Fuzzy temporal logic on fuzzy temporal constraint networks

Authors:
Liguo Deng;Yunpeng Cai;Chen Wang;Yan Jiang
Affiliations:
College of Software, Shenyang Normal University, Shenyang, China;College of Software, Shenyang Normal University, Shenyang, China;College of Software, Shenyang Normal University, Shenyang, China;College of Software, Shenyang Normal University, Shenyang, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

The aim of this work is to integrate the ideas of flexibility and uncertainty into Allen's interval-based temporal logic[1], defining a new formalism which extends classical interval Algebra. We refer to fuzzy temporal constraint satisfaction problem, in which constraints are satisfied to a degree, which is based on fuzzy sets. The main objective of this research is the development of a temporal reasoning system able to manage qualitative and quantitative information also affected by vagueness and uncertainty about the external reality reaches. Further analysis of some measures on fuzzy degrees turns out to be fundamental in order to precisely determine some of these queries. The results presented in this paper can be useful in the design of a system for fuzzy temporal reasoning under uncertainty.