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In this paper a new type of fuzzy regularity, viz. fuzzy s * -regularity has been introduced and studied by introducing a newly defined closure operator, viz.,s * -closure operator. Also we have found the mutual relationship among other closure operators defined earlier. In Section 4, it has been shown that s * -closure operator is an idempotent operator in fuzzy s * -regular space and in the last section some characterizations of s * -closure operator have been done via fuzzy net.doi:10.12732/ijpam.v96i2.9 fatcat:hbvvvznhajfo3hafxzc3xjokiy