Gradual Evaluation of Granules of a Fuzzy Relation: R-related Sets

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Abstract

A fuzzy relation R between elements from two finite universes is considered. Granules of R created by pairs of subsets from the two universes are evaluated. A rough extension of R based on a generalized rough set model is proposed. This extension allows us to introduce the notions of R-related sets, strongly R-related sets and R-compatible sets. R-related sets can be further used for evaluations of R-relationship between partitions of elements from two related universes. © Springer-Verlag Berlin Heidelberg 2010.

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Bodjanova, S., & Kalina, M. (2010). Gradual Evaluation of Granules of a Fuzzy Relation: R-related Sets. In Communications in Computer and Information Science (Vol. 80 PART 1, pp. 268–277). https://doi.org/10.1007/978-3-642-14055-6_28

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