Mechanical analogy of statement networks

Wojciech Cholewa

International Journal of Applied Mathematics and Computer Science (2008)

  • Volume: 18, Issue: 4, page 477-486
  • ISSN: 1641-876X

Abstract

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The paper demonstrates briefly the reasoning capabilities in condition monitoring offered by systems based on statement networks. The usefulness of the networks considered results among others from possibilities of their optimization related to the minimization of contradictions between rules acquired from different knowledge sources. A mechanical analogy of such networks introduces an interpretation of statements as material points that are able to move. Dependencies between statements are considered as approximate necessary and approximate sufficient conditions, which are represented by unilateral constraints imposed on the introduced material points. A model of a dynamic statement network can be obtained out of the network consisting of statements represented by material points with assigned masses, where the inertia of statements may be taken into account. The paper introduces a measure of conditional contradictions of statements, which can be used for monitoring knowledge bases in running expert systems.

How to cite

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Wojciech Cholewa. "Mechanical analogy of statement networks." International Journal of Applied Mathematics and Computer Science 18.4 (2008): 477-486. <http://eudml.org/doc/207901>.

@article{WojciechCholewa2008,
abstract = {The paper demonstrates briefly the reasoning capabilities in condition monitoring offered by systems based on statement networks. The usefulness of the networks considered results among others from possibilities of their optimization related to the minimization of contradictions between rules acquired from different knowledge sources. A mechanical analogy of such networks introduces an interpretation of statements as material points that are able to move. Dependencies between statements are considered as approximate necessary and approximate sufficient conditions, which are represented by unilateral constraints imposed on the introduced material points. A model of a dynamic statement network can be obtained out of the network consisting of statements represented by material points with assigned masses, where the inertia of statements may be taken into account. The paper introduces a measure of conditional contradictions of statements, which can be used for monitoring knowledge bases in running expert systems.},
author = {Wojciech Cholewa},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {statement network; dynamic statement; contradictory rules; belief network},
language = {eng},
number = {4},
pages = {477-486},
title = {Mechanical analogy of statement networks},
url = {http://eudml.org/doc/207901},
volume = {18},
year = {2008},
}

TY - JOUR
AU - Wojciech Cholewa
TI - Mechanical analogy of statement networks
JO - International Journal of Applied Mathematics and Computer Science
PY - 2008
VL - 18
IS - 4
SP - 477
EP - 486
AB - The paper demonstrates briefly the reasoning capabilities in condition monitoring offered by systems based on statement networks. The usefulness of the networks considered results among others from possibilities of their optimization related to the minimization of contradictions between rules acquired from different knowledge sources. A mechanical analogy of such networks introduces an interpretation of statements as material points that are able to move. Dependencies between statements are considered as approximate necessary and approximate sufficient conditions, which are represented by unilateral constraints imposed on the introduced material points. A model of a dynamic statement network can be obtained out of the network consisting of statements represented by material points with assigned masses, where the inertia of statements may be taken into account. The paper introduces a measure of conditional contradictions of statements, which can be used for monitoring knowledge bases in running expert systems.
LA - eng
KW - statement network; dynamic statement; contradictory rules; belief network
UR - http://eudml.org/doc/207901
ER -

References

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