Title of article :
ŁUKASIEWICZ FUZZY FILTERS IN HOOPS
Author/Authors :
Mohseni Takallo ، Mohammad Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University , Aaly Kologani ، Mona Hatef Higher Education Institute , Jun ، Young Bae Department of Mathematics Education - Gyeongsang National University , Borzooei ، Rajabali Department of Mathematics - Faculty of Mathematical Sciences - Shahid Beheshti University
Abstract :
By applying the concept of the Łukasiewicz fuzzy set to the filter in hoops, the Łukasiewicz fuzzy filter is introduced and its properties are investigated. The relationship between fuzzy filter and Łukasiewicz fuzzy filter is discussed. Conditions for the Łukasiewicz fuzzy set to be a Łukasiewicz fuzzy filter are provided, and characterizations of Łukasiewicz fuzzy filter are displayed. The conditions under which the three subsets, ∈-set, q-set, and O-set, will be filter are explored.
Keywords :
Łukasiewicz fuzzy set , Łukasiewicz fuzzy filter , ∈ , set , q , set , O , set
Journal title :
Journal of Algebraic Systems
Journal title :
Journal of Algebraic Systems
