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Zbl 1189.68140
Jiang, Yuncheng; Tang, Yong; Chen, Qimai; Wang, Ju; Tang, Suqin
Extending soft sets with description logics. (English)
[J] Comput. Math. Appl. 59, No. 6, 2087-2096 (2010). ISSN 0898-1221

Summary: Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Description Logics (DLs) are a family of knowledge representation languages which can be used to represent the terminological knowledge of an application domain in a structured and formally well-understood way. The current research progress and the existing problems of soft set theory are analyzed. In this paper we extend soft sets with DLs, i.e., present an extended soft set theory by using the concepts of DLs to act as the parameters of soft sets. We define some operations for the extended soft sets. Moreover, we prove that certain De Morgan's laws hold in the extended soft set theory with respect to these operations.

MSC 2000:: *68T37 Reasoning under uncertainty
03E72 Fuzzy sets (logic)
68T30 Knowledge representation

Keywords: soft sets; extended soft sets; description logics; terminology

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