@article {
author = {Haddadi, M.},
title = {Fuzzy Acts over Fuzzy Semigroups and Sheaves},
journal = {Iranian Journal of Fuzzy Systems},
volume = {11},
number = {4},
pages = {61-73},
year = {2014},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2014.1624},
abstract = {lthough fuzzy set theory and sheaf theory have been developed and studied independently, Ulrich Hohle shows that a large part of fuzzy set theory is in fact a subfield of sheaf theory. Many authors have studied mathematical structures, in particular, algebraic structures, in both categories of these generalized (multi)sets. Using Hohle's idea, we show that for a (universal) algebra $A$, the set of fuzzy algebras over $A$ and the set of subalgebras of the constant sheaf of algebras over $A$ are order isomorphic. Then, among other things, we study the category of fuzzy acts over a fuzzy semigroup, so to say, with its universal algebraic as well as classic algebraic definitions.},
keywords = {fuzzy algebra,fuzzy act,sheaf},
url = {https://ijfs.usb.ac.ir/article_1624.html},
eprint = {https://ijfs.usb.ac.ir/article_1624_7915f082437e766d5e60d3f04c95a162.pdf}
}