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• W2113228802 abstract "We prove that every hesitant fuzzy set on a set E can be considered either a soft set over the universe [0,1] or a soft set over the universe E. Concerning converse relationships, for denumerable universes we prove that any soft set can be considered even a fuzzy set. Relatedly, we demonstrate that every hesitant fuzzy soft set can be identified with a soft set, thus a formal coincidence of both notions is brought to light. Coupled with known relationships, our results prove that interval type-2 fuzzy sets and interval-valued fuzzy sets can be considered as soft sets over the universe [0,1]. Altogether we contribute to a more complete understanding of the relationships among various theories that capture vagueness and imprecision." @default.
• W2113228802 created "2016-06-24" @default.
• W2113228802 creator A5024802129 @default.
• W2113228802 date "2016-01-01" @default.
• W2113228802 modified "2023-10-16" @default.
• W2113228802 title "Some formal relationships among soft sets, fuzzy sets, and their extensions" @default.
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• W2113228802 doi "https://doi.org/10.1016/j.ijar.2015.10.004" @default.
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