Results 11 to 20 of about 2,017 (178)
Derivations of MV-Algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We introduce the notion of derivation for an MV-algebra and discuss some related properties. Using the notion of an isotone derivation, we give some characterizations of a derivation of an MV-algebra.
N. O. Alshehri
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Inverse topology in MV-algebras [PDF]
Mathematica Bohemica, 2019 We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra $A$ and show that the set of all minimal prime ideals of $A$, namely ${\rm Min}(A)$, with the inverse topology is a compact space, Hausdorff, $T_0$-space and $T_1 ...
Fereshteh Forouzesh +2 more
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An efficient deep learning model for brain tumour detection with privacy preservation
CAAI Transactions on Intelligence Technology, EarlyView., 2023 Abstract Internet of medical things (IoMT) is becoming more prevalent in healthcare applications as a result of current AI advancements, helping to improve our quality of life and ensure a sustainable health system. IoMT systems with cutting‐edge scientific capabilities are capable of detecting, transmitting, learning and reasoning.
Mujeeb Ur Rehman +8 more
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Pure Ideals in Residuated Lattices [PDF]
Transactions on Fuzzy Sets and Systems, 2022 Ideals in MV algebras are, by definition, kernels of homomorphism. An ideal is the dual of a filter in some special logical algebras but not in non-regular residuated lattices.
Istrata Mihaela
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Priestley duality for MV-algebras and beyond [PDF]
, 2020 We provide a new perspective on extended Priestley duality for a large class of distributive lattices equipped with binary double quasioperators. Under this approach, non-lattice binary operations are each presented as a pair of partial binary operations
Fussner, Wesley +3 more
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f-DERIVATIONS AND (f; g)-DERIVATIONS OF MV -ALGEBRAS [PDF]
Journal of Algebraic Systems, 2013 Recently, the algebraic theory of MV -algebras is intensively studied. In this paper, we extend the concept of derivation of $MV$-algebras and we give someillustrative examples.
L. Kamali Ardakani, Bijan Davvaz
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Fuzzy n-fold obstinate ideals in mv -algebras [PDF]
Journal of Hyperstructures, 2019 . In this paper, we introduce the notion of n-fold Boolean ideals of an MV -algebra and consider the quotient algebras induced by n-fold Boolean ideals. Also we prove that I is a n-fold Boolean ideal of an MV -algebra if and only if A/I is a n+1-bounded ...
Fereshteh Forouzesh
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Boolean Products of MV-Algebras: Hypernormal MV-Algebras
Journal of Mathematical Analysis and Applications, 1996 Introduced by C. C. Chang in the late fifties as the Lindenbaum algebras of the infinite-valued calculus of Lukasiewicz, MV-algebras have been attracting renewed interest in the last decade, because they form an equational class being naturally equivalent to the category of lattice-ordered abelian groups with strong unit. As a consequence, countable MV-
Cignoli, R., Torrell, A.T.
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Normalization of $MV$-algebras [PDF]
Mathematica Bohemica, 2005 Summary: We consider algebras determined by all normal identities of MV-algebras, i.e., algebras of many-valued logics. For such algebras, we present a representation based on a normalization of a sectionally involutioned lattice, i.e., a \(q\)-lattice, and another one based on a normalization of a lattice-ordered group.
Chajda, I. +3 more
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On Quantum-MV Algebras - Part I: The Orthomodular Algebras
Scientific Annals of Computer Science, 2021 We prove that almost all the properties of quantum-MV algebras are verified by orthomodular algebras, the new algebras introduced in a previous paper. We put a special insight on transitive antisymmetric orthomodular (taOM) algebras, generalizations of ...
Afrodita Iorgulescu
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