Theory of Multi-fuzzy set is an extension of the theory of fuzzy set, which deals with the multi-dimensional fuzziness. In this paper we extend the concept of multi-anti fuzzy subgroup and discussed some of its properties. The theory of multi-fuzzy set was introduced by Sabu Sebastian and T.V.Ramakrishnan which was in terms of multi-dimensional membership functions and they investigated some properties of multi-level fuzziness. Complete characterization of many real life problems can be done by multi-fuzzy membership functions of the objects involved in the problem.
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