Elkano, Mikel; Sanz, Jose Antonio; Galar, Mikel; Pȩkala, Barbara; Bentkowska, Urszula; Bustince, Humberto Composition of interval-valued fuzzy relations using aggregation functions. (English) Zbl 1428.03062 Inf. Sci. 369, 690-703 (2016). Summary: In this paper we present the composition of interval-valued fuzzy relations using interval-valued aggregation functions. In particular, we propose a generalization of Zadeh’s composition rule, replacing the minimum by an interval-valued aggregation function. We analyze the preservation of different properties of interval-valued fuzzy relations by this new composition, and we include an illustrative example in approximate reasoning in order to justify our proposal. Cited in 5 Documents MSC: 03E72 Theory of fuzzy sets, etc. 68T37 Reasoning under uncertainty in the context of artificial intelligence Keywords:interval-valued fuzzy relations; composition of interval-valued fuzzy relations; aggregation function PDFBibTeX XMLCite \textit{M. 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