Tiwari, S. P.; Perfilieva, I.; Singh, A. P. Generalized residuated lattices based \(F\)-transform. (English) Zbl 1398.03219 Iran. J. Fuzzy Syst. 15, No. 2, 165-182 (2018). Summary: The aim of the present work is to study the \(F\)-transform over a generalized residuated lattice. We discuss the properties that are common with the \(F\)-transform over a residuated lattice. We show that the \(F^{\uparrow}\)-transform can be used in establishing a fuzzy (pre)order on the set of fuzzy sets. Cited in 3 Documents MSC: 03G25 Other algebras related to logic 06B05 Structure theory of lattices Keywords:generalized residuated lattice; fuzzy partition; direct \(F\)-transform; inverse \(F\)-transform PDFBibTeX XMLCite \textit{S. P. Tiwari} et al., Iran. J. Fuzzy Syst. 15, No. 2, 165--182 (2018; Zbl 1398.03219) Full Text: DOI References: [1] A. A. Abdel-Hamid and N. N. Morsi, Associatively tied implications, Fuzzy Sets and Systems, 136(3) (2003), 291-311. · Zbl 1042.03021 [2] K. Blount and C. 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