4.8 Article

A Historical Account of Types of Fuzzy Sets and Their Relationships

Journal

IEEE TRANSACTIONS ON FUZZY SYSTEMS
Volume 24, Issue 1, Pages 179-194

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2015.2451692

Keywords

Atanassov intuitionistic fuzzy set; bipolar-valued fuzzy set; fuzzy multiset; fuzzy rough set; fuzzy soft set; hesitant fuzzy set; interval-valued fuzzy set; interval type-2 fuzzy sets; interval-valued Atanassov intuitionistic fuzzy set; multipolarvalued fuzzy set; neutrosophic set; set-valued fuzzy set; type-2 fuzzy set

Funding

  1. Spanish Ministry of Science [TIN2013-40765-P, TIN2012-32482]
  2. CNPq (Conselho Nacional de Desenvolvimento Cientifico e Tecnologico) [480832/2011-0, 307681/2012-2]

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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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