On using type-1 fuzzy set mathematics to derive interval type-2 fuzzy logic systems

In this paper, we demonstrate that it is unnecessary to take the route from general type-2 fuzzy set to interval type-2 fuzzy set, and that all of the results that are needed to implement an interval type-2 fuzzy logic system can be obtained using type-1 fuzzy set mathematics. As such, this paper makes an interval type-2 fuzzy logic system much more accessible to the fuzzy logic community, and we can now develop an interval type-2 fuzzy logic system in a much more straightforward way.