Reduction of fuzzy strict order relations. (English) Zbl 0576.06003
For a given fuzzy relation R the existence of a subrelation S is examined such that R coincides with the transitive closure of S. If R is a strict order fuzzy relation \((R\cap I=\emptyset\), \(R^ 2\subset R)\), then \(S=R- R^ 2\).
Reviewer: J.Drewniak
MSC:
| 06A06 | Partial orders, general |
| 08A30 | Subalgebras, congruence relations |
| 08A02 | Relational systems, laws of composition |
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