Rough Fuzzy Relation on Two Universal Sets
Xuan Thao Nguyen, Van‐Dinh Nguyen, Doan Dong Nguyen · International Journal of Intelligent Systems and Applications · 2014
Fuzzy set theory was introduced by L.A. Zadeh in 1965.Immediately, it has many applications in practice and in building databases, one of which is the construction of a fuzzy relational database based on similar relationship.The study of cases of fuzzy relations in different environments will help us understand its applications.In this paper, the rough fuzzy relation on Cartesian product of two universe sets is defined, and then the algebraic properties of them, such as the max, min, and composition of two rough fuzzy relations are examined.Finally, reflexive, αreflexive, symmetric and transitive rough fuzzy relations on two universe sets are also defined.