Total extension of set functions and relations

Mark J. Wierman

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

Zadeh's extension principle is applicable to functions defined upon elements of a set. It can be generalized to relations. Any crisp relation can be extended to a function on sets using crisp set theory. Two canonical methods for extending relations upon sets are presented. Equivalence between different extensions is studied. So are cutworthy and strong cutworthy extensions.

Original languageEnglish
Title of host publicationAnnual Conference of the North American Fuzzy Information Processing Society - NAFIPS
PublisherIEEE
Pages292-294
Number of pages3
StatePublished - 1997
EventProceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97 - Syracuse, NY, USA
Duration: Sep 21 1997Sep 24 1997

Other

OtherProceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97
CitySyracuse, NY, USA
Period9/21/979/24/97

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Set theory

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Media Technology

Cite this

Wierman, M. J. (1997). Total extension of set functions and relations. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS (pp. 292-294). IEEE.

Total extension of set functions and relations. / Wierman, Mark J.

Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, 1997. p. 292-294.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Wierman, MJ 1997, Total extension of set functions and relations. in Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, pp. 292-294, Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97, Syracuse, NY, USA, 9/21/97.
Wierman MJ. Total extension of set functions and relations. In Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE. 1997. p. 292-294
Wierman, Mark J. / Total extension of set functions and relations. Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS. IEEE, 1997. pp. 292-294
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