Generalized Lower and Upper Approximations in Quantales

Qimei Xiao, Qingguo Li · Journal of Applied Mathematics · 2012

We introduce the concepts of set‐valued homomorphism and strong set‐valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively. The properties of generalized lower and upper approximations, constructed by a set‐valued mapping, are discussed.

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