Lattices of Interval-Valued Fuzzy Subgroups
نویسندگان
چکیده
We discuss some interesting sublattices of interval-valued fuzzy subgroups. In our main result, we consider the set of all interval-valued fuzzy normal subgroups with finite range that attain the same value at the identity element of the group. We then prove that this set forms a modular sublattice of the lattice of interval-valued fuzzy subgroups. In fact, this is an interval-valued fuzzy version of a well-known result from classical lattice theory. Finally, we employ a lattice diagram to exhibit the interrelationship among these sublattices.
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ورودعنوان ژورنال:
- Int. J. Fuzzy Logic and Intelligent Systems
دوره 14 شماره
صفحات -
تاریخ انتشار 2014