Results 1 to 10 of about 532 (86)
On some classes of state-morphism MV-algebras [PDF]
Abstract Flaminio and Montagna recently introduced state MV-algebras as MV-algebras with an internal notion of a state. The present authors gave a stronger version of state MV-algebras, called state-morphism MV-algebras. We present some classes of state-morphism MV-algebras like local, simple, semisimple state-morphism MV-algebras, and ...
DI NOLA, Antonio, A. Dvurečenskij
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On Another Type of Convergence for Intuitionistic Fuzzy Observables
The convergence theorems play an important role in the theory of probability and statistics and in its application. In recent times, we studied three types of convergence of intuitionistic fuzzy observables, i.e., convergence in distribution, convergence
Katarína Čunderlíková
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Turing machines based on unsharp quantum logic [PDF]
In this paper, we consider Turing machines based on unsharp quantum logic. For a lattice-ordered quantum multiple-valued (MV) algebra E, we introduce E-valued non-deterministic Turing machines (ENTMs) and E-valued deterministic Turing machines (EDTMs ...
Yun Shang, Xian Lu, Ruqian Lu
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Martingale Convergence Theorem for the Conditional Intuitionistic Fuzzy Probability
For the first time, the concept of conditional probability on intuitionistic fuzzy sets was introduced by K. Lendelová. She defined the conditional intuitionistic fuzzy probability using a separating intuitionistic fuzzy probability.
Katarína Čunderlíková
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In this paper, by considering the notion of MV-modules, which is the structure that naturally correspond to lu-modules over lu-rings, we investigate some properties of a new kind of MV-modules, that we introduced in Borzooei and Saidi Goraghani, Free MV ...
S. Saidi Goraghani +3 more
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The two-sorted algebraic theory of states, and the universal states of MV-algebras [PDF]
We introduce a two-sorted algebraic theory whose models are states of MV-algebras and, to within a categorical equivalence that extends Mundici's well-known one, states of Abelian lattice-groups with (strong order) unit. We discuss free states, and their relation to the universal state of an~MV-algebra.
Kroupa T., Marra V.
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State-Homomorphisms on MV-Algebras [PDF]
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The σ-complete MV-algebras which have enough states [PDF]
The authors characterize Łukasiewicz tribes, special sets of fuzzy sets forming \(\sigma\)-complete MV-algebras closed under pointwise limits of monotone functions. To have this characterization, they generalize the concept of McNaughton functions to \(\sigma\)-McNaughton functions as the closure of McNaughton functions under countable MV-algebraic ...
DI NOLA, Antonio, NAVARA M.
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We present a complete characterization of subdirectly irreducible MV-algebras with internal states (SMV-algebras). This allows us to classify subdirectly irreducible state morphism MV-algebras (SMMV-algebras) and describe single generators of the variety of SMMV-algebras, and show that we have a continuum of varieties of SMMV-algebras.
Dvurecenskij A. +2 more
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DI NOLA, Antonio, DVURECENSKIJ A.
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