Abstract
Order is used frequently in mathematical objects and related fields. We use order in the soft set that is introduced by Molodtsov [1]. Babitha and Sunil [2] gave the definition of soft set relation, then Babitha and Sunil [3] defined partially ordered soft set. We introduced directed soft sets in [4]. Moreover, definition of soft lattice, complete soft lattice were given in [5]. We made a presentation, whose abstract was published only in the Abstract Book, in ICRAPAM 2014 [6] about the way-below soft set relation. In this paper, this study is extended and the proofs of all results of our presentation is given. Moreover, continuous soft lattices, L-soft domain are defined, and some important results are obtained and proved in this study.
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