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Rough Approximation Operators on a Complete Orthomodular Lattice
Axioms, 2021 This paper studies rough approximation via join and meet on a complete orthomodular lattice. Different from Boolean algebra, the distributive law of join over meet does not hold in orthomodular lattices. Some properties of rough approximation rely on the
Songsong Dai
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Internal Neighbourhood Structures II: Closure and closed morphisms [PDF]
Categories and General Algebraic Structures with Applications, 2023 Internal preneighbourhood spaces inside any finitely complete category with finite coproducts and proper factorisation structure were first introduced in \cite{2020}.
Partha Pratim Ghosh
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Set-Valued T-Translative Functions and Their Applications in Finance
Mathematics, 2021 A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
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On L-fuzzy ideals of multilattices [PDF]
Journal of Hyperstructures, 2023 For a given multilattice M, the set ℑM of all ideals of M is a complete lattice and for a given complete lattice L, the set FI(M;L) of all L-fuzzy ideals ofMis also a complete lattice.
Daquin Cdric Awouafack +2 more
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On complete congruence lattices of complete lattices [PDF]
Transactions of the American Mathematical Society, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In this paper, we characterize this lattice as a complete lattice. In other words, for a complete lattice L L
Grätzer, G., Lakser, H.
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ON COMPLETE CONGRUENCE LATTICES OF COMPLETE MODULAR LATTICES [PDF]
International Journal of Algebra and Computation, 1991 The lattice of all complete congruence relations of a complete lattice is itself a complete lattice. In 1988, the second author announced the converse: every complete lattice L can be represented as the lattice of complete congruence relations of some complete lattice K.
Ralph Freese +2 more
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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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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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Equalizers and Coequalizers in the Category of Topological Molecular Lattices [PDF]
Journal of Mahani Mathematical Research, 2023 A completely distributive complete lattice is called a molecular lattice. It is well known that the category TML of all topological molecular lattices with generalized order homomorphisms in the sense of Wang, is both complete and cocomplete.
Ghasem Mirhosseinkhani, Narges Nazari
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Completely representable lattices [PDF]
Algebra universalis, 2012 It is known that a lattice is representable as a ring of sets iff the lattice is distributive. CRL is the class of bounded distributive lattices (DLs) which have representations preserving arbitrary joins and meets. jCRL is the class of DLs which have representations preserving arbitrary joins, mCRL is the class of DLs which have representations ...
Egrot, R, Hirsch, R
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