In this paper, we investigate the Hyers-Ulam stability of the orthogonally  cubic equation and  Pexiderized cubic equation [f(kx+y)+f(kx-y)=g(x+y)+g(x-y)+frac{2}{k}g(kx)-2g(x),]in multi-normed spaces by the direct method and the fixed point method. Moreover, we prove the Hyers-Ulam stability of the  $2$-variables cubic  equation [ f(2x+y,2z+t)+f(2x-y,2z-t) =2...

We generalize the concept of fuzzy point, intutionistic fuzzy point, cubic point by introducing the concept of neutrosophic cubic point. Based on neutrosophic cubic point we generalized the idea of ( ; )-fuzzy ideals, ( ; )-intutionistic fuzzy ideals, ( ; )-cubic ideals ideals by initiating the new concept of neutrosophic Cubic ( ; )-ideals. Particularly we give the idea of neutrosophic cubic (...

the stabilized zirconia with different cu contents synthesized via sol-gel method. the samples were prepared by hydrolysis and condensation of orgnomatelic sol. after that the result gels were dried at 80 °c and then calcined at various temperatures.  ِ the differential thermal analysis (dta), x-ray diffraction (xrd), field emission scanning electronic microscopy (fesem) and transmission electro...

In this paper we extend fuzzy analytic hierarchy process into neutrosophic cubic environment. The neutrosophic cubic analytic hierarchy process can be used to manage more complex problems when the decision makers has a number of uncertainty, assigning preferences values to the considered object. We also define the concept of triangular neutrosophic cubic numbers and their operations laws. The a...

Cubic or 3-regular graphs are (simple) graphs where each vertex has degree 3. The class of cubic graphs is especially interesting for mathematical applications because for various important open problems in graph theory cubic graphs are the smallest or simplest possible potential counterexamples. In chemistry, cubic graphs serve as models for the Nobel Prize winning fullerenes [14] or, more gen...