Open AccessInterval value fuzzy hyper AT-algebras
Author(s) -
Saba Hussein Ali,
Fatema F. Kareem,
Areej Tawfeeq
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1879/3/032021
Subject(s) - mathematics , fuzzy logic , value (mathematics) , pure mathematics , connection (principal bundle) , interval (graph theory) , algebra over a field , set (abstract data type) , discrete mathematics , computer science , combinatorics , artificial intelligence , statistics , geometry , programming language
The aim of this work is to a connection between two concepts which are an interval value fuzzy set and a hyper AT-algebra. Also, some properties of these concepts are found. The notions of IVF hyper AT-subalgebras, IVF hyper ideals and IVF hyper AT-ideals are defined. Then IVF (weak, strong) hyper ideals and IVF (weak, strong) hyper AT-ideals are discussed. After that, some relations among these ideals are presented and some interesting theorems are proved.