A Formal Study on the Transitivity of the Part-Whole Relations

Author

Li, Lian ; Jun, Ma ; Ling, Song

Author_Institution

Sch. of Comput. Sci. & Technol., Shandong Univ., Jinan

fYear

2006

fDate

Nov. 28 2006-Dec. 1 2006

Firstpage

129

Lastpage

129

Abstract

Transitivity is an important property used in logical reasoning. However, Part-Whole (PW) relations usually do not satisfy the property. Wiston and Odell partitioned PW relations into six sub-PW relations respectively, such that the transitivity property is held in each sub-class and each different sub-PW denotes a kind of PW relations with special meanings. This paper studies the composition of different sub-PW relations given by Wiston and Odell in following three aspects: (I) Does the composition relation of two different sub- PW relations make sense?(2) Is the transitivity still held for the composition relations of two different sub- PW relations; (3) which sub-PW class does the composition relation belong to. Different from former study, a formal discussion is carried for above issues.

Keywords

cognitive systems; inference mechanisms; ontologies (artificial intelligence); logical reasoning; part-whole relation; transitivity property; Automatic control; Computational intelligence; Computational modeling; Computer architecture; Computer science; Fingers; Intelligent agent; Ontologies; Semantic Web; Taxonomy;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence for Modelling, Control and Automation, 2006 and International Conference on Intelligent Agents, Web Technologies and Internet Commerce, International Conference on

Conference_Location

Sydney, NSW

Print_ISBN

0-7695-2731-0

Type

conf

DOI

10.1109/CIMCA.2006.7

Filename

4052759