TITLE:
An Algebra of Ontologies Approximation under Uncertainty
AUTHORS:
A. F. Donfack Kana, B. O. Akinkunmi
KEYWORDS:
Ontologies, Description Logics, Soft Sets, Rough Sets, Uncertainty
JOURNAL NAME:
International Journal of Intelligence Science,
Vol.4 No.2,
April
28,
2014
ABSTRACT:
Ontologies are widely used in modeling the real world for the purpose of
information sharing and reasoning. Traditional ontologies contain only concepts
and relations that describe asserted facts about the world. Modeling in a
dynamic world requires taking into consideration the uncertainty that may arise
in the domain. In this paper, the concept of soft sets initiated by Molodtsov
and the concept of rough sets introduced by Pawlack are used to define a way of
instantiating ontologies of vague domains. We define ontological algebraic
operations and their properties while taking into consideration the uncertain
nature of domains. We show that, by doing so, intra ontological operations and
their properties are preserved and formalized as operations in a vague set of
objects and can be proved algebraically.