Let X = N x N, and the fuzzy sets: 1 Ha(x) : 1 + 10(x - 2) 1 Hg(y): 1+ 2y? Let the mappings z = f(x, y), f: N N N be the following quadric surfaces 2 (a) ,x E A, y E B. z = + 2 x? y? z2 (b) 15 (c) 2 y2 + 12z? = x? Sketch the surfaces and determine the image f(A x B) by the extension principle, for each of the above. 8.