Impact of [0,1]-valued weights and weighted aggregation operators for possibilistic truth values

Author

Bronselaer, Antoon ; Tré, Guy De

Author_Institution

Dept. of Telecommun. & Inf. Process., Ghent Univ., Ghent

fYear

2008

Firstpage

1

Lastpage

6

Abstract

Possibilistic truth values are an elegant tool to model and reason about uncertainty concerning the (Boolean) truth value of propositions. In the framework of possibilistic truth values, aggregation operators to combine uncertainty are essential in order to make reasoning possible. This paper introduces new conjunctive and disjunctive transformations for possibilistic truth values, which are necessary to create weighted aggregation operators. Existing transformation techniques are either to strict, or they do not guarantee the normalization condition of possibility theory. The novel technique offers a best of two worlds.

Keywords

Boolean functions; possibility theory; Boolean truth value; [0,1]-valued weights; possibilistic truth values; possibility theory; weighted aggregation operators; Constraint theory; Databases; Fuzzy sets; Information processing; Information retrieval; Possibility theory; Tree data structures; Uncertainty;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Information Processing Society, 2008. NAFIPS 2008. Annual Meeting of the North American

Conference_Location

New York City, NY

Print_ISBN

978-1-4244-2351-4

Electronic_ISBN

978-1-4244-2352-1

Type

conf

DOI

10.1109/NAFIPS.2008.4531231

Filename

4531231