Title :
Total extension of set functions and relations
Author :
Wierman, Mark J.
Author_Institution :
Creighton Univ., Omaha, NE, USA
Abstract :
Zadeh´s (1965) 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
Keywords :
functions; fuzzy set theory; crisp set theory; cutworthy relations; extension principle; fuzzy relations; fuzzy set theory; set functions; set relations; strong cutworthy; Argon; Fuzzy sets; Set theory;
Conference_Titel :
Fuzzy Information Processing Society, 1997. NAFIPS '97., 1997 Annual Meeting of the North American
Conference_Location :
Syracuse, NY
Print_ISBN :
0-7803-4078-7
DOI :
10.1109/NAFIPS.1997.624054
