A COMPARATIVE-STUDY ON SIMILARITY-BASED FUZZY-REASONING METHODS

Citation
Ds. Yeung et Ecc. Tsang, A COMPARATIVE-STUDY ON SIMILARITY-BASED FUZZY-REASONING METHODS, IEEE transactions on systems, man and cybernetics. Part B. Cybernetics, 27(2), 1997, pp. 216-227
Citations number
26
Categorie Soggetti
Controlo Theory & Cybernetics","Computer Science Cybernetics","Robotics & Automatic Control
ISSN journal
10834419
Volume
27
Issue
2
Year of publication
1997
Pages
216 - 227
Database
ISI
SICI code
1083-4419(1997)27:2<216:ACOSFM>2.0.ZU;2-X
Abstract
If the given fact for an antecedent in a fuzzy production rule (FPR) d oes not match exactly with the antecedent of the rule, the consequent can still be drawn by technique such as fuzzy reasoning, Many existing fuzzy reasoning methods are based on Zadeh's Compositional Rule of In ference (CRI) which requires setting up a fuzzy relation between the a ntecedent and the consequent part. There are some other fuzzy reasonin g methods which do not use Zadeh's CRT. Among them, the similarity-bas ed fuzzy reasoning methods, which make use of the degree of similarity between a given fact and the antecedent of the rule to draw the concl usion, are well known, In this paper, six similarity-based fuzzy reaso ning methods are compared and analyzed, Two of them are newly proposed by the authors, The comparisons are two-fold, One is to compare the s ix reasoning methods in drawing appropriate conclusions for a given se t of FPR's, The other is to compare them based on five issues: 1) type s of FPR handled by these methods; 2) the complexity of the methods; 3 ) the accuracy of the conclusion drawn; 4) the accuracy of the similar ity measure; and 5) the multi-level reasoning capability, The results have shed some lights on how to select an appropriate fuzzy reasoning method under different environments.