An Algebra of Ontologies Approximation under Uncertainty
An Algebra of Ontologies Approximation under Uncertainty作者机构：Department of Mathematics Ahmadu Bello University Zaria Nigeria partment of Computer Science University of Ibadan Ibadan Nigeria
出 版 物：《International Journal of Intelligence Science》 (智能科学国际期刊（英文）)
年 卷 期：2014年第4卷第2期
页 面：54-64页
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
主 题：Ontologies Description Logics Soft Sets Rough Sets Uncertainty
摘 要：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.
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