In this paper we develop a new method for 2-tuple linguistic multiple attribute decision making, namely the 2-tuple linguistic generalized ordered weighted averaging distance (2LGOWAD) operator. This operator is an extension of the OWA operator that utilizes generalized means, distance measures and uncertain information represented as 2-tuple linguistic variables. By using 2LGOWAD, it is possib...

In the present paper, we study some approximation properties of a modified Jain-Gamma operator. Using Korovkin type theorem, first give such Secondly, compute rate convergence this operator by means modulus continuity and weighted spaces. Finally, obtain Voronovskaya theorem

We construct the commutative current operator x̄+(z) inside Uq(ŝl(2)). With this operator and the condition of quantum integrability on the quantum currents of Uq(ŝl(2)), we derive the quantization of the semiinfinite construction of integrable modules of ŝl(2) which has been previously obtained by means of the current operator e(z) of ŝl(2). The quantization of the functional models for ŝl(2) i...

By means of a unitary transformation scheme, the Coulomb-Dirac operator for two electrons in a central potential is transformed into a pseudo-relativistic operator which allows for the decoupling of the electron and positron degrees of freedom to arbitrary order n in the potential strength. In case of n = 2, relative boundedness properties and positivity of the resulting operator are shown for ...

A triangular operator is an aggregation operator that can be understood as a generalization of a logical connective. Although weighted means are very often used for combining audio similarity measures, theoretical considerations suggest that it might be better to use a triangular operator instead. With the MIREX 2007 submissions described in this paper, we investigate if triangular operators re...

‎in this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by zou [operator inequalities associated with tsallis relative operator entropy‎, ‎{em math‎. ‎inequal‎. ‎appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and tsallis relative o...

Trapezoidal intuitionistic fuzzy numbers (TrIFNs) express abundant and flexible information in a suitable manner and  are very useful to depict the decision information in the procedure of decision making. In this paper, some new aggregation operators, such as, trapezoidal intuitionistic fuzzy weighted power harmonic mean (TrIFWPHM) operator, trapezoidal intuitionistic fuzzy ordered weighted po...

A generalization of the Aleksandrov operator is provided, in order to represent the adjoint of a weighted composition operator on H2 by means of an integral with respect to a measure. In particular, we show the existence of a family of measures which represents the adjoint of a weighted composition operator under fairly mild assumptions, and we discuss not only uniqueness but also the generaliz...

we introduce a new concept of general $g$-$eta$-monotone operator generalizing the general $(h,eta)$-monotone operator cite{arvar2, arvar1}, general $h-$ monotone operator cite{xiahuang} in banach spaces, and also generalizing $g$-$eta$-monotone operator cite{zhang}, $(a, eta)$-monotone operator cite{verma2}, $a$-monotone operator cite{verma0}, $(h, eta)$-monotone operator cite{fanghuang}...

In ‎the present ‎paper, ‎we ‎introduce the ‎two-wavelet ‎localization ‎operator ‎for ‎the square ‎integrable ‎representation ‎of a‎ ‎homogeneous space‎ with respect to a relatively invariant measure. ‎We show that it is a bounded linear operator. We investigate ‎some ‎properties ‎of the ‎two-wavelet ‎localization ‎operator ‎and ‎show ‎that ‎it ‎is a‎ ‎compact ‎operator ‎and is ‎contained ‎in‎ a...