Branch Mathematics and Statistics Faculty and Staff Publications

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In this book authors name the interval [0, m); 2 ≤ m ≤ ∞ as mod interval. We have studied several properties about them but only here on wards in this book and forthcoming books the interval [0, m) will be termed as the mod real interval, [0, m)I as mod neutrosophic interval, [0,m)g; g2 = 0 as mod dual number interval, [0, m)h; h2 = h as mod special dual like number interval and [0, m)k, k2 = (m − 1) k as mod special quasi dual number interval. However there is only one real interval (∞, ∞) but there are infinitely many mod real intervals [0, m); 2 ≤ m ≤ ∞. The mod complex modulo finite integer interval (0, m) iF; iF2= (m − 1) does not satisfy any nice properly as that interval is not closed under product . Here we define mod transformations and discuss several interesting features about them. So chapter one of this book serves the purpose of only recalling these properties.


EuropaNova, Brussels



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mod real interval, mod neutrosophic interval, neutrosophic logic

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