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Free MV-Modules

Journal of Intelligent & Fuzzy Systems, 2016
In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond tolu-modules over lu-rings, we present the definitions of finitely generated and free MV-modules. Also, we define the notions of Ak-module and free Ak-module, where A is a PMV-algebra and k ∈ ℕ . In a special case, we obtain a general representation
Rajab Ali Borzooei   +1 more
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The impact of standardisation in MV switchgear for HV/MV and MV/MV substations

Fifth International Conference on Trends in Distribution Switchgear: 400V-145kV for Utilities and Private Networks, 1998
This paper describes how one switchgear manufacturer met the challenges of switchgear product standardisation by developing a new range of fixed MV circuit breakers based on a catalogue of standard functions. The advantages and disadvantages of using standard 'off the shelf' switchgear panels for primary and large MV consumer substations are also ...
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The Existence of LHMTS(mv) and LHDTS(mv)

Acta Mathematica Sinica, English Series, 2018
In this article, we establish the existence of an LHMTS(mv) for v ≡ 2 (mod 6) and m ≡ 3 (mod 6). Thus there exists an LHMTS(mv) if and only if v(v − 1)m2 ≡ 0 (mod 3) except possibly for v = 6, m ≡ 1,5 (mod 6) and m ≠ 1. In the similar way, the existence of LHDTS(mv) is completely determined, i.e., there exists an LHDTS(mv) if and only if v(v − 1)m2 ≡ 0
Xiang Qian Li, Ru Hong Hu, Zi Hong Tian
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Symmetric MV-Algebras

2007
The authors introduce the class of Symmetric MV-algebras. Such algebras have a suitable behavior with respect to a family of MV-polynomials. It turns out that the class of Symmetric MV-algebras can be characterized as the class of MV-algebras having homomorphic image in the variety generated by a single MV-chain with p+1 elements, where p=1 or p is a ...
DI NOLA, Antonio, BELLUCE P, LETTIERI A.
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MV-Partitions and MV-Powers

2014
In this chapter, the authors generalize the Boolean partition to semisimple MV-algebras. MV-partitions together with a notion of refinement is tantamount a construction of an MV-power, analogous to Boolean power construction (Mansfield, 1971). Using this new notion we introduce the corresponding theory of MV-powers.
C. Drossos, P. L. Theodoropoulos
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COMPOSITION ON MV-ALGEBRAS

Journal of Algebra and Its Applications, 2006
In this paper we introduce an extension of MV-algebras obtained by adding a binary operation and a constant, with the aim of modelling composition of functions. The variety of Composition MV-algebra (CMV-algebra, for short) is defined and some results regarding ideals and congruences are stated.
DI NOLA, Antonio, FLONDOR P, GERLA B.
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Hyper MV ‐ideals in hyper MV ‐algebras

Mathematical Logic Quarterly, 2010
AbstractIn this paper we define the hyper operations ⊗, ∨ and ∧ on a hyper MV ‐algebra and we obtain some related results. After that by considering the notions ofhyper MV ‐ideals and weak hyper MV ‐ideals, we prove some theorems. Then we determine relationships between (weak) hyper MV ‐ideals in a hyper MV ‐algebra (M, ⊕, *, 0) and (weak) hyper K ...
Lida Torkzadeh, Afsaneh Ahadpanah
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The Writing of the MV-algebras

Studia Logica, 1998
Chang invented MV-algebras to give a neat, algebraic proof of the completeness of the Łukasiewicz axioms, after the syntactic proof of \textit{A. Rose} and \textit{J. B. Rosser} [Trans. Am. Math. Soc. 87, 1-53 (1958; Zbl 0085.24303)]. His completeness theorem shows that an equation holds for all MV-algebras iff it holds for the single MV-algebra given ...
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Impact of MV Connected Microgrids on MV Distribution Planning

IEEE Transactions on Smart Grid, 2012
The planning and development of distribution networks with a substantial penetration of microgrids connected to the medium voltage (MV) network form the main themes of this paper. The impact of microgrids is assessed in terms of their effect on optimal network topology, losses, reliability, reserve connections, network upgrade and expansion savings ...
Millar, Robert J.   +4 more
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Ideals in MV-pairs

Soft Computing, 2008
The authors describe the concept of MV-algebra, introduced by Chang (1959) as an algebraic basis for many-valued logic, and extend the results giving by Jenca. In this paper, the authors study the relations between congruences of a Boolean algebra \(B\) and congruences \(B/{ \sim _G}\) induced by a \(G\)-invariant ideal \(I\) of \(B\).
Sylvia Pulmannová, Elena Vinceková
openaire   +6 more sources

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