The methodology consists of analytic network process (ANP), reality-design gap evaluation and fuzzy inference system.
For all p > 1, the space Q p is the same and equal to the Bloch space, consisting of analytic functions f in such that ∥ f ∥ B = | f ( 0 ) | + sup z ∈ D | f ′ ( z ) | ( 1 − | z | 2 ) < ∞. (1.2).
Consequently, for the class S consisting of analytic functions f ( z ) = z + ∑ n = 2 ∞ a n z n that are univalent in U, we have the following upper bound of the operator T z α, β.
This subspace consists of functions analytic in ({mathbb{C}}_) with zeros of the order −æ in the point (z=i).
For instance, let be the unit disk in, if (see [2]), where, consists of those analytic functions in for which (1.3).
The space (H^{infty}(mathbb{D})=H^{infty}) consists of all analytic and bounded functions on (mathbb{D}) with supremum norm (| f|_{infty}=sup_{z inmathbb{D}}|f z)|).
For (0consists of all analytic functions f on (mathbb{D}) such that B_{alpha }(f)=sup_{z inmathbb{D}}bigl 1-|z|^{2} bigr)^{alpha}bigl|f' z bigr|< infty.
For (zeta = exp (imath theta )), we denote the normalized Lebesgue measure on (mathbb {T}) by (text {d} mu (theta ) = text {d} theta / 2 pi.) The classical Hardy space on (mathbb {D}) is written as (H^p(mathbb {D})) and consists of those analytic functions f for which begin{aligned} mathop{text{sup}}limits_{r<1}^ left( int _{mathbb {T}} |f(r exp (imath theta ))|^p text {d}mu (theta )right)
This web application consists of four analytic modules at the time of the writing: View, Retrieve, Annotate, and Identify.
This approach consists of intuitionistic fuzzy analytic hierarchy process (IFAHP), an MCDM technique, for determining the weights of supplier evaluation criteria, and the concept of intuitionistic fuzzy axiomatic design (IFAD) principles for ranking competing supplier alternatives with respect to their overall performance.
