Algebraic study to generalized Bosbach states on residuated lattices
type: Item
instance of: scholarly article
title: Algebraic study to generalized Bosbach states on residuated lattices
zbMATH Open document ID: 1382.03086
author: Zhen Ming Ma
author: Zunwei Fu
published in: Soft Computing
publication date: 2017-04-12T00:00:00Z
Mathematics Subject Classification ID: 03G25
Mathematics Subject Classification ID: 06D35
zbMATH DE Number: 6705034
zbMATH Keywords: non-classical logics
zbMATH Keywords: residuated lattice
zbMATH Keywords: generalized Bosbach state
MaRDI profile type: Publication
full work available at URL: s00500-015-1671-z
OpenAlex ID: W2034040109
cites work: Cancellative residuated lattices
cites work: State BCK-algebras and state-morphism BCK-algebras.
cites work: Fuzzy equational logic
cites work: States on commutative basic algebras
cites work: State-morphism algebras -- general approach.
cites work: States on Hilbert algebras
cites work: Q3620498
cites work: Q3605344
cites work: State BL-algebras
cites work: Generalized Bosbach states. I
cites work: Generalized Bosbach states. II
cites work: Non-commutative Multiple-Valued Logic Algebras
cites work: Algebraic foundations of many-valued reasoning
cites work: On varieties of MV-algebras with internal states
cites work: State-morphism MV-algebras
cites work: Probabilistic averaging in bounded \(R\ell\)-monoids
cites work: Q3421448
cites work: Bounded commutative residuated \(\ell\)-monoids with general comparability and states
cites work: States on pseudo MV-algebras
cites work: Erratum to: ``State operators on generalizations of fuzzy structures''
cites work: Every linear pseudo BL-algebra admits a state
cites work: States on quantum structures versus integrals
cites work: Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
cites work: MV-algebras with internal states and probabilistic fuzzy logics
cites work: Bosbach states on fuzzy structures
cites work: Metamathematics of fuzzy logic
cites work: Effect algebras with state operator
cites work: Every state on semisimple MV-algebra is integral
cites work: Representation and extension of states on MV-algebras
cites work: States on \(R_{0}\) algebras
cites work: States on finite monoidal t-norm based algebras
cites work: Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices
cites work: Two types of MTL-L-filters in residuated lattices
cites work: Averaging the truth-value in Łukasiewicz logic
cites work: States on semi-divisible generalized residuated lattices reduce to states on MV-algebras
cites work: State operators on GMV algebras
cites work: States on semi-divisible residuated lattices
cites work: Generalized Bosbach and Riečan states based on relative negations in residuated lattices
cites work: Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices
DOI: 10.1007/S00500-015-1671-Z
Recommended article: Q3620498
Recommended article: New types of generalized Bosbach states on non-commutative residuated lattices
Recommended article: Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices
Recommended article: Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices
Recommended article: Generalized Bosbach and Riečan states based on relative negations in residuated lattices
Recommended article: On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices
Recommended article: Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices
Recommended article: The resolvent algebra of non-relativistic Bose fields: observables, dynamics and states
Recommended article: C * -algebraic approach to the Bose-Hubbard model
Recommended article: Generalized boson algebra and its entangled bipartite coherent states
description: scientific article; zbMATH DE number 6705034