An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an uncertain distance threshold of a set of prototypical elements. These neighbourhoods are then generalised to compound fuzzy descriptions generated a...

In this paper, the upper bounds for a multivariable fuzzy logic controller under G/Sdel's implication are investigated and a generalized multivariable structure of fuzzy controller are proposed. Contribution operators, such as max (v) operation, ensure the greatest upper bound as well as the least upper bound. Conditions which determine an appropriate upper bound are also determined. This theor...