The inclusion-exclusion principle without distributivity

Kelemenová, Jana

doi:10.2478/v10127-011-0038-9

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The inclusion-exclusion principle without distributivity

Tatra Mountains Mathematical Publications

Volume 50 (2011): Issue 1 (December 2011)

By: Jana Kelemenová

Open Access

|Nov 2012

Abstract

Inspired by the article of P. Grzegorzewski [The inclusion-exclusion principle for IF-events, Inform. Sci. 181 (2011), 536-546], who has worked two generalizations of the inclusion-exclusion principle for IF-events, a generalization of the inclusion-exclusion principle for mappings with values in semigroups is presented here. The main idea is in replacing the distributivity and idempotency laws, by one new axiom.

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