The research finds justification given the incidence and magnitude they currently have in human social sphere framework of so-called Society 2.0. Derived from this framework, approach must specially consider education as a vital process. same happens with information communication technologies since are frequently increasingly used mediation educational contexts because their undeniable interac...

this paper presents characterizations of m-fuzzifying matroids bymeans of two kinds of fuzzy operators, called m-fuzzifying derived operatorsand m-fuzzifying difference derived operators.

we characterize compact composition operators on real banach spaces of complex-valued bounded lipschitz functions on metric spaces, not necessarily compact, with lipschitz involutions and determine their spectra.

For a large class, containing the Kato class, of real-valued Radon measures m on R d the operators −∆ + ε 2 ∆ 2 + m in L 2 (R d , dx) tend to the operator −∆ + m in the norm resolvent sense, as ε tends to zero. If d ≤ 3 and a sequence (µ n) of finite real-valued Radon measures on R d converges to the finite real-valued Radon measure m weakly and, in addition, sup n∈N µ ± n (R d) < ∞, then the o...

We prove two limit relations between Schrödinger operators perturbed by measures. First, weak convergence of finite real-valued Radon measures µ n −→ m implies that the operators −∆ + ε 2 ∆ 2 + µ n in L 2 (R d , dx) converge to −∆ + ε 2 ∆ 2 + m in the norm resolvent sense, provided d ≤ 3. Second, for a large family, including the Kato class, of real-valued Radon measures m, the operators −∆ + ε...

‎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...

$top$-filters can be used to define $top$-convergence spaces in the lattice-valued context. Connections between $top$-convergence spaces and lattice-valued convergence spaces are given. Regularity of a $top$-convergence space has recently been defined and studied by Fang and Yue. An equivalent characterization is given in the present work in terms of convergence of closures of $top$-filters.  M...