The adjacency relation of a simple undirected graph is a preclusive (irreflexive and symmetric) relation. Hence, it originates a preclusive space enabling us to define the lower and upper preclusive approximations of graphs and two orthogonality graphs. Further, the possibility of defining the similarity lower and upper approximations and the sufficiency operator on graphs will be investigated, with particular attention to complete and bipartite graphs. All these mappings will be put in relation with Formal Concept Analysis and the theory of opposition.

Chiaselotti, G., Ciucci, D., Gentile, T., Infusino, F. (2015). Preclusivity and simple graphs. In ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, RSFDGRC 2015 (pp.127-137). Springer Verlag [10.1007/978-3-319-25783-9_12].

### Preclusivity and simple graphs

#### Abstract

The adjacency relation of a simple undirected graph is a preclusive (irreflexive and symmetric) relation. Hence, it originates a preclusive space enabling us to define the lower and upper preclusive approximations of graphs and two orthogonality graphs. Further, the possibility of defining the similarity lower and upper approximations and the sufficiency operator on graphs will be investigated, with particular attention to complete and bipartite graphs. All these mappings will be put in relation with Formal Concept Analysis and the theory of opposition.
##### Scheda breve Scheda completa Scheda completa (DC)
paper
Undirected graphs; Preclusivity relation; Sufficiency operator; Formal concept analysis; Theory of opposition
English
International Conference Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing (RSFDGrC 2015) NOV 20-23
2015
Yao, Y; Hu, Q; Yu, H; GrzymalaBusse, JW
ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, RSFDGRC 2015
9783319257822
2015
9437
127
137
none
Chiaselotti, G., Ciucci, D., Gentile, T., Infusino, F. (2015). Preclusivity and simple graphs. In ROUGH SETS, FUZZY SETS, DATA MINING, AND GRANULAR COMPUTING, RSFDGRC 2015 (pp.127-137). Springer Verlag [10.1007/978-3-319-25783-9_12].
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Utilizza questo identificativo per citare o creare un link a questo documento: `https://hdl.handle.net/10281/95268`
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