Open AccessFuzzy Soc-T-ABSO Sub-Modules
Author(s) -
Saad S. Marie,
Hatam Y. Khalaf
Publication year - 2022
Publication title -
iraqi journal for computer science and mathematics
Language(s) - English
Resource type - Journals
eISSN - 2958-0544
pISSN - 2788-7421
DOI - 10.52866/ijcsm.2022.01.01.014
Subject(s) - fuzzy logic , intersection (aeronautics) , computer science , image (mathematics) , relation (database) , mathematics , algorithm , algebra over a field , pure mathematics , data mining , artificial intelligence , engineering , aerospace engineering
This research analyses the correlation that exists between fuzzy T-ABSO and fuzzy socle. To answerthis question, we define a new concept called, fuzzy socle T-ABSO submodules. Results showed many propertiesthat satisfied the new notion. In addition, we applied some algebra operations and found the relationship betweenfuzzy T-ABSO and fuzzy socle -T-ABSO. We also investigated the structure of fuzzy socle T-ABSO sub- modules ofa module under fuzzy direct sum, homomorphic image and intersection. Moreover, the relation between fuzzy socleT-ABSO sub-module and other types of fuzzy sub-module was presented. The implications of this study could beused to define new concepts that depend on fuzzy socle T-ABSO concepts