%0 Journal Article
%T POWERSET OPERATORS OF EXTENSIONAL FUZZY SETS
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Mockor, J.
%D 2018
%\ 04/29/2018
%V 15
%N 2
%P 143-163
%! POWERSET OPERATORS OF EXTENSIONAL FUZZY SETS
%K Extensional fuzzy sets
%K Powerset operators
%K Monads in categories
%R 10.22111/ijfs.2018.3765
%X Powerset structures of extensional fuzzy sets in sets with similarity relations are investigated. It is proved that extensional fuzzy sets have powerset structures which are powerset theories in the category of sets with similarity relations, and some of these powerset theories are defined also by algebraic theories (monads). Between Zadeh's fuzzy powerset theory and the classical powerset theory there exists a strong relation, which can be represented as a homomorphism. Analogical results are also proved for new powerset theories of extensional fuzzy sets.
%U http://ijfs.usb.ac.ir/article_3765_d621b021f19eac714bf7d16a69c7da75.pdf