BOOLEAN LATTICES WITH SECTIONAL SWITCHING MAPPINGS

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dc.contributor.authorAzad, Md. Abul Kalam
dc.contributor.authorHasan, Md.Nazmul
dc.contributor.authorRahman, Md. Zaidur
dc.date.accessioned2012-11-10T07:44:12Z
dc.date.accessioned2019-05-28T09:54:51Z
dc.date.available2012-11-10T07:44:12Z
dc.date.available2019-05-28T09:54:51Z
dc.date.issued2010-07-01
dc.description.abstractConsider a Boolean lattice with a greatest element 1. An interval for (1,,L,LW43;W44;= ) []1a,LaW12; is called a section. In each Section an antitone bijection is defined. We characterize these Lattices by means of two induced binary operations providing that the resulting algebras from a variety. A mapping f, of on to itself is called a switching mapping if and for. We have If for [1a, ] []1a,()()a1f1,af==[]1xa,1a,xX00;X00;W12;()1xfaX00;X00;qpL,qp,X04;W12; the mapping on the section is determined by that of [ , [1] it is shown that the compatibility condition is satisfied . We have got conditions for antitone of switching mapping and a connections with complementation in sections is shown.
dc.identifier.otherhttp://dspace.daffodilvarsity.edu.bd:8080/handle/20.500.11948/517
dc.identifier.urihttp://hdl.handle.net/20.500.11948/517
dc.language.isoen
dc.publisherDaffodil International University
dc.sourceDIU Institutional Repository
dc.subjectAntitone, Bijections, Section, Sectional Mapping, Compatibility Condition.
dc.titleBOOLEAN LATTICES WITH SECTIONAL SWITCHING MAPPINGS
dc.typeArticle

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Vol. 05, Issue 2, July 2010