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Fuzzy groups, fuzzy functions and fuzzy equivalence relations
To each fuzzy subgroup a fuzzy equivalence relation is associated and it is proved that a fuzzy subgroup is normal if and only if the operation of the group is compatible with its associated fuzzy equivalence relation. In the definition of fuzzy subgroup only the subset is fuzzy whilst the group operation remains crisp.
Demirci, M, Recasens Ferrés, Jorge
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Notions of Lowen type fuzzy soft topological space are introduced and some of their properties are established in the present paper. Besides this, a combined structure of a fuzzy soft topological space and a fuzzy soft group, which is termed here as ...
S. Nazmul, S.K. Samanta
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Introduction to fuzzy soft groups
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AYGÜN, HALİS +1 more
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On the Algebraic Characteristics of Fuzzy Sub e-Groups
Fuzzy set is a modern tool for depicting uncertainty. This paper introduces the concept of fuzzy sub e-group as an extension of fuzzy subgroup. The concepts of identity and inverse are generalized in fuzzy sub e-groups.
Supriya Bhunia +4 more
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CHARACTERISTIC FUZZY GROUPS [PDF]
Summary: We define the notion of a characteristic fuzzy subgroup which is the analogue of a characteristic subgroup in the ordinary group theory and derive various new ones from a given characteristic fuzzy subgroup.
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Using level-2 fuzzy sets to combine uncertainty and imprecision in fuzzy regions [PDF]
In many applications, spatial data need to be considered but are prone to uncertainty or imprecision. A fuzzy region - a fuzzy set over a two dimensional domain - allows the representation of such imperfect spatial data.
D. Dubois +11 more
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On Bipolar Complex Fuzzy Hv-subgroups [PDF]
The target of this article is to peruse bipolar complex fuzzy subhypergroups (Hv−subgroups) by employing bipolarcom-plex fuzzy sets and hyperstructures besides of this some related properties are debated.Furthermore, the notion of bipolar complex anti ...
Sanem Yavuz +2 more
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Fuzzy Nambu-Goldstone Physics [PDF]
In spacetime dimensions larger than 2, whenever a global symmetry G is spontaneously broken to a subgroup H, and G and H are Lie groups, there are Nambu-Goldstone modes described by fields with values in G/H. In two-dimensional spacetimes as well, models
A. P. BALACHANDRAN +4 more
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Aggregating fuzzy subgroups and T-vague groups [PDF]
Fuzzy subgroups and T-vague groups are interesting fuzzy algebraic structures that have been widely studied. While fuzzy subgroups fuzzify the concept of crisp subgroup, T-vague groups can be identified with quotient groups of a group by a normal fuzzy ...
Boixader Ibáñez, Dionís +2 more
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Fuzzy (Anti- Fuzzy) Sub Groups and Fuzzy (Anti- Fuzzy) Normal Sub Groups
In this paper, We discuss the definition of fuzzy subgroup, definition of anti- fuzzy subgroup,the definition of fuzzy normal sub group, definition of anti- fuzzy normal sub group and show the relation between fuzzy normal sub groups and an Anti- fuzzy normal sub groups and derive the definitions of Connectedness and also the definitions of Seperation ...
S. Chandrasekaran, N. Deepica
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