A historical account of types of fuzzy sets and their relationships Bustince, Humberto Herrera Triguero, Francisco Type-2 fuzzy set Set-valued fuzzy set Hesitant fuzzy set Interval-valued fuzzy set Atanassov intuitionistic fuzzy set Interval type-2 fuzzy sets Interval-valued Atanassov intuitionistic fuzzy set Neutrosophic set Bipolar-valued fuzzy set Fuzzy multiset Fuzzy rough set Fuzzy soft set Multi-polarvalued fuzzy set This work has been supported by projects TIN2013-40765- P and TIN2012-32482 of the Spanish Ministry of Science and by the Brazilian funding agency CNPq (Conselho Nacional de Desenvolvimento Cient´ıfico e Tecnol´ogico), under Proc. No. 480832/2011-0 and No. 307681/2012-2. In this work we review the definition and basic properties of the different types of fuzzy sets that have appeared up to now in the literature. We also analyze the relationships between them and enumerate some of the applications in which they have been used. 2020-07-03T09:53:28Z 2020-07-03T09:53:28Z 2015 info:eu-repo/semantics/article Published version: H. Bustince et al., "A Historical Account of Types of Fuzzy Sets and Their Relationships," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 1, pp. 179-194, Feb. 2016, [doi: 10.1109/TFUZZ.2015.2451692] http://hdl.handle.net/10481/62847 10.1109/TFUZZ.2015.2451692 eng http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess Atribución-NoComercial-SinDerivadas 3.0 España IEEE