New Order on Type 2 Fuzzy Numbers
AbstractSince Lotfi A. Zadeh introduced the concept of fuzzy sets in 1965, many authors have devoted their efforts to the study of these new sets, both from a theoretical and applied point of view. Fuzzy sets were later extended in order to get more adequate and flexible models of inference processes, where uncertainty, imprecision or vagueness is present. Type 2 fuzzy sets comprise one of such extensions. In this paper, we introduce and study an extension of the fuzzy numbers (type 1), the type 2 generalized fuzzy numbers and type 2 fuzzy numbers. Moreover, we also define a partial order on these sets, which extends into these sets the usual order on real numbers, which undoubtedly becomes a new option to be taken into account in the existing total preorders for ranking interval type 2 fuzzy numbers, which are a subset of type 2 generalized fuzzy numbers. View Full-Text
A printed edition of this Special Issue is available here.
Share & Cite This Article
Hernández, P.; Cubillo, S.; Torres-Blanc, C.; Guerrero, J.A. New Order on Type 2 Fuzzy Numbers. Axioms 2017, 6, 22.
Hernández P, Cubillo S, Torres-Blanc C, Guerrero JA. New Order on Type 2 Fuzzy Numbers. Axioms. 2017; 6(3):22.Chicago/Turabian Style
Hernández, Pablo; Cubillo, Susana; Torres-Blanc, Carmen; Guerrero, José A. 2017. "New Order on Type 2 Fuzzy Numbers." Axioms 6, no. 3: 22.
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.