On the existence of states on mtl-algebras

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August undefined, 2024

Web29 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 … 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 …

States on pseudo EQ-algebras SpringerLink

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). 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 … poor work ethics in the workplace

The existence of states on EQ-algebras - De Gruyter

Web@article{Liu2013OnTE, title={On the existence of states on MTL-algebras}, author={Lianzhen Liu}, journal={Inf. Sci.}, year={2013}, volume={220}, pages={559-567} } … Web25 de jun. de 2024 · 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 … 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 … sharepoint 2013 site read only

States on finite linearly ordered IMTL-algebras - Semantic Scholar

On the existence of states on MTL-algebras

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. 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 … sharepoint 2013 sql version supportedWebical 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, … sharepoint 2013 search usage reports

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

On the existence of states on mtl-algebras

The generalized Bosbach states on EQ-algebras Journal of …

Web13 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 … 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

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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 … 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 2024 · The main goal of this paper is to investigate pseudo EQ-algebras with internal states. To begin with, we introduce the notion of pseudo EQ-algebras with internal state (simplify, ISPEQ-algebra) and study its properties. Moreover, we discuss the relation between ISPEQ-algebras and states on pseudo EQ-algebras. 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 …

Web, On the existence of states on MTL-algebras, Inf. Sci. 220 (2013) 559 – 567. Google Scholar [15] Mundici D. , Averaging the truth value in Lukasiewicz sentential logic , Stud. Log. 55 ( 1995 ) 113 – 127 . 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 …

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 …

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 poor working condition is an example ofWeb1 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 … poor working conditions 1800Web1 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 … sharepoint 2013 site collection templatesWeb13 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). sharepoint 2013 ssl configurationWeb3 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 … sharepoint 2013 supported buildWebIn 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 … sharepoint 2013 service accountsWebRepresentations 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 … sharepoint 2013 site usage reports