MMN-2849
Fuzzy sub-hoops based on fuzzy points
R. A. Borzooei; M. Mohseni Takallo; M. Aaly Kologani; Y.B. Jun;Abstract
Using the belongs to relation (\in) and quasi-coincident with relation (q) between fuzzy points and fuzzy sets,
the notions of an (\in;\in)-fuzzy sub-hoop, an (\in;\in \vee q)-fuzzy sub-hoop and a (q;\in \vee q)-fuzzy sub-hoop are
introduced, and several properties are investigated. Characterizations of an (\in;\in)-fuzzy sub-hoop and an
(\in;\in \vee q)-fuzzy sub-hoop are displayed. Relations between an (\in;\in)-fuzzy sub-hoop, an (\in;\in \vee q)-fuzzy
sub-hoop and a (q;\in \vee q)-fuzzy sub-hoop are discussed. Conditions for a fuzzy set to be a (q;\in \vee q)-fuzzy
sub-hoop are considered, and condition for an (\in;\in \vee q)-fuzzy sub-hoop to be a (q;\in \vee q)-fuzzy sub-hoop
are provided.
Vol. 22 (2021), No. 1, pp. 91-106
DOI: 10.18514/MMN.2021.2849