Additivity, noninteraction, and semirings

M. J. Wierman

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Citation (Scopus)

Abstract

A very general model of a system representing information is presented. Under the assumptions that this model applies to product spaces and that information is not lost in the expansion to these product spaces we conclude that a semiring is the proper model for the algebra involved. Some indication of the nature of the information measures appropriate to the semiring are presented.

Original languageEnglish
Title of host publicationNAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages67-72
Number of pages6
Volume2003-January
ISBN (Electronic)0780379187, 9780780379183
DOIs
StatePublished - 2003
Event22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003 - Chicago, United States
Duration: Jul 24 2003 → Jul 26 2003

Other

Other22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003
CountryUnited States
CityChicago
Period7/24/03 → 7/26/03

Fingerprint

Semiring
Additivity
Product Space
Information Measure
Algebra
Information systems
Model

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Mathematics(all)

Cite this

Wierman, M. J. (2003). Additivity, noninteraction, and semirings. In NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings (Vol. 2003-January, pp. 67-72). [1226757] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/NAFIPS.2003.1226757

Additivity, noninteraction, and semirings. / Wierman, M. J.

NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings. Vol. 2003-January Institute of Electrical and Electronics Engineers Inc., 2003. p. 67-72 1226757.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Wierman, MJ 2003, Additivity, noninteraction, and semirings. in NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings. vol. 2003-January, 1226757, Institute of Electrical and Electronics Engineers Inc., pp. 67-72, 22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003, Chicago, United States, 7/24/03. https://doi.org/10.1109/NAFIPS.2003.1226757
Wierman MJ. Additivity, noninteraction, and semirings. In NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings. Vol. 2003-January. Institute of Electrical and Electronics Engineers Inc. 2003. p. 67-72. 1226757 https://doi.org/10.1109/NAFIPS.2003.1226757
Wierman, M. J. / Additivity, noninteraction, and semirings. NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings. Vol. 2003-January Institute of Electrical and Electronics Engineers Inc., 2003. pp. 67-72
@inproceedings{89747c3d26f2463dbef421a7864e5cb2,
title = "Additivity, noninteraction, and semirings",
abstract = "A very general model of a system representing information is presented. Under the assumptions that this model applies to product spaces and that information is not lost in the expansion to these product spaces we conclude that a semiring is the proper model for the algebra involved. Some indication of the nature of the information measures appropriate to the semiring are presented.",
author = "Wierman, {M. J.}",
year = "2003",
doi = "10.1109/NAFIPS.2003.1226757",
language = "English",
volume = "2003-January",
pages = "67--72",
booktitle = "NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
address = "United States",

}

TY - GEN

T1 - Additivity, noninteraction, and semirings

AU - Wierman, M. J.

PY - 2003

Y1 - 2003

N2 - A very general model of a system representing information is presented. Under the assumptions that this model applies to product spaces and that information is not lost in the expansion to these product spaces we conclude that a semiring is the proper model for the algebra involved. Some indication of the nature of the information measures appropriate to the semiring are presented.

AB - A very general model of a system representing information is presented. Under the assumptions that this model applies to product spaces and that information is not lost in the expansion to these product spaces we conclude that a semiring is the proper model for the algebra involved. Some indication of the nature of the information measures appropriate to the semiring are presented.

UR - http://www.scopus.com/inward/record.url?scp=84942574331&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84942574331&partnerID=8YFLogxK

U2 - 10.1109/NAFIPS.2003.1226757

DO - 10.1109/NAFIPS.2003.1226757

M3 - Conference contribution

AN - SCOPUS:84942574331

VL - 2003-January

SP - 67

EP - 72

BT - NAFIPS 2003 - 22nd International Conference of the North American Fuzzy Information Processing Society - NAFIPS Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Access to Document