A probabilistic object-oriented database model with fuzzy probability measures and its algebraic operations

Article type: Research Article

Authors: Yan, Li | Ma, Zongmin

Affiliations: College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China

Correspondence: [*] Correspondence to: Zongmin Ma, College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China. Tel./Fax: +86 24 83681582; [email protected]

Abstract: This paper concentrates on modeling probabilistic events with fuzzy probability measures in the object-oriented databases. Instead of crisp probability measures or interval probability measures of objects and classes, fuzzy sets are used to represent imprecise probability measures. A probabilistic object-oriented database model with fuzzy probability measures is introduced, which incorporates fuzzy probability degrees to handle imprecision and uncertainty. Based on the proposed probabilistic object-oriented database model, several major semantic relationships of probabilistic objects and probabilistic classes with fuzzy probability measures are investigated in the paper. Finally we define some algebraic operations for probabilistic objects and probabilistic classes with fuzzy probability measures.

Keywords: Probabilistic data model, object-oriented database, fuzzy sets, fuzzy probability measures, algebraic operations

DOI: 10.3233/IFS-141307

Journal: Journal of Intelligent & Fuzzy Systems, vol. 28, no. 5, pp. 1969-1984, 2015