Boolean fuzzy sets and possibility measures
B-possibility and B-necessity measures are defined as the qualitative analogues of the well known [0, 1]-measures. Their connection to B-fuzzy sets (Boolean fuzzy sets) is established. It is also proved that B-fuzzy sets define B-possibility and B-necessity measures by their membership function. We also introduce the possibility of a B-fuzzy set and prove that it is the extension of the possibility measure defined on crisp sets. This extension can be defined in two ways which are proved to be equivalent. (C) 2000 Elsevier Science B.V. All rights reserved.
fuzzy sets (kinds of) possibility theory logic boolean powers boolean valued models