Functional many-valued relations

Year, pages: 2015, 891 - 921

Many-valued binary relations are considered, taking values in a complete lattice, possibly equipped with additional operations that characterize extended-order algebras. The functionality of such relations is defined, by means of properties such as univocality and totality, from three different perspectives, namely from the view point of $α$-cuts, of composition and of powerset operators, respectively. Functional many-valued relations are generalizations of functions and special care is devoted to characterize those which are actually functions. Relationships between the involved concepts are discussed with several results and examples.

Della Stella, M., Guido, C. 2015. Functional many-valued relations. In Mathematica Slovaca, vol. 65, no.4, pp. 891-921. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0061

Della Stella, M., Guido, C. (2015). Functional many-valued relations. Mathematica Slovaca, 65(4), 891-921. 0139-9918. DOI: https://doi.org/10.1515/ms-2015-0061