Generalized conjunction/disjunction

Authors:
Jozo J. Dujmović;Henrik Legind Larsen
Affiliations:
Department of Computer Science, San Francisco State University, 1600 Holloway Ave, San Francisco, CA 94132, USA;Department of Computer Science, Aalborg University Esbjerg, Niels Bohrs Vej 8, DK 6700 Esbjerg, Denmark
Venue:
International Journal of Approximate Reasoning
Year:
2007

Citing 5
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Abstract

The generalized conjunction/disjunction function (GCD) is a continuous logic function of two or more variables that integrates conjunctive and disjunctive properties in a single function. It is used as a mathematical model of simultaneity and replaceability of inputs. Special cases of this function include the full (pure) conjunction, the partial conjunction, the arithmetic mean, the partial disjunction, and the full (pure) disjunction. GCD enables a continuous transition from the full conjunction to the full disjunction, using a parameter that specifies a desired level of conjunction (andness) or disjunction (orness). In this paper, we investigate and compare various versions of GCD and other mathematical models of simultaneity and replaceability that are applicable in the areas of system evaluation, and information retrieval.