Abstract
We introduced the notions of (λ, μ)-anti-fuzzy subgroups, studied some properties of them and discussed the product of them.
Highlights
Introduction and preliminariesFuzzy sets was first introduced by Zadeh [1] and the fuzzy sets have been used in the reconsideration of classical mathematics
Shen researched anti-fuzzy subgroups in [6] and Dong [7] studied the product of anti-fuzzy subgroups
By a fuzzy subset of a nonempty set X we mean a mapping from X to the unit interval 0[1]
Summary
Introduction and preliminariesFuzzy sets was first introduced by Zadeh [1] and the fuzzy sets have been used in the reconsideration of classical mathematics. Let G, G1, and G2 always denote groups in the following. A fuzzy set A of a group G is called a (l, μ)-anti-fuzzy subgroup of G if ∀a, b, c Î G.
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