TY - JOUR
ID -
TI - y – algebra of Sets and Some of its Properties
AU - Ibrahim S. Ahmed
AU - Hassan H. Ebrahim
AU - Ali Al-Fayadh
PY - 2022
VL - 63
IS - 11
SP - 4918
EP - 4927
JO - Iraqi Journal of Science المجلة العراقية للعلوم
SN - 00672904 23121637
AB -
The main objective of this work is to generalize the concept of fuzzy –algebraby introducing the notion of fuzzy –algebra. Characterization and examples of theproposed generalization are presented, as well as several different properties offuzzy –algebra are proven. Furthermore, the relationship between fuzzy –algebraand fuzzy algebra is studied, where it is shown that the fuzzy –algebra is ageneralization of fuzzy algebra too. In addition, the notion of restriction, as animportant property in the study of measure theory, is studied as well. Manyproperties of restriction of a nonempty family of fuzzy subsets of fuzzy power setare investigated and it is shown that the restriction of fuzzy –algebra is fuzzy–algebra too.
ER -