Open AccessIntuitionistic Anti Fuzzy Normal Subrings over Normed Rings
Author(s) -
Nour Abed Alhaleem,
Abd Ghafur Ahmad
Publication year - 2022
Publication title -
sains malaysiana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.251
H-Index - 29
eISSN - 2735-0118
pISSN - 0126-6039
DOI - 10.17576/jsm-2022-5102-24
Subject(s) - mathematics , complement (music) , pure mathematics , product (mathematics) , fuzzy logic , intersection (aeronautics) , algebra over a field , discrete mathematics , computer science , artificial intelligence , biochemistry , chemistry , geometry , complementation , engineering , gene , phenotype , aerospace engineering
In this paper, we initiate the notion of intuitionistic anti fuzzy normed normal subrings and generalize various related properties. We extend the notion of intuitionistic fuzzy normed subrings to intuitionistic anti fuzzy normed normal subrings. Further, we study the algebraic nature of direct product of intuitionistic anti fuzzy normed normal subrings and establish and examine some imperative properties of such products. We also provide some essential operations specially subset, complement and intersection relating to direct product of intuitionistic anti fuzzy normed normal subrings. Then, we generalize the relation between the intuitionistic characteristic function and direct product of intuitionistic anti fuzzy normed normal subrings.