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

Abstract

AbstractThis 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 $$p,q$$ p , q -cubic quasi-rung orthopair fuzzy set ($$p,q$$ p , q -CQOFS). The $$p,q$$ 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 $$p,q$$ p , q -CQOFS and its relationship to other types of fuzzy sets, introduces score and accuracy functions for $$p,q$$ p , q -CQOFS and analyzes some of its mathematical properties, defines the Hamming distance measure between two $$p,q$$ p , q -CQOFSs and examines some of its important properties, investigates the basic operations of $$p,q$$ p , q -CQOFSs and extends these laws to aggregation operators, and introduces weighted averaging and geometric aggregation operators for combining $$p,q$$ p , q -cubic quasi-rung orthopair fuzzy data.