TY - JOUR
ID - 22015
TI - Dynamic equivalence relation on the fuzzy measure algebras
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Ghasemkhani, Roya
AU - Mohammadi, Uosef
AD - Department of Mathematics, Faculty of Science, University of Jiroft, Jiroft, Iran.
Y1 - 2017
PY - 2017
VL - 06
IS - 1
SP - 19
EP - 28
KW - Fuzzy measure algebra
KW - Dynamical system
KW - Equivalence relation
KW - Uniformly continuous
DO - 10.22130/scma.2017.22015
N2 - The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion ofÂ dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is complete.
UR - http://scma.maragheh.ac.ir/article_22015.html
L1 - http://scma.maragheh.ac.ir/article_22015_386a0c0212ed48b855025307bda3aa1e.pdf
ER -