<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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.</p></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.

The inclusion-exclusion principle without distributivity

Department of Mathematics, Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK–974-01 Banská Bystrica, SLOVAKIA

Tatra Mountains Mathematical Publications

{"article-title":"The inclusion-exclusion principle without distributivity"}

Inspired by the article of P. Grzegorzewski [The inclusion-exclusion principle for IF-events, Inform. Sci. 181 (2011), 536-546], who has worked two...

The inclusion-exclusion principle without distributivity

Published Online: Nov 13, 2012

Page range: 79 - 86

DOI: https://doi.org/10.2478/v10127-011-0038-9

This content is open access.