On fuzzy subnear-rings and ideals
Fuzzy Sets and Systems
On the definition of a fuzzy subgroup
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy subrings and ideals redefined
Fuzzy Sets and Systems
Fuzzy Sets and Systems
(&egr;, &egr; V q)-fuzzy normal, quasinormal and maximal subgroups
Fuzzy Sets and Systems
On fuzzy congruence of a near-ring module
Fuzzy Sets and Systems
Normal fuzzy R-subgroups in near-rings
Fuzzy Sets and Systems
Generalized fuzzy groups and many-valued implications
Fuzzy Sets and Systems
On intuitionistic fuzzy sub-hyperquasigroups of hyperquasigroups
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy n-ary polygroups related to fuzzy points
Computers & Mathematics with Applications
Computers & Mathematics with Applications
On the definition of the intuitionistic fuzzy subgroups
Computers & Mathematics with Applications
Computers & Mathematics with Applications
Computers & Mathematics with Applications
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The hypernear-rings generalize the concept of near-rings, in the sense that instead of the operation + the hyperoperation + is defined on the set R, that is a mapping R × R → P* (R), where P* (R) is the set of all the non-empty subsets of R. The study of hypernear-rings is extremely challenging, effering curiously beautiful results to one who is willing to look for structure where symmetry is not so abundant. In this paper, using the notion of "belongingness (∈)" and "quasi-coincidence (q)" of fuzzy points with fuzzy sets, the concept of (∈, ∈ Vq)-fuzzy sub-hypernear-ring (hyperideal) is introduced. Characterization and some of the fundamental properties of such fuzzy sub-hypernear-rings (hyperideals) are obtained. (∈, ∈ Vq)-fuzzy cosets determined by (∈, ∈ Vq)-fuzzy sub-hypernear-rings are discussed. Finally, we give the definition of a fuzzy sub-hypernear-ring (hyperideal) with thresholds which is a generalization of an ordinary fuzzy sub-hypernear-ring (hyperideal) and an (∈, ∈ Vq)-fuzzy sub-hypernear-ring (hyperideal).