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Pasting of lattice-ordered effect algebras.
- Source :
-
Fuzzy Sets & Systems . Feb2015, Vol. 260, p77-96. 20p. - Publication Year :
- 2015
-
Abstract
- In this study, we present techniques for constructing a lattice-ordered effect algebra using a given family of MV-effect algebras. First, we introduce the Greechie diagrams of the pastings of a family of MV-effect algebras. As application of the Greechie diagrams, we provide some sufficient conditions for pasting a lattice-ordered effect algebra using a family of MV-effect algebras. Especially, we illustrate a kind of technique of how to obtain a lattice-ordered effect algebra by substituting the atoms of an orthomodular lattice with the lattice-ordered effect algebras. Finally, we prove a version of the “Loop Lemma” for MV-effect algebras pasting. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 260
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 99789971
- Full Text :
- https://doi.org/10.1016/j.fss.2014.03.015