Open AccessFuzzy Soc-Semi-Prime Sub-Modules
Author(s) -
Saad S. Merie,
Hatam Yahya Khalf
Publication year - 2022
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/35.1.2804
Subject(s) - prime (order theory) , mathematics , fuzzy logic , intersection (aeronautics) , generalization , algebra over a field , fuzzy set , relation (database) , fuzzy subalgebra , fuzzy number , discrete mathematics , pure mathematics , algorithm , computer science , data mining , artificial intelligence , combinatorics , mathematical analysis , engineering , aerospace engineering
In this paper, we study a new concept of fuzzy sub-module, called fuzzy socle semi-prime sub-module that is a generalization the concept of semi-prime fuzzy sub-module and fuzzy of approximately semi-prime sub-module in the ordinary sense. This leads us to introduce level property which studies the relation between the ordinary and fuzzy sense of approximately semi-prime sub-module. Also, some of its characteristics and notions such as the intersection, image and external direct sum of fuzzy socle semi-prime sub-modules are introduced. Furthermore, the relation between the fuzzy socle semi-prime sub-module and other types of fuzzy sub-module presented.