Boolean fuzzy sets and possibility measures

✍ Scribed by George Markakis

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 97 KB
• Volume: 110
• Category: Article
• ISSN: 0165-0114
• DOI: 10.1016/s0165-0114(98)00072-4

✦ Synopsis

B-possibility and B-necessity measures are deÿned 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 deÿne 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 deÿned on crisp sets. This extension can be deÿned in two ways which are proved to be equivalent.