TY - JOUR A2 - Solovjovs, Sergejs AU - Derseh, Beza Lamesgin AU - Alaba, Berhanu Assaye AU - Wondifraw, Yohannes Gedamu PY - 2022 DA - 2022/09/23 TI - t-Intuitionistic Fuzzy Structures on PMS-Ideals of a PMS-Algebra SP - 5101293 VL - 2022 AB - In this article, we apply the concept of a t-intuitionistic fuzzy set to PMS-ideals in PMS-algebras. The notion of the t-intuitionistic fuzzy PMS-ideal of PMS-algebra is introduced, and several related properties are studied. The relationships between a t-intuitionistic fuzzy PMS-ideal and a t-intuitionistic fuzzy PMS-subalgebra of a PMS-algebra, as well as the relationships between an intuitionistic fuzzy PMS-ideal and a t-intuitionistic fuzzy PMS-ideal are discussed in detail. A condition for an intuitionistic fuzzy set to be a t-intuitionistic fuzzy PMS-ideal is provided. The t-intuitionistic fuzzy PMS-ideals of PMS-algebra are described using their α,β level cuts. The homomorphism of a t-intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are explored. The Cartesian product of any two t-intuitionistic fuzzy PMS-ideals is discussed, and some related results are derived. The Cartesian product of the t-intuitionistic fuzzy PMS-ideals is also characterized using its α,β level cuts. The strongest t-intuitionistic fuzzy PMS-relation in a PMS-algebra is defined. Finally, the relationships between the strongest t-intuitionistic fuzzy PMS-relation and t-intuitionistic fuzzy PMS-ideal are studied. SN - 0161-1712 UR - https://doi.org/10.1155/2022/5101293 DO - 10.1155/2022/5101293 JF - International Journal of Mathematics and Mathematical Sciences PB - Hindawi KW - ER -