Total extension of set functions and relations

Mark J. Wierman

Total extension of set functions and relations

Mark J. Wierman

Department of Computer Science, Design & Journalism

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

1 Scopus citations

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 language	English
Title of host publication	Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS
Publisher	IEEE
Pages	292-294
Number of pages	3
State	Published - 1997
Event	Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97 - Syracuse, NY, USA Duration: Sep 21 1997 → Sep 24 1997

Other

Other	Proceedings of the 1997 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'97
City	Syracuse, NY, USA
Period	9/21/97 → 9/24/97

All Science Journal Classification (ASJC) codes

Computer Science(all)
Media Technology

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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.",

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AB - 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.

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M3 - Conference contribution

AN - SCOPUS:0031387056

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BT - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

PB - IEEE

Y2 - 21 September 1997 through 24 September 1997

ER -

Total extension of set functions and relations

Abstract

Other

All Science Journal Classification (ASJC) codes

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