The matrix representation of fuzzy knowledge and its application to the expert systems design
An approach to the diagnostic type expert systems design based on the special matrix representation of fuzzy predicates in the tribute model of the problem domain is presented. Intensive representation of predicates by means of sectional matrices is an analogue of the conjunctive normal form. Rules,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vladimir Andrunachievici Institute of Mathematics and Computer Science
1993-02-01
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| Series: | Computer Science Journal of Moldova |
| Online Access: | http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n1/v1-n1-(pp62-84).pdf |
| _version_ | 1828116129896202240 |
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| author | V. Levchenko A. Savinov |
| author_facet | V. Levchenko A. Savinov |
| author_sort | V. Levchenko |
| collection | DOAJ |
| description | An approach to the diagnostic type expert systems design based on the special matrix representation of fuzzy predicates in the tribute model of the problem domain is presented. Intensive representation of predicates by means of sectional matrices is an analogue of the conjunctive normal form. Rules, positive examples and negative examples (in general, all fuzzy) can be used to form knowledge base. Diagnostics problem is thought of as finding some attribute values provided that the information about other attribute values is available. Logical inference is based on an equivalent transformation of the matrix to that containing all prime disjuncts by using the operation of fuzzy resolution <xk>. Two strategies to carry out such transformation are described. On the basis of formalism presented the expert system shell EDIP is developed, the first version of that is non-fuzzy and the second one allows working with fuzzy data and conclusions. |
| first_indexed | 2024-04-11T12:52:07Z |
| format | Article |
| id | doaj.art-b518f6789416498cbcd0be83ad8a7ab1 |
| institution | Directory Open Access Journal |
| issn | 1561-4042 |
| language | English |
| last_indexed | 2024-04-11T12:52:07Z |
| publishDate | 1993-02-01 |
| publisher | Vladimir Andrunachievici Institute of Mathematics and Computer Science |
| record_format | Article |
| series | Computer Science Journal of Moldova |
| spelling | doaj.art-b518f6789416498cbcd0be83ad8a7ab12022-12-22T04:23:11ZengVladimir Andrunachievici Institute of Mathematics and Computer ScienceComputer Science Journal of Moldova1561-40421993-02-0111(1)6284The matrix representation of fuzzy knowledge and its application to the expert systems designV. Levchenko0A. Savinov1Institute of Mathematics, Academy of Sciences of Moldova, 5 Academiei str., Chisinau, 277028, Moldova Institute of Mathematics, Academy of Sciences of Moldova, 5 Academiei str., Chisinau, 277028, Moldova An approach to the diagnostic type expert systems design based on the special matrix representation of fuzzy predicates in the tribute model of the problem domain is presented. Intensive representation of predicates by means of sectional matrices is an analogue of the conjunctive normal form. Rules, positive examples and negative examples (in general, all fuzzy) can be used to form knowledge base. Diagnostics problem is thought of as finding some attribute values provided that the information about other attribute values is available. Logical inference is based on an equivalent transformation of the matrix to that containing all prime disjuncts by using the operation of fuzzy resolution <xk>. Two strategies to carry out such transformation are described. On the basis of formalism presented the expert system shell EDIP is developed, the first version of that is non-fuzzy and the second one allows working with fuzzy data and conclusions.http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n1/v1-n1-(pp62-84).pdf |
| spellingShingle | V. Levchenko A. Savinov The matrix representation of fuzzy knowledge and its application to the expert systems design Computer Science Journal of Moldova |
| title | The matrix representation of fuzzy knowledge and its application to the expert systems design |
| title_full | The matrix representation of fuzzy knowledge and its application to the expert systems design |
| title_fullStr | The matrix representation of fuzzy knowledge and its application to the expert systems design |
| title_full_unstemmed | The matrix representation of fuzzy knowledge and its application to the expert systems design |
| title_short | The matrix representation of fuzzy knowledge and its application to the expert systems design |
| title_sort | matrix representation of fuzzy knowledge and its application to the expert systems design |
| url | http://www.math.md/nrofdownloads.php?file=/files/csjm/v1-n1/v1-n1-(pp62-84).pdf |
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