In this paper we introduced direct product of intuitionistic fuzzy multigroups of G under norms(IF M SN (G)) and we prove that it will be also IF M SN (G). Next we shall study some important properties and theorems for them. On the other hand we shall give the definition of the identity element, strong upper- lower and weak upper- lowerof them and study the main theorem for this. We shall also give new results on this subject. Also we define the concepts of conjugate and commutative of IF M SN (G) and investigate them under direct product. Finally, we organize them under group homomorphisms and we prove that the image and preimage of direct product of IF M SN (G) will be also IF M SN (G).
Rasuli,R. and Shomali,A. (2023). DIRECT PRODUCT OF IF M SN (G). Mathematical Analysis and Convex Optimization, 4(2), 61-79. doi: 10.22034/maco.4.2.7
MLA
Rasuli,R. , and Shomali,A. . "DIRECT PRODUCT OF IF M SN (G)", Mathematical Analysis and Convex Optimization, 4, 2, 2023, 61-79. doi: 10.22034/maco.4.2.7
HARVARD
Rasuli R., Shomali A. (2023). 'DIRECT PRODUCT OF IF M SN (G)', Mathematical Analysis and Convex Optimization, 4(2), pp. 61-79. doi: 10.22034/maco.4.2.7
CHICAGO
R. Rasuli and A. Shomali, "DIRECT PRODUCT OF IF M SN (G)," Mathematical Analysis and Convex Optimization, 4 2 (2023): 61-79, doi: 10.22034/maco.4.2.7
VANCOUVER
Rasuli R., Shomali A. DIRECT PRODUCT OF IF M SN (G). MACO, 2023; 4(2): 61-79. doi: 10.22034/maco.4.2.7
Mathematical Analysis and Convex Optimization