Results 11 to 20 of about 1,668 (199)
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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Journal of Hyperstructures, 2023 In this paper, we introduce the notion of hyper JK-algebras and investigate these algebras properties. Moreover, we present relationships between hyper JK-algebras and pseudo hyper BCK-algebras and hyper pseudo MV-algebras under some conditions.
Mohammad Ali Hashemi
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On ideal theory of hoops [PDF]
Mathematica Bohemica, 2020 In this paper, we define and characterize the notions of (implicative, maximal, prime) ideals in hoops. Then we investigate the relation between them and prove that every maximal implicative ideal of a $\vee$-hoop with double negation property is a prime
Mona Aaly Kologani, Rajab Ali Borzooei
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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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Pavelka-style completeness in expansions of \L ukasiewicz logic [PDF]
, 2008 An algebraic setting for the validity of Pavelka style completeness for some natural expansions of \L ukasiewicz logic by new connectives and rational constants is given.
Freytes, Hector
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Ratio Mathematica, 2021 In this paper, we introduce a new algebraic structure called extended quasi-MV algebras, which are generalizations of quasi-MV algebras. The notions of ideals, ideal congruences and filters in Equasi-MV algebras were introduced and their mutual ...
Mengmeng Liu, Hongxing Liu
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