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A Historical Account of Types of Fuzzy Sets and Their Relationships

Humberto BustinceDepartamento de Automática y Computación, Universidad Pública de Navarra, Pamplona, SpainEdurne BarrenecheaDepartamento de Automática y Computación, Universidad Pública de Navarra, Pamplona, SpainMiguel PagolaDepartamento de Automática y Computación, Universidad Pública de Navarra, Pamplona, SpainJavier FernándezDepartamento de Automática y Computación, Universidad Pública de Navarra, Pamplona, SpainZeshui XuBusiness School, Sichuan University, Chengdu, ChinaBenjamín BedregalDepartamento de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, BrazilJavier MonteroFacultad de Ciencias Matemáticas, Universidad Complutense de Madrid, Madrid, SpainHani HagrasComputational Intelligence Centre, School of Computer Science and Electronic Engineering, University of Essex, Colchester, U.KFrancisco HerreraDepartment of Computation and Artificial Intelligence, CITIC-UGR, Universidad de Granada, Granada, SpainBernard De BaetsDepartment of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Gent, Belgium
2015en
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In this paper, 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.

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