REASONING CONDITIONS ON KOCZY INTERPOLATIVE REASONING METHOD IN SPARSE FUZZY RULE BASES .2.

Authors
SHI Y MIZUMOTO M
Citation
Y. Shi et M. Mizumoto, REASONING CONDITIONS ON KOCZY INTERPOLATIVE REASONING METHOD IN SPARSE FUZZY RULE BASES .2., Fuzzy sets and systems, 87(1), 1997, pp. 47-56
Citations number
9
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
87
Issue
1
Year of publication
1997
Pages
47 - 56
Database
ISI
SICI code
0165-0114(1997)87:1<47:RCOKIR>2.0.ZU;2-D
Abstract
In our pre-work, the two sufficient and necessary conditions have been given on Koczy's interpolative reasoning method in sparse fuzzy rule bases, to guarantee that the reasoning consequence is of triangular-ty pe if the fuzzy rules and an observation are defined by triangular-typ e membership functions. However, the two conditions are too strong to use the reasoning method on practical applications. In this paper, we analyze the properties of the reasoning method in detail and give seve ral applicable sufficient conditions on it, in order to make the reaso ning consequence always a normal and convex fuzzy set. (C) 1997 Elsevi er Science B.V.