Wygralak, Maciej Rough sets and fuzzy sets - some remarks on interrelations. (English) Zbl 0664.04010 Fuzzy Sets Syst. 29, No. 2, 241-243 (1989). This short paper refers to two remarks given by Z. Pawlak [ibid. 17, 99-102 (1985; Zbl 0588.04004)] and disputes them. Any rough set can be expressed by means of a membership function \(U\to \{0, 0.5, 1\}\). We show that this representation can be extended to union and intersection. Cited in 13 Documents MSC: 03E99 Set theory 94D05 Fuzzy sets and logic (in connection with information, communication, or circuits theory) 03E72 Theory of fuzzy sets, etc. Keywords:rough set; membership function; union; intersection Citations:Zbl 0588.04004 PDFBibTeX XMLCite \textit{M. Wygralak}, Fuzzy Sets Syst. 29, No. 2, 241--243 (1989; Zbl 0664.04010) Full Text: DOI References: [1] Pawlak, Z., Rough sets, (Report No. 431 (1981), Polish Academy of Sciences, Institute of Computer Science) · Zbl 0604.90084 [2] Pawlak, Z., Rough sets, Internat. J. Inform. Comput. Sci., 11, 5, 341-356 (1982) · Zbl 0501.68053 [3] Pawlak, Z., Rough sets and fuzzy sets, Fuzzy Sets and Systems, 17, 99-102 (1985) · Zbl 0588.04004 [4] Wygralak, M., Some remarks on rough and fuzzy sets, BUSEFAL, 21, 43-49 (1985) · Zbl 0588.04003 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.