In this paper, characterizations of the degree to which a mapping $mathcal{T} : L^{X}longrightarrow M$ is an $(L, M)$-fuzzy topology are studied in detail.What is more, the degree to which an $L$-subset is an $L$-open set with respect to $mathcal{T}$ is introduced.Based on that, the degrees to which a mapping $f: Xlongrightarrow Y$ is continuous,open, closed or a quotient mapping with respect t...

State-of-the-art sensors of force, motion and magnetic fields have reached the sensitivity where quantum noise meter is significant or even dominant. In particular, best optomechanical devices has Standard Quantum Limit (SQL), which directly follows from Heisenberg uncertainty relation corresponds to balancing measurement imprecision perturbation probe by back action meter. The SQL not truly fu...

Recently two new degree concepts have been defined in graph theory: ev-degree and ve-degree. Also the evdegree and ve-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that ev-degree and ve-degree topological indices can be used as possible tools in QSPR researches . In this paper we d...

The molecular topology of a graph is described by topological indices, which are numerical measures. In theoretical chemistry, indices quantities that used to represent the networks. These can be calculate several physical and chemical properties compounds, such as boiling point, entropy, heat generation, vaporization enthalpy. Graph theory comes in handy when looking at link between certain so...