ŁUKASIEWICZ FUZZY FILTERS IN HOOPS

Author(s):

Mohammad Mohseni Takallo , Mona Aaly Kologani , Young Bae Jun , Rajab Ali Borzooei *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

By applying the concept of the Lukasiewicz fuzzy set to the filter in hoops, the Lukasiewicz fuzzy filter is introduced and its properties are investigated.The relationship between fuzzy filter and Lukasiewicz fuzzy filter is discussed.Conditions for the Lukasiewicz fuzzy set to be a Lukasiewicz fuzzy filter are provided, andcharacterizations of Lukasiewicz fuzzy filter are displayed.The conditions under which the three subsets, $\in$-set, q-set, and O-set, will be filter are explored.

Keywords:

Lukasiewicz fuzzy set , Lukasiewicz fuzzy filter , $ , in$-set , q-set , O-set

Language:
English
Published:
Journal of Algebraic Systems, Volume:12 Issue: 1, Summer-Autumn 2024
Pages:
1 to 20
https://magiran.com/p2600805  
مقالات دیگری از این نویسنده (گان)