On the relationship between some extensions of fuzzy set theory

By Glad Deschrijver, Etienne E. Kerre. Fuzzy Sets Syst., 2003

785 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/6ee9d69b35f2a284e54136a6873af15a94c6e896

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In Management Science and Operations Research

Citations in the corpus

Terminological difficulties in fuzzy set theory - The case of "Intuitionistic Fuzzy Sets" (2005, background): “[15], Deschrijver, Kerre [11] and Cornelis et al.”
On the Fundamental Differences Between Interval Type-2 and Type-1 Fuzzy Logic Controllers (2012, background): “Deschrijver and Kerre [11] had a comprehensive study on the relationships among some important extensions of T1 FSs, including interval-valued FSs, intuitionistic FSs, interval-valued intuitionistic FSs [3], and L-FSs [14].”
The role of fuzzy sets in decision sciences: Old techniques and new directions (2011, methodology): “Moreover, the aggregation operations proposed by Atanassov are fully compatible with the interval-extension of pointwise aggregation operations [29].”
A Historical Account of Types of Fuzzy Sets and Their Relationships (2016, background): “Later, in 2007, Deschrijver and Kerre [45], [46] and Mendel [90] showed that IVFSs are particular cases of T2FSs.”
Pythagorean Membership Grades in Multicriteria Decision Making (2014, background): “Recent interest has focused on so-called nonstandard fuzzy sets prominent among these are intuitionistic and interval-valued fuzzy sets [5], [7]–[9], and [11].”
Intuitionistic Fuzzy Aggregation Operators (2007, background): “Deschrijver and Kerre [18] extended the notion of uninorm to the A-IFS theory,and investigated its properties.”
Intuitionistic Fuzzy Information Measures with Application in Rating of Township Development (2016, background): “Zadeh introduced fuzzy set theory [49], since then various generalization forms have been proposed and studied to deal with imprecision and uncertainty [1, 2, 5, 8, 10, 12, 27, 42].”
Neutrosophic set - a generalization of the intuitionistic fuzzy set (2004, background): “According to Cornelis et al. (2003), Gehrke et al. (1996) stated that “Many people believe that assigning an exact number to an expert’s opinion is too restrictive, and the assignment of an interval of values is more realistic”, which is somehow similar with the imprecise probability theory where in”
Interval-valued intuitionistic fuzzy soft sets and their properties (2010, methodology): “Obviously, by combining the interval-valued intuitionistic fuzzy sets [40,41,38] and soft sets, it is natural to define the interval-valued intuitionistic fuzzy soft set model.”
Intuitionistic Fuzzy Information Aggregation Using Einstein Operations (2012, background): “Atanassov and Gargov [8] defined the notion of interval-valued AIFS, which is a generalization of the notion of AIFS in the spirit of interval-valued fuzzy set (IVFS) [25].”
An Overview of Distance and Similarity Measures of Intuitionistic Fuzzy Sets (2008, background): “Deschrijver and Kerre [3] established the relationship between IFSs, Interval-Valued Intuitionistic Fuzzy Sets (IVIFSs) [4], L-fuzzy sets [5], and Interval-Valued Fuzzy Sets (IVFSs) [6], and”