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). 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.
States and internal states on semihoops - Springer
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. 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 … novant health new hanover nc
States and Measures on Hyper BCK-Algebras - Semantic Scholar
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 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 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 … novant health new hanover regional