An alternative construction of graphs by associating with algorithmic approach on MV-algebras
Makaleler > Tam Makale · 2021
Yazarlar: Arif GÜRSOY, Necla KIRCALI GÜRSOY, Tahsin ÖNER, İbrahim ŞENTÜRK
SOFT COMPUTING, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2021, cilt 25, ss 13201-13212
DOI: 10.1007/s00500-021-06162-w
Özet
In this paper, we introduce an alternative construction of graphs on MV-algebras. We called them as MV-graphs whose vertices are the elements of MV-algebra and whose edges are the association of two vertices. We also define graphs of equivalence classes by constructing (Delta) over bar -connection operator and complement annihilator on MV-algebras. We prove some related results based on the algebraic properties of graphs. We handle formation of graph folding on MV-algebras. And, we prove the relation between graphs folding and equivalence classes graph of MV-algebras. Moreover, we associate all of these processes with algorithms to serve related areas that used effectively MV-algebras.