On the existence of states on mtl-algebras

Author: rojg

August undefined, 2024

WebSemantic Scholar extracted view of "States on finite monoidal t-norm based algebras" by Liu Lianzhen. Skip to search form Skip to main content Skip to account menu. Semantic Scholar's Logo. Search 205,245,948 papers from all fields of science. Search. Sign In Create Free Account. 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 …

States and Measures on Hyper BCK-Algebras - Semantic Scholar

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 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 ... citizen mortgage online payment

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

Web23 de mai. de 2024 · Fuzzy Syst. 26 (2014), 2087–2097], we introduce the notions of fantastic filters and investigate the existence of Bosbach states and Riečan states on … 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 … WebThe aim of this paper is to investigate the existence of Bosbach states and Riecan states on MTL-algebras. We prove that an MTL-algebra L has Bosbach states if and only if L … citizen movie song lyrics

Existence of states on fuzzy structures - Vanderbilt University

State operators on pseudo EQ-algebras Journal of Intelligent

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 … Web14 de out. de 2024 · All states have an equal number of MLAs. (true or false ) - 25678792. prakrutipradhan prakrutipradhan 14.10.2024 Social Sciences Primary School answered … citizen mortgage ratesWebparticular 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 dichtheid balsahout

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

On the existence of states on mtl-algebras

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. 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

Did you know?

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. 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 …

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 … 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 …

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 ... 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 …

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, …

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 … dich thai vietWeb19 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 … dichtheid ammoniakWeb13 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). citizenm paris gare de lyon hotelWeb1 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. dich thauWebAbstract. 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). dichtheid acetonWebThe 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 … citizenm rooftopWeb1 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 … citizenm prefab hotel bowery