Our aim is to help build a machine that can reduce the possibility of mishaps in navigation to zero. For that devise a new system of numbers, in which the real numbers are represented on the y-axis and complex numbers on the x-axis. Inside such a system, we incorporate the equivalent Ideal Fuzzy Logic that can be used by the machine to predict and avoid mishaps.

Natural processes are vastly emergent phenomena and each new result is always the source of new emergence. To cope with nonlinear control problems, binary logic is no longer sufficient. What we need is an ideal Fuzzy Logic that not only can process complex numbers with utmost efficiency, but also ‘thinks’ in terms of complex numbers. Such a system also needs to be as simple as possible for us and for machines to work with.

A perfectly efficient navigation system will be able to receive inputs that have all sets of possible values. These values may be real or imaginary. Such a system will be particularly efficient in dealing with imaginary numbers and will be able to reduce the probability of a mishap to zero. A logic system such as this may take us a long way in designing vastly improved computers for the future.

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