In this paper, we define Anti-fuzzy ideal of a -near-ring in R and T -anti-fuzzy ideal of a -near-ring in R . we made an attempt to study the properties of T -anti-fuzzy ideal of a -near-ring, union of T -anti-fuzzy ideals of -near-ring, join of T -anti-fuzzy ideal of a -near-ring in R , join of a family of T -anti-fuzzy ideal of a -near-ring in R and family of union of T -anti-fuzzy ideal of -near-ring in R .
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