Negation of a Probability Distribution: A Short Comment

The concept of negation is not new. In classical logic, negation operation transforms a proposition P to a proposition Q where Q signifies the opposition of P. When P is TRUE, then Q can be intuitively interpreted as being FALSE and vice versa. Also the negation of the proposition Q is again P which signifies that negation of the negation of a proposition is logically equivalent to the expression itself. But how to negate the happening of an uncertain event has been an area of concern for many researchers over the past few years. Negating an “UNCERTAIN EVENT” is difficult since intuitively it has more uncertainty inherent in it. In order to negate an uncertain event, Yager [1] suggested a transformation using the idea that any event whose outcome is not certain can be negated by supporting the occurrence of all other possible outcomes without any bias or prejudice for any particular outcome. In the present work, we have presented the various representations and interpretations of “Yager’s Negation” which gives an insight into the mathematical framework of the Yager’s model.