A New Type of Interval Valued Fuzzy Normal Subgroups of Groups
In this paper we are using the notions of not belonging and non quasi- -coincidence of an interval valued fuzzy point with an interval valued fuzzy set, we define the concepts of interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets which is a generalizati on of fuzzy norma...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
BİSKA Bilisim Company
2014-12-01
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| Series: | New Trends in Mathematical Sciences |
| Subjects: | |
| Online Access: | http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=54 |
| Summary: | In this paper we are using the notions of not belonging and non quasi- -coincidence of an interval valued fuzzy point with an interval valued fuzzy set, we define the concepts of interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets which is a generalizati on of fuzzy normal subgroups, fuzzy coset, interval valued fuzzy normal subgroups, interval valued fuzzy coset, interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets. We give some characterizations of an interval valued -fuzzy normal subgroup and interval valued -fuzzy coset, and deal with several related properties. The important achievement of the study with an interval valued -fuzzy normal subgroup and interval valued -fuzzy cosets is the generalization of that the notions of fuzzy normal subgroups, fuzzy coset, interval valued fuzzy normal subgroups, interval valued fuzzy coset, interval valued -fuzzy normal subgroups and interval valued -fuzzy cosets. We prove that the set of all interval valued -fuzzy cosets of is a group, where the multiplication is defined by for all If is defined by for all Then is an interval valued -fuzzy normal subgroup of |
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| ISSN: | 2147-5520 2147-5520 |