On the Inclusion Properties of Interval Multiplication: A Diagrammatic Study

Authors: Kulpa Z.¹; Markov S.²

Source: Bit Numerical Mathematics, Volume 43, Number 4, December 2003 , pp. 791-810(20)

Publisher: Springer

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Abstract:

Certain algebraic properties of familiar (set-theoretic) interval multiplication are studied diagrammatically. The centred interval multiplication operations (the long known outward multiplication and the newly proposed inward one) are defined and studied diagrammatically in some detail, especially with respect to inclusion isotonicity.

Keywords: interval arithmetic; midpoint-radius coordinates; inclusion isotonicity; diagrammatic representation; interval diagrams; interval multiplication; centred interval multiplication

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:BITN.0000009960.43847.53

Affiliations: 1: Institute of Fundamental Technological Research, Polish Academy of Sciences, ul. Sacute wi eogon tokrzyska 21, PL-00-049 Warsaw, Poland., Email: zkulpa@ippt.gov.pl wi eogon tokrzyska 21, PL-00-049 Warsaw, Poland., Email: zkulpa@ippt.gov.pl "> 2: Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, “Acad. G. Bonchev” st., block 8, BG-1113 Sofia, Bulgaria., Email: smarkov@bio.bas.bg