Fuzzy cardinality of equivalent fuzzy subgroups
نویسنده
چکیده
منابع مشابه
FUZZY SUBGROUPS AND CERTAIN EQUIVALENCE RELATIONS
In this paper, we study an equivalence relation on the set of fuzzysubgroups of an arbitrary group G and give four equivalent conditions each ofwhich characterizes this relation. We demonstrate that with this equivalencerelation each equivalence class constitutes a lattice under the ordering of fuzzy setinclusion. Moreover, we study the behavior of these equivalence classes under theaction of a...
متن کاملFuzzy Parameterized Fuzzy Soft Normal Subgroups of Groups
In the present paper, we redefine the concept of FPFS-sets in algebra systems, which is a novel way that is different from the definition of FPFS-sets in hemirings by Liu [10]. Based on the definition, we put forth FPFS-groups, FPFSnormal subgroups and FP -equivalent fuzzy soft normal subgroups of groups. Further, some properties and characterizations are investigated. Finally, aggregate fuzzy ...
متن کاملA Note on Fuzzy Symmetric Groups 1
The purpose of this note is to give an example to counter the result of [5] and to find the cardinality of the image of a fuzzy symmetric subgroups of S4, S5 and Sn. Mathematics Subject Classification: 03G10, 20B30, 20B35
متن کاملComplex fuzzy Hv-subgroups of an Hv-group
The concept of complex fuzzy sets is a generalization of ordinary fuzzy sets. In this paper, we introduce the concept of complex fuzzy subhypergroups ($H_{v}$-subgroups) as well as the concept of complex anti-fuzzy subhypergroups ($H_{v}$-subgroups). We investigate their properties and their relations with the traditional fuzzy (anti-fuzzy) subhypergroups ($H_{v}$-subgroups), and we prove some ...
متن کاملCLASSIFYING FUZZY SUBGROUPS OF FINITE NONABELIAN GROUPS
In this paper a rst step in classifying the fuzzy subgroups of a nite nonabelian group is made. We develop a general method to count the number of distinct fuzzy subgroups of such groups. Explicit formulas are obtained in the particular case of dihedral groups.
متن کامل