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In this paper, the theory of fuzzy semiprimary ideal [16] is extended by introducing intuitionistic anti fuzzy primary ideals as well as intuitionistic anti fuzzy semiprimary ideals in rings. Similarly, Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideals (IVIAFLPI) is defined. Various properties of IVIAFLPI are discussed. Finally, Interval-Valued Intuitionistic Fuzzy Lie Semiprimary Ideals (IVIAFLSPI) is established.

Some Properties of Interval-Valued Intuitionistic Anti Fuzzy Lie Primary Ideal