MEASURES OF FUZZY SUBGROUPS
In this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree m g(µ) = 1. Some properties of subgroup degrees are investigated.
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2010
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100005 |
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oai:scielo:S0716-091720100001000052010-05-19MEASURES OF FUZZY SUBGROUPSRui Shi,Shu Fuzzy subgroup implication operator subgroup degree In this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree m g(µ) = 1. Some properties of subgroup degrees are investigated.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.29 n.1 20102010-05-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100005en10.4067/S0716-09172010000100005 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Fuzzy subgroup implication operator subgroup degree |
| spellingShingle |
Fuzzy subgroup implication operator subgroup degree Rui Shi,Shu MEASURES OF FUZZY SUBGROUPS |
| description |
In this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree m g(µ) = 1. Some properties of subgroup degrees are investigated. |
| author |
Rui Shi,Shu |
| author_facet |
Rui Shi,Shu |
| author_sort |
Rui Shi,Shu |
| title |
MEASURES OF FUZZY SUBGROUPS |
| title_short |
MEASURES OF FUZZY SUBGROUPS |
| title_full |
MEASURES OF FUZZY SUBGROUPS |
| title_fullStr |
MEASURES OF FUZZY SUBGROUPS |
| title_full_unstemmed |
MEASURES OF FUZZY SUBGROUPS |
| title_sort |
measures of fuzzy subgroups |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2010 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172010000100005 |
| work_keys_str_mv |
AT ruishishu measuresoffuzzysubgroups |
| _version_ |
1718439767354376192 |