Some p, q-cubic quasi-rung orthopair fuzzy operators for multi-attribute decision-making

This paper aims to support decision-makers improve their ability to accurately capture and represent their judgment in a wide range of situations. To do this, we propose a new type of fuzzy set called a p, q-cubic quasi-rung orthopair fuzzy set ( p, q-CQOFS). The p, q-CQOFS allows for a more flexible and detailed expression of incomplete information through the use of an additional parameter. The paper describes the concept of p, q-CQOFS and its relationship to other types of fuzzy sets, introduces score and accuracy functions for p, q-CQOFS and analyzes some of its mathematical properties, defines the Hamming distance measure between two p, q-CQOFSs and examines some of its important properties, investigates the basic operations of p, q-CQOFSs and extends these laws to aggregation operators, and introduces weighted averaging and geometric aggregation operators for combining p, q-cubic quasi-rung orthopair fuzzy data.