On fuzzy ordered semigroups
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2021-10-05 10:27
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KEHAYOPULU, Niovi, TSINGELIS, Michael. On fuzzy ordered semigroups. In: Quasigroups and Related Systems, 2012, vol. 20, nr. 1(27), pp. 61-70. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 20, Numărul 1(27) / 2012 / ISSN 1561-2848

On fuzzy ordered semigroups

Pag. 61-70

Kehayopulu Niovi, Tsingelis Michael
 
Universitatea Kapodistria, Atena
 
 
Disponibil în IBN: 25 februarie 2014


Rezumat

There are two equivalent denitions of a fuzzy right ideal, fuzzy left ideal, fuzzy bi-ideal or fuzzy quasi-ideal f of an ordered semigroup (or a semigroup) S in the bibliography. The rst one is based on the fuzzy subset f itself, the other on the multiplication of fuzzy sets and the greatest fuzzy subset of S. Investigations in the existing bibliography are based on the rst denition. The present paper serves as an example to show that using the second denition the proofs of

Cuvinte-cheie
ordered semigroup, Regular, intra-regular, bi-ideal,

left (right) ideal