Paper:
Language: English:

Some Preliminary Results on the Stableness of Extended F-rule Systems

Nguyen Thanh Thuy^, Phan Duong Hieu^, and Takahiro Yamanoi^

Hanoi University of Technology, 1 DaiCoViet str., Hanoi, Vietnam
Dept. of CS, Ecole Normale Superieure, Paris, France
Division of Electronics and Information Engineering, Faculty of Engineering, Hokkai Gakuen University, W11-1-1, S26, Central ward, Sapporo, 064-0926 Japan

Received: August 10, 2003

Accepted: August 26, 2003

Keywords: probabilistic reasoning, interval-valued uncertainty, rule-based systems, extended F-rule systems, stableness in reasoning

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.7, No.3 pp. 252-259, 2003

Abstract

In this paper we shall investigate an extended version of F-rule systems, in which each F-rule can include an arbitrary combination of disjunctions and conjunctions of atoms in the premise. The first main result here is a way to determine values assigned to these extended facts, based on two basic operators ⊕ and x;, which are shown to be equivalent to external probabilistic reasoning by resolving linear programming problem. Based on this, a definition on mixed inference operator for extended F-rule systems is discussed. We have shown that an extended F-rule system with the defined reasoning operator is stable iff its corresponding F-rule system is stable. This proposition allows us to apply all our available research results on F-rule systems to extended F-rule systems.

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