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After some preliminaries, the set of generators of a generalized equality relation (T-indistinguishability operator) is studied. This set is identified with the set of the eigenvectors of the relation. The relation between the fuzzy and “metric” topologies derived from these equalities is stablished. The concept of basis is introduced and the construction of a procedure in order to calculate explicitly a basis of a T-indistinguishability operator, for T archimedean, is proposed.
CitationJacas, J.; Recasens, J. Fuzzy t-transitive relations: eigenvectors and generators. "Fuzzy sets and systems", Febrer 1995, vol. 72, núm. 2, p. 147-154.
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