TY - JOUR
ID - 1624
TI - Fuzzy Acts over Fuzzy Semigroups and Sheaves
JO - Iranian Journal of Fuzzy Systems
JA - IJFS
LA - en
SN - 1735-0654
AU - Haddadi, M.
AD - Department of Mathematics, Statistics and Computer Sciences, Semnan
University, Semnan, Iran
Y1 - 2014
PY - 2014
VL - 11
IS - 4
SP - 61
EP - 73
KW - fuzzy algebra
KW - fuzzy act
KW - sheaf
DO - 10.22111/ijfs.2014.1624
N2 - 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.
UR - https://ijfs.usb.ac.ir/article_1624.html
L1 - https://ijfs.usb.ac.ir/article_1624_7915f082437e766d5e60d3f04c95a162.pdf
ER -