A development of possibility theory

Abstract

It is proposed to use a model of experiment with two measures (of possibility and necessity) to describe fuzzy events. A theorem on the continuation of measure to a Boolean is proved. The basic dual properties of measures are considered.

Convergence of sequences of fuzzy perceptive elements defined on different possibility spaces

“…In [1][2][3], it is proposed to use the possibility theory to model indefinitenesses. In [4], the concept of fuzzy perceptive elements generalizing fuzzy elements of the L. A. Zadeh theory is introduced.…”