounded sum and bounded difference operations [PDF]
Pandian Journal of Mathematical Sciences, 2023 Lattice ordered group has been developed by J.Vimala. After that J. Arockia Reeta and J. Vimala introduced Lattice ordered fuzzy soft groups(𝑙-FSG) and obtained real life applications.
Dr. J. Arockia Reeta
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Categorical Dualities for Some Two Categories of Lattices: An Extended Abstract
Bulletin of the Section of Logic, 2022 The categorical dualities presented are: (first) for the category of bi-algebraic lattices that belong to the variety generated by the smallest non-modular lattice with complete (0,1)-lattice homomorphisms as morphisms, and (second) for the category of ...
Wiesław Dziobiak, Marina Schwidefsky
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Fuzzy Initial and Final Segments in ADL’s
International Journal of Analysis and Applications, 2023 In this paper, we define the concepts of fuzzy initial and final segments in an Almost Distributive Lattice (ADL) and certain properties of these are discussed. It is proved that the set of fuzzy initial segments forms a complete lattice and that the set
G. Srikanya +3 more
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Induced operators on bounded lattices
Information Sciences, 2022 In this paper we show a methodology for designing operators on spaces of lattice-valued mappings. More precisely, from a family of operators on a bounded lattice L and mappings from a set X to itself, we may construct an operator, that we call the induced operator, on the lattice of set mappings from X to L. Furthermore, if X is also a bounded lattice,
Luis Merino +2 more
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New Journal of Physics, 2021 We investigate the general bounded corner states in a two-dimensional off-diagonal Aubry–André–Harper square lattice model supporting flat bands. We show that for certain values of the nearest-neighbor hopping amplitudes, triply degenerate zero-energy ...
Chao Chen +5 more
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