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(15)Considering that (A(a), R(a)) can be a lattice, we now have that (x, xay) R(a) and (y, xay) R(a); that's, a ï¿½ï¿½(R(x, xay)) and also a ï¿½ï¿½(R(y, xay)). This read more...

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Definition 3 (see [6]) ï¿½ï¿½Let A LX and B LY. Define an L-fuzzy set A ï¿½ï¿½ B on X ï¿½ï¿½ Y by(Aï¿½ï¿½B)(x,y)=A(x)ï¿½ï¿½B(y),??(x,y)ï¿½ï¿½Xï¿½ï¿½Y.(2)A ï¿½ï¿½ B is called the solution read more...

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This growth from the magnitude can be a noteworthy indicator of the crack growth or one more fault which confirms comparable final results cited by prior scientific studies. Microwave read more...

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(seven)Thus xby is supremum with respect to R(a) of x, y in a(a). Therefore (A(a), R(a)) can be a lattice.(six)(one). Let x, y A(0) as well as a P(L), A(x)ï¿½ï¿½A(y)a. Then A(x)a, A(y)a; that is certainly, x, y A(a). From (six) there exist xay read more...

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Definition 29 ï¿½ï¿½Let L be a totally distributive lattice, allow (X, R) be a lattice, and allow R be a relation on X, A LX, if for all x, y X, there exist xy, xï¿½ï¿½y X such that(A1)A(xy) ï¿½ï¿½ A(x)ï¿½ï¿½A(y),(A2)A(xï¿½ï¿½y) ï¿½ï¿½ A(x)ï¿½ï read more...

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Illustration 15 (see [10]) ï¿½ï¿½Let X = x, y, z, L = 1, a, b, c[0, 1/2], wherever x, y, andz are different and [0, 1/2] is surely an interval. We define the buy in L as stick to.For all read more...

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(15)Since (A(a), R(a)) is usually a lattice, we've got that (x, xay) R(a) and (y, xay) R(a); that is definitely, a ï¿½ï¿½(R(x, xay)) and also a ï¿½ï¿½(R(y, xay)). This read more...