Transitive Closure of Interval-valued Fuzzy Relations

Ramón González-del-Campo, Luis Garmendia, Jordi Recasens · International Journal of Computational Intelligence Systems · 2013

In this paper are introduced some concepts of interval-valued fuzzy relations and some of their properties: reflexivity, symmetry, T-transitivity, composition and local reflexivity.The existence and uniqueness of T-transitive closure of interval-valued fuzzy relations is proved.An algorithm to compute the T-transitive closure of finite interval-valued fuzzy relations is showed.Some properties and some examples is given for t-representable and t-pseudo representable generalized t-norms.

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