Now we give the definition of the
Cartesian product of neutrosophic soft sets.
From now on, we always use this version of the
cartesian product with a derivative of one of the [H.sub.i]'s.
Then, a
cartesian product on [[psi].sub.K] is obtained as follows.
Then their
cartesian product is ([[GAMMA].sub.Q], A) x ([[PSI].sub.Q], B) = ([[ohm].sub.Q], A x B) where [[ohm].sub.Q](a, b) = [[GAMMA].sub.Q](a) x [[PSI].sub.Q](b) for (a, b) E A x B.
From the definition of
Cartesian product graphs, for every vertex ([q.sub.1], [q.sub.2]) [member of] [V.sub.1] x [V.sub.2], we have
The domination related questions on the
Cartesian product seems to be the most problematic among the standard products.
If [G.sub.1] and [G.sub.2] are the strong interval valued neutrosophic graphs, then the
cartesian product [G.sub.1] x [G.sub.2]is a strong interval valued neutrosophic graph.
If [PI] is an equitable partition in any graph [GAMMA] and [DELTA] is an equitable partition in another graph [SIGMA], then {P x P' | P [member of] [PI], P' [member of] [DELTA]} is an equitable partition in the
cartesian product graph [GAMMA] x [SIGMA].
Let [[??].sup.n.sub.i=1] [G.sub.i] be
Cartesian product of n [greater than or equal to] 2 connected graphs [G.sub.i].
We first give the definition of
cartesian product of fuzzy SU-ideals and
cartesian product of anti fuzzy SU-ideals on SU-algebra and provide some its properties.
The diwebgraph (m, n) denoted shortly by [??](m, n) is the digraph obtained by taking the
Cartesian product of [C.sub.m] and [P.sub.n].