In our pre-work, the two sufficient and necessary conditions have been given on K6czy's interpolative reasoning method in sparse fuzzy rule bases, to guarantee that the reasoning consequence is of triangular-type if the fuzzy rules and an observation are defined by triangular-type membership functio
Reasoning conditions on Kóczy's interpolative reasoning method in sparse fuzzy rule bases
✍ Scribed by Shi Yan; Masaharu Mizumoto; Wu Zhi Qiao
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 369 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0165-0114
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In sparse fuzzy rule bases, conventional fuzzy reasoning methods cannot reach a proper conclusion. To tackle this problem, K6czy and Hirota have proposed a method called interpolative reasoning. It has been found that by this method the convexity of the reasoning consequence fuzzy set cannot always
In this note, we analyze continually the interpolative reasoning method by Krczy and Hirota, and prove that the reasoning conditions given by the authors are also necessary conditions to guarantee the fuzzy inference consequence to be of triangular type if the fuzzy rules and an observation are defi
In , Yan et al. analyzed Koczy and Hirota's linear interpolative reasoning method presented in I-2, 3] and found that the reasoning consequences by their method sometimes become abnormal fuzzy sets. Thus, they pointed out that a new interpolative reasoning method will be needed which can guarantee t