in some multi-attribute decision making (madm) problems, various relationships among the decision attributes should be considered. this paper investigates the prioritization relationship of attributes in madm with trapezoidal intuitionistic fuzzy numbers (trifns). trifns are a special intuitionistic fuzzy set on a real number set and have the better capability to model ill-known quantities. fir...

The aim of this paper is to model the processes of the aggregation of weighted information in a linguistic framework. Three aggregation operators of weighted linguistic information are presented: linguistic weighted disjunction (LWD) operator, linguistic weighted conjunction (LWC) operator, and linguistic weighted averaging (LWA) operator. A study of their axiomatics is presented to demonstrate...

We develop a new decision making model based on the use of a unified approach between the probability, the weighted average and the ordered weighted averaging (OWA) operator in an uncertain environment that can be assessed with fuzzy numbers (FNs). We present a new aggregation operator called the fuzzy probabilistic ordered weighted averaging – weighted averaging (FPOWAWA) operator. We study it...

The analytic self map of the unit disk D, φ is said to induce a composition operator Cφ from the Banach space X to the Banach Space Y if Cφ(f) = f ◦ φ ∈ Y for all f ∈ X . For z ∈ D and α > 0 the families of weighted Cauchy transforms Fα are defined by f(z) = ∫ T K x (z)dμ(x) where μ(x) is complex Borel measures, x belongs to the unit circle T and the kernel Kx(z) = (1 − xz) −1 . In this paper w...

We extend a classical result of Caughran/H. Schwartz and another recent result of Gunatillake by showing that if D is a bounded, convex domain in C, ψ : D → C is analytic and bounded away from zero toward the boundary of D, and φ : D → D is a holomorphic map such that the weighted composition operator Wψ,φ is compact on a holomorphic functional Hilbert space (containing the polynomial functions...

We present the induced intuitionistic fuzzy ordered weighted averaging-weighted average (I-IFOWAWA) operator. It is a new aggregation operator that uses the intuitionistic fuzzy weighted average (IFWA) and the induced intuitionistic fuzzy ordered weighted averaging (I-IFOWA) operator in the same formulation. We study some of its main properties and we have seen that it has a lot of particular c...

by using generalized salagean differential operator a newclass of univalent holomorphic functions with fixed finitely manycoefficients is defined. coefficient estimates, extreme points,arithmetic mean, and weighted mean properties are investigated.

The paper studies the weighted weak type inequalities for the Hardy operator as an operator from weighted L to weighted weak L in the case p = 1. It considers two different versions of the Hardy operator and characterizes their weighted weak type inequalities when p = 1. It proves that for the classical Hardy operator, the weak type inequality is generally weaker when q < p = 1. The best consta...