Abstract
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 \({\overline{\triangle }}\)-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.
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All authors, Arif Gursoy, Necla Kircali Gursoy, Tahsin Oner and Ibrahim Senturk, wrote the paper jointly and contributed equally to this work. All authors read and approved the final manuscript.
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Author Arif Gursoy declares that he has no conflict of interest. Author Necla Kircali Gursoy declares that she has no conflict of interest. Author Tahsin Oner declares that he has no conflict of interest. Author Ibrahim Senturk declares that he has no conflict of interest.
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Gursoy, A., Kircali Gursoy, N., Oner, T. et al. An alternative construction of graphs by associating with algorithmic approach on MV-algebras. Soft Comput 25, 13201–13212 (2021). https://doi.org/10.1007/s00500-021-06162-w
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DOI: https://doi.org/10.1007/s00500-021-06162-w