Falling Shadow Theory with Applications in Hoops

Rajab Ali Borzooei; Gholam Reza Rezaei; Mona Aaly Kologhani; Young Bae Jun

doi:10.18778/0138-0680.2021.03

Bulletin of the Section of Logic (Sep 2021)

Falling Shadow Theory with Applications in Hoops

Rajab Ali Borzooei,
Gholam Reza Rezaei,
Mona Aaly Kologhani,
Young Bae Jun

Affiliations

Rajab Ali Borzooei: ORCiD; Shahid Beheshti University, Faculty of Mathematical Sciences, Department of Mathematics
Gholam Reza Rezaei: ORCiD; University of Sistan and Baluchestan, Department of Mathematics
Mona Aaly Kologhani: ORCiD; Hatef Higher Education Institute
Young Bae Jun: ORCiD; Gyeongsang National University, Department of Mathematics Education

DOI: https://doi.org/10.18778/0138-0680.2021.03
Journal volume & issue: Vol. 50, no. 3
pp. 337 – 353

Abstract

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The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions for a falling fuzzy subhoop to be a falling fuzzy filter are provided. Also conditions for a falling shadow of a random set to be a falling fuzzy filter are displayed.

Published in Bulletin of the Section of Logic

ISSN: 0138-0680 (Print); 2449-836X (Online)
Publisher: Lodz University Press
Country of publisher: Poland
LCC subjects: Philosophy. Psychology. Religion: Logic
Website: https://czasopisma.uni.lodz.pl/bulletin

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