On the min-max composition of fuzzy matrices
β Scribed by M.Z. Ragab; E.G. Emam
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 334 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0165-0114
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A close analysis of the Syllogism inference rule shows that if one uses Zadeh's notion of fuzzy if-then, then the proper way of combining the membership values of two fuzzy rules rl: "if A, then B" and r2: "if B, then C" is not by the usual max-min composition rule, but by the following min-max rule
The problem of the strong regularity of a square matrix in a general max-min algebra is considered and a necessary and sufficient condition using the trapezoidal property is described. The results are valid without any restrictions on the underlying max-min algebra, concerning the density, or the bo