The article aims to unit regular LA-semi-group, with the spot over a brands and application for fuzzy ideal with this algebraic mason. On unique kinds for fuzzy ideal ready in these semi-group. A core aims for our work are to given Fu. Le.id., Fu. Ri.id, and Fu. Qu. Id. With a realm for UR- LA-semi-group and we obtains for η is a Fu. (1,2) Id. In δ of the U- reg.LA-semi group δ with a Left Identity, then it is also a Fu. Qu.-Id. in δ., underscoring their importance in the expansive theory of LA-semi-group. A study deals with a attributes with connections between Fu. Id., such as Fu. Int. Id., Fu. Id., Fu. bi-Id., and Fu. (1,2) Id., UR- LA-semi-group and A fuzzy (1,2) ideal in δ is η iff it exists in a U- reg. LA-semi group δ with left identity. Using employing rigorous theoretical analysis and mathematical proof, the work given relation among diverse Fu. Id. With reveal their implication of algebraic structure for UR- LA-semi-group. This analysis given a behavior and nature for fuzzy structure in the field of the algebra. The results holds deep theoretical significance, sang our understanding for a field in Fu. Id. Plays in a algebraic scape for UR- LA-semi-group. This study is not only sustains the theoretical for fuzzy algebra but also opens new results tract of future work in the related field such as If η is fu.- \({\mathcal{B}}\) -id. of δ, then it is equivalent to being a fu. (1, 2) ideal in δ. Additionally, the study discuss and reforms the characteristics and connections between the fuzzy (1,2), fuzzy-ε, fuzzy-ideal, and fuzzy- \({\mathcal{B}}\) -ideal.