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In this paper, we have studied the various operations of interval valued anti fuzzy soft subhemirings of a hemiring to establish their basic properties. We have discussed different algebraic structures of interval valued anti-fuzzy soft subhemirings of a hemiring under the restricted and extended operations. Product and strongest relation have also been made in order to give a complete overview of these structures. Keywords Interval valued anti-fuzzy soft subhemiring of a hemiring , product ofdoi:10.26637/mjm0601/0028 fatcat:mba3xuzervefbclphl2jpfr5am