On the existence of states on mtl-algebras

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August undefined, 2024

Web19 de mar. de 2011 · Let L be a finite linearly ordered IMTL-algebra, we prove that if L is locally finite, then L has a state if and only if L is an MV-algebra, and that if L is peculiar … Web1 de jan. de 2005 · It generalizes the usual probability measures on Boolean algebras. Consequently, the notion of states was extended to other logical algebras, such as BL …

States on finite linearly ordered IMTL-algebras - Semantic Scholar

Web19 de mar. de 2011 · MTL-algebras, introduced by Esteva and Godo ( 2001 ), are the algebraic structures for Monoidal t-norm based logic MTL which contains all fuzzy logics induced by left-continuous t-norms and their residua. IMTL-algebras and NM-algebras are the most known classes of MTL-algebras. can i buy a house in foreclosure

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WebExistence of states on fuzzy structures - Vanderbilt University. EN. English Deutsch Français Español Português Italiano Român Nederlands Latina Dansk Svenska Norsk Magyar Bahasa Indonesia Türkçe Suomi Latvian Lithuanian česk ... http://library.utia.cas.cz/separaty/2015/MTR/kroupa-0456237.pdf Web18 de nov. de 2024 · We study the existence of faithful tracial states on C*-algebras as well as the stronger proerty that all quotients admit faithful tracial states. We provide a sufficient and necessary condition for when C*-algebras admit faithful tracial states in terms of the Cuntz semigroup and use this to give an equivalent formulation for all quotients to … fitness inspirational

On the existence of states on MTL-algebras - ScienceDirect

ArchiveforMathematicalLogic(2024)61:1145–1170 https://doi

Web1 de jan. de 2008 · This paper is devoted to discussing the existence of states and valuations of effect algebras. General forms of states and state spaces of some typical … Web25 de jun. de 2024 · We also prove that every semi-divisible residuated EQ-algebra admits Riečan states. These works generalize a series of existing results about existence of … can i buy a house in new zealandWeb20 de jan. de 2013 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … can i buy a house in hawaii

"WebThe aim of this paper is to introduce the notion of states on R 0 algebras and investigate some of their properties. We prove that every R 0 algebra possesses at least one state. Moreover, we investigate states on weak R 0 algebras and give some examples to show that, in contrast to R 0 algebras, there exist weak R 0 algebras which have no states. … " - On the existence of states on mtl-algebras

On the existence of states on mtl-algebras

WebThe aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach states if and only if L has … Web13 de fev. de 2024 · Abstract: States of MV-algebras have been the object of intensive study and attempts of generalizations. The aim of this contribution is to provide a …

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Web22 de dez. de 2024 · In this paper, we study some kinds of generalized valuations on MTL-algebras, discuss the relationship between the cokernel of generalized valuations and … WebThese works generalize a series of existing results about existence of states in several algebras, such as residuated lattices, NM-algebras, MTL-algebras, BL-algebras and so on. How to cite: ISO 690: Xin, X., Ma, Y., Fu, Y. 2024. The existence of states on EQ-algebras. In Mathematica Slovaca, vol. 70, no.3, pp. 527-546. 0139-9918.

Web1 de out. de 2011 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … Webparticular ones of state-morphism BL-algebras, state-morphism MTL-algebras, state-morphism non-associative BL-algebras, and state-morphism pseudo MV-algebras. 1. Introduction A state, as an analogue of a probability measure, is a basic notion of the theory of quantum structures, see e.g. [14]. However, for MV-algebras, the state as averaging

Web20 de jan. de 2013 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach states if and only if L has an MV-filter. We also establish that L has a state-morphism if and only … Webin Section 4. The set of all states (the state space) forms a Bauer simplex (Section 4.1). Section 4.2 is about the existence of invariant faithful states. De Finetti’s coherence criterion for many-valued events and states is discussed in Section 5: in Section 5.1 we concentrate on coherent books on free MV-algebras and

WebAbstract. States of MV-algebras have been the object of intensive study and attempts of generalizations. The aim of this contribution is to provide a preliminary investigation for states of prelinear semihoops and hyperstates of algebras in the variety generated by perfect and involutive MTL-algebras (IBP0-algebras for short).

Web4 de jul. de 2009 · The aim of this paper is to investigate the existence of Bosbach states and Riečan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach … fitness inspiration memphis tnWebIn this paper, we investigate states and internal states on bounded semihoops. First, we introduce Bosbach states and Rieăźan states on bounded semihoops. We derive that Bosbach states are Rieăźan states on bounded semihoops, while the … can i buy a house in russiaWebThese works generalize a series of existing results about existence of states in several algebras, such as residuated lattices, NM-algebras, MTL-algebras, BL-algebras and so … can i buy a house in nz on a work visaWebIn this paper we will investigate the existence of states on residuated lattices, pseudo-MTL algebras and pseudo-BL algebras. The main result of the paper consists of proving that … fitness inspired grand rapidsWeb19 de abr. de 2016 · As we know, MTL-algebras are special cases of bounded semihoops. From Theorem 3.17, we can obtain that our definition of being Glivenko actually coincides, on MTL-algebras, with the definition given in Cignoli . Theorem 3.18. Bosbach states and Rie c̆ an states coincide on a semihoop satisfying GP. Proof can i buy a house in norwayWeb1 de abr. de 2011 · The aim of this paper is to study the existences of Bosbach states and Riečan states on finite monoidal t-norm based algebras (MTL-algebras for short). We … fitness inspirations of tulsaWeb13 de fev. de 2024 · States of MV-algebras have been the object of intensive study and attempts of generalizations. The aim of this contribution is to provide a preliminary investigation for states of prelinear semihoops and hyperstates of algebras in the variety generated by perfect and involutive MTL-algebras (IBP0-algebras for short). fitness inspiration app