Abstract

In this article, the notions of soft closed sets were introduced by using soft ideal and soft semi-open sets, which are soft-J-semi-g-closed sets "sJsg-closed" where many of the properties of these sets were clarified. Some definitions of near open soft functions, near and near soft continuous functions were offered like; soft Jsg-open functions, soft J *sg-open functions, soft J **sg-open functions, soft Jsg-continuous functions, strongly soft Jsg-continuous functions and soft Jsg-irresolute-functions. Some kinds of separation axioms and convergence in sequences were studied by using soft-J-semi-g-open sets like; sJsg-T 0space, sJsg-T 1-space, sJsg-T 2-space.Many figures and propositions have been studied the relationships among these kinds of near soft functions with some examples were explained.

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