Deschrijver, Glad; Kerre, Etienne E. On the relationship between some extensions of fuzzy set theory. (English) Zbl 1013.03065 Fuzzy Sets Syst. 133, No. 2, 227-235 (2003). The paper is an important analytical research paper on the relationship between intuitionistic fuzzy sets, L-fuzzy sets, L-intuitionistic fuzzy sets, interval-valued fuzzy sets and interval-valued intuitionistic fuzzy sets. Reviewer: Krassimir Atanassov (Sofia) Cited in 2 ReviewsCited in 199 Documents MSC: 03E72 Theory of fuzzy sets, etc. Keywords:intuitionistic fuzzy set; interval valued fuzzy set; interval valued intuitionistic fuzzy set; relationship between models; L-fuzzy sets PDFBibTeX XMLCite \textit{G. Deschrijver} and \textit{E. E. Kerre}, Fuzzy Sets Syst. 133, No. 2, 227--235 (2003; Zbl 1013.03065) Full Text: DOI References: [1] K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983, Deposed in Central Sci.—Techn. Library of Bulg. Acad. of Sci., 1697/84 (in Bulgarian).; K.T. Atanassov, Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983, Deposed in Central Sci.—Techn. Library of Bulg. Acad. of Sci., 1697/84 (in Bulgarian). [2] Atanassov, K. T., Intuitionistic Fuzzy Sets (1999), Physica-Verlag: Physica-Verlag Heidelberg, New York · Zbl 0939.03057 [3] G. Birkhoff, Lattice Theory, American Mathematical Society, Colloquium Publications, Vol. 25, Providence, RI, 1973, pp. 1-19, 111-112.; G. Birkhoff, Lattice Theory, American Mathematical Society, Colloquium Publications, Vol. 25, Providence, RI, 1973, pp. 1-19, 111-112. [4] Bustince, H.; Burillo, P., Vague sets are intuitionistic fuzzy sets, Fuzzy Sets and Systems, 79, 403-405 (1996) · Zbl 0871.04006 [5] Deng, J. L., Introduction to grey system theory, J. Grey Systems, 1, 1-24 (1989) · Zbl 0701.90057 [6] Dubois, D.; Ostasiewicz, W.; Prade, H., Fuzzy setshistory and basic notions, (Dubois, D.; Prade, H., Fundamentals of Fuzzy Sets (2000), Kluwer Academic Publishers: Kluwer Academic Publishers Dordrecht), 80-93 [7] Gau, W. L.; Buehrer, D. J., Vague sets, IEEE Trans. Systems Man Cybernet., 23, 2, 610-614 (1993) · Zbl 0782.04008 [8] Goguen, J., \(L\)-fuzzy sets, J. Math. Anal. Appl., 18, 145-174 (1967) · Zbl 0145.24404 [9] Gorzałczany, M. B., A method of inference in approximate reasoning based on interval valued fuzzy sets, Fuzzy Sets and Systems, 21, 1-17 (1987) · Zbl 0635.68103 [10] Kerre, E. E., A first view on the alternatives of fuzzy set theory, (Reusch, B.; Temme, K.-H., Computational Intelligence in Theory and Practice (2001), Physica-Verlag: Physica-Verlag Heidelberg), 55-72 · Zbl 1007.03046 [11] R. Sambuc, Fonctions \(Φ\); R. Sambuc, Fonctions \(Φ\) 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.