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 SM ISO690:2012KEHAYOPULU, Niovi, TSINGELIS, Michael. Left regular and intra-regular ordered semigroups in terms of fuzzy subsets. In: Quasigroups and Related Systems, 2006, vol. 14, nr. 2(16), pp. 169-178. ISSN 1561-2848. |
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| Quasigroups and Related Systems | ||||||
| Volumul 14, Numărul 2(16) / 2006 / ISSN 1561-2848 | ||||||
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In this paper we extend some results concerning ideals of left regular and intra-regular
ordered semigroups to fuzzy ordered semigroups. A theory of fuzzy sets on ordered
groupoids and ordered semigroups can be developed. Some results on ordered groupoidssemigroups have been already given by the same authors. The aim of writing this paper is to show the way we pass from the theory of ordered semigroups based on ideals or from the theory of ”e”) poe-semigroups (i.e. ordered semigroups having a greatest element based on ideal elements to the theory of ordered semigroups based on fuzzy ideals. Then we also have the way we pass from the theory of semigroups based on ideals to the theory of semigroups based on fuzzy ideals.
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