absorptive laws

absorptive laws

[əb′sȯrp·tiv ‚lȯz]
(mathematics)
Either of two laws satisfied by the operations, usually denoted ∪ and ∩, on a Boolean algebra, namely a ∪ (ab) = a and a ∩ (ab) = a, where a and b are any two elements of the algebra; if the elements of the algebra are sets, then ∪ and ∩ represent union and intersection of sets.
References in periodicals archive ?
Thus, it is well known that the following types of absorptive laws are valid in the theory of interval-valued fuzzy sets.
It has been shown that the commutative, associative, idempotent, and absorptive laws of IVF soft sets do not hold in the conventional sense described by IVF soft identical relations but hold in some weaker forms characterized in terms of the IVF soft equal relations [=.sub.L] or [=.sub.J].
Considering IVF soft sets, we have the following result which shows that the absorptive law similar to the first assertion in Proposition 44 holds in a much weaker form characterized in terms of IVF soft J-equal relations.
The above result is called the weak absorptive law of IVF soft sets.