On the existence of states on mtl-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 … 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
On the existence of states on mtl-algebras
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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 … 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.
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 … 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 …
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. … 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).
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 …
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 … how hot should a flat top beWebIn 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 ... highfigh corporationWebThe 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 … high fifty shades freedWebR0-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 … how hot should a dab beWeb3 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 … high figh klubbenWebical 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, … high figh meaningWeb20 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 … highfiguer grips youtube