On the existence of states on mtl-algebras

Author: rntd

August undefined, 2024

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. … 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 ...

arXiv:1104.2579v1 [math.AC] 13 Apr 2011

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 … 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, … iolo system mechanic driver updater

States on finite linearly ordered IMTL-algebras - Semantic Scholar

Web18 de nov. de 2024 · We study the existence of faithful tracial states on C*-algebras as well as the stronger proerty that all quotients admit faithful tracial states. We provide a sufficient and necessary condition for when C*-algebras admit faithful tracial states in terms of the Cuntz semigroup and use this to give an equivalent formulation for all quotients to … 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. 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 … iomediaarrowhead

States and internal states on semihoops - Springer

On the existence of states on MTL-algebras Semantic Scholar

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 … 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 … iogin22towinWebExistence 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 ... iogear wireless bridge

"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

On the existence of states on mtl-algebras

CiteSeerX — EXISTENCE OF STATES ON FUZZY STRUCTURES

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 … 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 …

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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 … 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 …

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 … 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 …

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 … 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 …

Web13 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).

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 … iol newspaper todayWeb1 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 … iomartpeoplehubWebIn 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 … iomswacomWebTerritorial evolution of Montana. Tools. An enlargeable map of the United States after the Constitution of the United States was ratified on March 4, 1789. An enlargeable map of … iohannis in ucrainaWebSemantic 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. iogp member companieshttp://library.utia.cas.cz/separaty/2015/MTR/kroupa-0456237.pdf iom carsWebThe 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 … iomihyou