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- W2931764536 abstract "Inclusion is one of the most basic relations between sets. In this paper, we show how to represent the degree of inclusion between two L-fuzzy sets via a function. Specifically, such a function determines the minimal modifications needed in an L-fuzzy set to be included (in Zadeh's sense) into another. To reach such a goal, firstly we present the notion of f-inclusion, which defines a family of crisp binary relations between L-fuzzy sets that are used as indexes of inclusion and, subsequently, we define the φ-degree of inclusion as the most suitable f-inclusion under certain criterion. In addition, we also present three φ-degrees of similarity definable from the φ-degree of inclusion. We show that the φ-degree of inclusion and the φ-degrees of similarities satisfy versions of many common axioms usually required for measures of inclusion and similarity in the literature." @default.
- W2931764536 created "2019-04-11" @default.
- W2931764536 creator A5086719246 @default.
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- W2931764536 date "2020-07-01" @default.
- W2931764536 modified "2023-10-09" @default.
- W2931764536 title "Functional degrees of inclusion and similarity between L-fuzzy sets" @default.
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- W2931764536 doi "https://doi.org/10.1016/j.fss.2019.03.018" @default.
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