T -similarity of fuzzy relations on a complete residuated lattice and its algebraic structures
Guangji Yu, Xiaoyun Wu, Guoen Xia · Journal of Intelligent & Fuzzy Systems · 2017
This paper studies T -similarity of L -fuzzy relations and its algebraic structures where L is a complete residuated lattice. L -fuzzy topologies induced by L -fuzzy rough approximation operators are investigated and T -similarity of L -fuzzy relations is first introduced. Next, a characteristic condition for L -fuzzy relations to be T -transitive is established. Finally, algebraic structures on T -similarity of L -fuzzy relations are obtained and an example is given in order to illustrate the practical significance and possible applications of the proposed concepts.