کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
395623 665996 2009 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Some constructions of the join of fuzzy subgroups and certain lattices of fuzzy subgroups with sup property
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Some constructions of the join of fuzzy subgroups and certain lattices of fuzzy subgroups with sup property
چکیده انگلیسی

In this paper, some new lattices of fuzzy substructures are constructed. For a given fuzzy set μμ in a group G  , a fuzzy subgroup S(μ)S(μ) generated by μμ is defined which helps to establish that the set LsLs of all fuzzy subgroups with sup property constitutes a lattice. Consequently, many other sublattices of the lattice LL of all fuzzy subgroups of G   like Lst,Lsn,Lsnt, etc. are also obtained. The notion of infimum is used to construct a fuzzy subgroup i(μ)i(μ) generated by a given fuzzy set μμ, in contrast to the usual practice of using supremum. In the process a new fuzzy subgroup i(μ)∗i(μ)∗ is defined which we shall call a shadow fuzzy subgroup of μμ. It is established that if μμ has inf property, then i(μ)∗i(μ)∗ also has this property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Information Sciences - Volume 179, Issue 23, 25 November 2009, Pages 4070–4082
نویسندگان
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