Fuzzy Rees congruences on semigroups
1999; Elsevier BV; Volume: 102; Issue: 2 Linguagem: Inglês
10.1016/s0165-0114(97)00156-5
ISSN1872-6801
Autores Tópico(s)Multi-Criteria Decision Making
ResumoFuzzy congruences on semigroups and groups have been introduced and studied by Samhan (1993) and Samhan and Ahsanullah (1994), among others. Here, we introduce fuzzy Rees congruences on semigroups and fuzzy Rees congruences semigroups. Using these ideas, we establish a relation between fuzzy ideals of a semigroup S and fuzzy ideals of a quotient semigroup of S. As an important result, we prove that the lattice of all fuzzy congruences on a fuzzy congruences semigroup is a distributive lattice. Moreover, we obtain that a homomorphic image of a fuzzy Rees congruences semigroup is a fuzzy Rees congruences semigroup, as well.
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