On the existence of states on mtl-algebras

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August undefined, 2024

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 … WebIn 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 …

The lattices of 𝔏-fuzzy state filters in state residuated lattices

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 jan. de 2024 · [21] Kondo M., States on bounded commutative residuated lattices, Mathematica Slovaca 64 (2014), 1093 – 1104. Google Scholar Cross Ref [22] Liu L., On the existence of states on MTL-algebras, Information Sciences 220 (2013), 559 – 567. Google Scholar Digital Library [23] Liu L. and Zhang X., States on R0-algebras, Soft … northampton growers

On the existence of states on MTL-algebras Information Sciences: …

WebIt is proved that Bosbach states, Riečan states and state-morphisms are equivalent on linearly ordered IMTL-algebras and that if L is locally finite, then L has a state if and only if H(L) is an MV-algebra. The aim of this paper is to study states on finite linearly ordered IMTL-algebras. We prove that Bosbach states, Riečan states and state-morphisms are … Web1 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 … WebR0-algebras [36], MTL-algebras [18], hoops [19] and residuated lattices [35], etc. ... method to check the existence of states on Glivenko semihoops. 123. 1148 P.Heetal. This paper is organized as follows: In Sect. 2, we review some results about semi … northampton grocery stores

States on finite linearly ordered IMTL-algebras Request PDF

The existence of states on EQ-algebras - De Gruyter

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 … Webical algebras have been proposed as the semantical systems of non-classical logic systems, for example, MV-algebras (Chang 1958), BL-algebras (Hájek 1998), MTL-algebras (Esteva and Godo 2001), R0-algebras (Wang 2000), hoops (Esteva et al. 2003) and residuated lattices (Ward and Dil-worth 1939). Among various logical algebras, … how to repair scratches in formicaWebin 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 how to repair scratches in auto glass

"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 … " - On the existence of states on mtl-algebras

On the existence of states on mtl-algebras

States on hyper equality algebras - Uniud

WebThis study analyzes whether Bitcoin, gold, oil, and stock have the ability to hedge against inflation in high cryptocurrency adoption countries in the periods from January 2010 to March 2024. It is hypothesized that the assets behave differently and thereby respond differently to inflation in different market conditions. Therefore, we employ the Markov … Web3 de out. de 2024 · In this paper, we mainly introduce the concepts of states on pseudo EQ-algebras and investigate their properties and existence as well as their relationships. Firstly, we define some notions and investigate their properties, which will be used in the following sections. Then, we define the concepts of Bosbach states and state …

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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 … WebRepresentations of abstract effect algebras was introduced in the literature [Sci.Sin.Math.,2011,41 (3):279-286],some examples of representable effect algebras and unrepresentable effect algebras were given there.However,a general criterion about the representations of effect algebras was not obtained.Based on the idea of the GNS …

WebIn the paper, we introduce 𝔏-fuzzy state filters in state residuated lattices and investigate their related properties, where 𝔏 is a complete Heyting algebra. Moreover, we study the 𝔏-fuzzy state co-annihilator of an 𝔏-fuzzy set with respect to an 𝔏-fuzzy state filter. Finally, using the 𝔏-fuzzy state co-annihilator, we investigate lattice structures of the set of some types ... 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 …

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 an MV-filter. We also establish that L has a state-morphism if and only if L has a maximal MV-filter. Furthermore, we obtain the necessary and sufficient condition for an MTL … Web19 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

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 …

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 … northampton group incWeb19 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 … how to repair scratches in leather furnitureWeb29 de mar. de 2008 · The key result in the paper concerns two transformations, Phi(rho, psi) and B_t(psi) on states on the algebra of non-commutative polynomials, or equivalently … northampton guardiansWeb19 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. northampton grosvenor centreWeb13 de mar. de 2014 · We define the notions of Bosbach states and inf-Bosbach states on a bounded hyper BCK-algebra and derive some basic properties of them. We construct a … northampton gum clinicWebIn 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 … northampton guide shopWebstudied the existence of Bosbach states and Rieˇcan states on MTL-algebra in [12]. Some examples showed that there exist MTL-algebras having no Bosbach states and Rieˇcan states. Ciungu [6] extended the notions of states to the case of pseudo-BCK algebras, and proved that, in any good pseudo-BCK algebra with northampton greenfield cooperative bank