On Intuitionistic Fuzzy Sets Theory

By Krassimir T. Atanassov. Studies in Fuzziness and Soft Computing, 2012

842 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/c11fbdcd70ea221d49f8e9fc2d8b57c7c401934c

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Citations in the corpus

Pythagorean fuzzy subsets (2013, background): “We recall that if A and B are two intuitionistic fuzzy sets with intuitionistic membership grades A(x) = <A+(x), A(x)> and B(x) = <B+(x), B-(x)> then as suggested by Atanassov [1, 2] we say A ⊆ B if A+(x) • B+(x) and A-(x) • B-(x) for all x.”
Intuitionistic Fuzzy Analytic Hierarchy Process (2014, background): “Definition 5 [19]–[21]: For each IFS Ã on X , then”
Strong Intuitionistic Fuzzy Graphs (2012, background): “([5]) A mapping A = (μA, νA) : X → [0, 1] × [0, 1] is called an intuitionistic fuzzy set in X if μA(x)+νA(x) ≤ 1 for all x ∈ X, where the mappings μA : X → [0, 1] and νA : X → [0, 1] denote the degree of membership (namely μA(x)) and the degree of non-membership (namely νA(x)) of each element x ∈ X ”
A review of fuzzy AHP methods for decision-making with subjective judgements (2020, background): “An intuitionistic fuzzy set A in the universe of discourse X is a set of ordered triples (Atanassov, 2012): {( , ( ), ( )) | }A x x v x x X= (6) where μ(x) and v(x): X→ [0,1] are the membership function and non-membership function respectively; 0 ( ) ( ) 1x v x + .”
Generalized Orthopair Fuzzy Sets (2017, background): “In [2], Atanassov defined the negation or complement of an”
Pythagorean Membership Grades in Multicriteria Decision Making (2014, background): “Most notable among these have been the introduction of intuitionistic [5]–[7] and interval valued [8], [9] fuzzy subsets.”
Fermatean fuzzy sets (2019, background): “⟨ ⟩ Two examples of orthopair fuzzy sets are Atanass-ov’s classic intuitionistic fuzzy sets (Atanassov 1986, 2012; Atan-assov et al. 2013) and a second kind of intuitionistic fuzzy sets (Atanassov 1983, 2016).”