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On the Inclusion Properties of Interval Multiplication: A Diagrammatic Study |
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| Authors: | Z Kulpa S Markov |
| Institution: | (1) Polish Academy of Sciences, Institute of Fundamental Technological Research, ul.  wi tokrzyska 21, PL-00-049 Warsaw, Poland;(2) Bulgarian Academy of Sciences, Institute of Mathematics and Informatics,  Acad. G. Bonchev st., block 8, BG-1113 Sofia, Bulgaria |
| 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.This revised version was published online in October 2005 with corrections to the Cover Date. |
| Keywords: | interval arithmetic midpoint-radius coordinates inclusion isotonicity diagrammatic representation interval diagrams interval multiplication centred interval multiplication |
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