Boolean fuzzy logic and generalized capacities

Abstract

An extension principle for fuzzy logic is considered to obtain a Boolean logic able to manage incomplete and partially inconsistent information. Such a logic is strictly related with an extended notion of belief measure. This gives tools to design expert systems able to manage information probabilistic in nature.

Keywords:

• Fuzzy logic
• Extension principle
• Boolean logic
• Approximate reasoning
• Capacities

Notes

^†[email protected]

Loredana Biacino is an associated professor of Mathematical Analysis at the University of Napoli (Italy). Her interests are in fuzzy logic and capacity theory. She is the author of about 30 papers.

Giangiacomo Gerla is a full professor of computability theory at the University of Salerno (Italy). His interests are in fuzzy logic, fuzzy computability and point-free geometry. He is the author of about 90 papers.