On the existence of states on mtl-algebras
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 … 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 the existence of states on mtl-algebras
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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 … Webstudied 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
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} } … 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 …
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 … 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 …
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 …
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 … how to serve taylor pork rollWebIn 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 ... how to serve sweet cheese pierogiWebin 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 serve subpoena on venmoWebSemantic 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. how to serve spaetzleWeb1 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. how to serve tea sandwichesWebRepresentations 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 … how to serve summer sausageWeb20 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 … how to serve sushi