BZMV\(^{\text{dM}}\) algebras and Stonian MV-algebras (applications to fuzzy sets and rough approximations)

DOI10.1016/S0165-0114(97)00328-XzbMath0948.06008OpenAlexW1994921377MaRDI QIDQ1965297

Roberto Giuntini, Gianpiero Cattaneo, Ramani S. Pilla

Publication date: 13 March 2000

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(97)00328-x

zbMATH Keywords

fuzzy setsBoolean algebramodal operatorsrough approximationsBrouwerian orthocomplementationde Morgan BZMV-algebrasdistributive de Morgan BZ-latticesStonian MV-algebras

Mathematics Subject Classification ID

Theory of fuzzy sets, etc. (03E72) MV-algebras (06D35)

Related Items (15)

Basic intuitionistic principles in fuzzy set theories and its extensions (a terminological debate on Atanassov IFS) ⋮ On PBZ*-lattices ⋮ Effect test spaces ⋮ Derivations of MV-algebras ⋮ Algebraic models of deviant modal operators based on De Morgan and Kleene lattices ⋮ Algebraic structures related to nilpotent minimum algebras and rough sets1 ⋮ Strengthening effect algebras in a logical perspective: Heyting-Wajsberg algebras ⋮ Algebraic Methods for Orthopairs and Induced Rough Approximation Spaces ⋮ A map of dependencies among three-valued logics ⋮ Rough approximation operators on \(R_0\)-algebras (nilpotent minimum algebras) with an application in formal logic \(\mathcal{L}^\ast\) ⋮ A new view of effects in a Hilbert space ⋮ Rough 3-valued algebras ⋮ Roughness in MV-algebras ⋮ Axiomatic systems for rough sets and fuzzy rough sets ⋮ Closure operations on MV-algebras

This page was built for publication: BZMV\(^{\text{dM}}\) algebras and Stonian MV-algebras (applications to fuzzy sets and rough approximations)