A note on fuzzy power relations

Autor:	Austin Melton, K. Britz, C. Brink
Rok vydání:	1993
Předmět:	Discrete mathematics Fuzzy classification Mathematics::General Mathematics Logic Fuzzy set Fuzzy subalgebra Power set Fuzzy logic ComputingMethodologies_PATTERNRECOGNITION Artificial Intelligence Fuzzy mathematics Fuzzy number ComputingMethodologies_GENERAL Membership function Mathematics
Zdroj:	Fuzzy Sets and Systems. 54:115-117
ISSN:	0165-0114
DOI:	10.1016/0165-0114(93)90367-q
Popis:	The extention principle of fuzzy set theory provides a method to extend an operation on elements of a set Y to a power operation on fuzzy subsets of Y . We generalize this idea to obtain for any fuzzy relation π over Y , a fuzzy power relation π + over the fuzzy power set of Y . If ϱ is a metric, ϱ + generalizes the Hausdorff metric on the crisp power set of Y .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6d26a67322af36dc034c79adbc7611b6 https://doi.org/10.1016/0165-0114(93)90367-q Zobrazit plný text záznamu