42791429-cfb8-4236-9c27-b1ae9f3c157d20210217123123964wseamdt@crossref.orgMDT DepositWSEAS TRANSACTIONS ON MATHEMATICS1109-276910.37394/23206http://wseas.org/wseas/cms.action?id=40512720202720201910.37394/23206.2020.19http://wseas.org/wseas/cms.action?id=23185AhlamFallatahTaibah University, Department of Mathematics, Madina, SAUDI ARABIAMourad OqlaMassa’dehAl-Balqa Applied university, Department of Applied science, Ajloun, JORDANAbd UlazeezAlkouriAjloun National University, Department of Mathematics, Ajloun, JORDANGiven the notion of tripolar fuzzy soft sets, the concepts of a tripolar fuzzy soft Γ-Semirings, a tripolar fuzzy soft Γ-Semiring homomorphism and a tripolar fuzzy soft ideal in Γ-Semirings are discussed, and related properties and corollaries are investigated. On the other hand, in this paper, we also define the image and pre-image of tripolar fuzzy soft Γ-Semirings. 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