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Yayın AN APPROACH TO SOFT FUNCTIONS(UNIV PRISHTINES, 2017) Aras, Cigdem Gunduz; Sonmez, Ayse; Cakalli, HuseyinIn this paper, using a more appreciate definition of a soft point, i.e. a soft point is a soft set (F, E) such that for the element e is an element of E, F(e) = {x} and F(e ') = (empty set) for all e ' is an element of E - {e}, we present a new approach to soft functions in a interesting way, and introduce the concepts of soft continuous, soft open, soft closed, and soft homeomorfic functions in a very different way from the source existing in the literature. In the investigation we prove theorems related to these concepts and provide with examples, and counterexamples.Yayın Lacunary statistical ward continuity(AMER INST PHYSICS, 2015) Cakalli, Huseyin; Aras, Cigdem Gunduz; Sonmez, Ayse; Ashyralyev, A; Malkowsky, E; Lukashov, A; Basar, FThe main object of this paper is to investigate lacunary statistically ward continuity. We obtain some relations between this kind of continuity and some other kinds of continuities. It turns out that any lacunary statistically ward continuous real valued function on a lacunary statistically ward compact subset E subset of R is uniformly continuous.Yayın Soft matrices on soft multisets in an optimal decision process(AMER INST PHYSICS, 2016) Coskun, Arzu Erdem; Aras, Cigdem Gunduz; Cakalli, Huseyin; Sonmez, Ayse; Ashyralyev, A; Lukashov, AIn this paper, we introduce a concept of a soft matrix on a soft multiset, and investigate how to use soft matrices to solve decision making problems. An algorithm for a multiple choose selection problem is also provided. Finally, we demonstrate an illustrative example to show the decision making steps.