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...

Starting with a general formula, precise but difficult to use, for the adjoint of a composition operator on a functional Hilbert space, we compute an explicit formula on the classical Hardy Hilbert space for the adjoint of a composition operator with rational symbol. To provide a foundation for this formula, we study an extension to the definitions of composition, weighted composition, and Toep...

In this article, we mainly study the weighted composition-differentiation operator on Bergman space A?2 and derivative Hardy S12, which characterize complex symmetric Du,?. Moreover, normality self-adjointness of Du,? are also discussed.

"Let $\B_X$ be a bounded symmetric domain realized as the open unit ball of JB*-triple $X$ which may infinite dimensional. In this paper, we characterize weighted composition operators from Hardy space $H^{\infty}(\mathbb{B}_X)$ into $\alpha $-Bloch $\mathcal{B}^\alpha (\B_X)$ on $\mathbb{B}_X$. Later, show multiplication operator is bounded. Also, give norm operator."

In this paper, we study some relations between different weights in the classes Bp,Bp*,Mp and Mp* that characterize boundedness of Hardy operator adjoint operator. We also prove these generate same weighted Lorentz space Λp. These results will be proven by using properties Mp*, including self-improving generalized Hp, Sq fundamental them connecting their composition to sum.

We characterize the symbols φ for which there exists a weight w such that weighted composition operator MwCφ is compact on Bergman space Bα2. also bounded but not compact. investigate when Hilbert-Schmidt