Chapter 1

Interval Arithematic

Abstract

Uncertainties play important role in the experimentation and modeling of various engineering and science problems. In recent years, they have been an emerging area of research across the globe. Actually, these uncertainties are undesirable and should be avoided if possible. Usually, these uncertainties are imprecise, nonspecific, and vague. Moreover, inconsistent data, variables, and constants also make a problem uncertain (Hanss, 2005; Moore et al., 2014; Nayak and Chakraverty, 2015). There are various approaches, viz. probabilistic, interval, and fuzzy theory, to understand these uncertainties. But due to nonspecificity of distribution of the uncertainness, interval theory is becoming a popular tool to handle ...

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