Single Valued Neutrosophic Sets

By Haibin Wang, Florentin Smarandache, Yanqinq Zhang, Rajshekhar Sunderraman. 2010

1,965 citations recorded by the source corpus.

View Paper: https://www.semanticscholar.org/paper/91f1177eb19574bdf3269cf0103ff3065e408e4a

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Citations in the corpus

Neutrosophic Sets: An Overview (2018, background): “…(NS) A in 𝜉 is characterized by a truth membership function A , , , 0,1 } A A T I    There is no restriction on the sum of A T (x), A I (x)and A F (x) and so 0 2.2 Single valued neutrosophic sets (Wang et al., 2010) Let X be a space of points (objects) with generic elements in 𝜉 denoted by x.”
Simplified neutrosophic sets and their applications in multi-criteria group decision-making problems (2016, background): “For example, when an expert is asked for his or her opinion about a certain statement, he or she may say that the possibility that the statement is true is 0.5, that it is false is 0.6 and the degree that he or she is not sure is 0.2 (Wang, Smarandache, Zhang, & Sunderraman, 2010).”
Interval Neutrosophic Sets and Their Application in Multicriteria Decision Making Problems (2014, background): “For example [24], when we ask about the opinion of an expert about a certain statement, he or she may say that the possibility that the statement is true is 0.5, that the statement is false is 0.6, and the degree that he or she is not sure is 0.2.”
On similarity and entropy of neutrosophic sets (2013, unknown): “A = n (cid:1) 1 < t A ( x i ) , i A ( x i ) , f A ( x i ) > and n (cid:1) x i Hamming distance between A ( x i ) − f B ( x i )) 2 ( X = { a, b, c, d } be the universe and single valued neutrosophic sets in X < 0 .”
Neutrosophic Game Theoretic Approach to Indo-Pak Conflict over Jammu-Kashmir (2013, methodology): “In this section, we present some basic definitions of neutrosophy, and neutrosophic sets and their operations due to Smrandache [7] and Wang et al.[8].”
Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment (2013, methodology): “Let X be a space of points (objects) with generic elements in X denoted by x (Wang et al., 2010).”
Improved cosine similarity measures of simplified neutrosophic sets for medical diagnoses (2015, unknown): “For two SVNSs A = {x, T A (x), I A (x), F A (x)| x ∈ X} and B = {x, T B (x), I B (x), F B (x)| x ∈ X}, there are the following relations [11]: (1) Complement: A c = { x, F A (x), 1 − I A (x), T A (x) |x ∈ X}; (2) Inclusion: A ⊆ B if and only if T A (x) ≤ T B (x), I A (x) ≥ I B (x), F A (x) ≥ F B…”
Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments (2018, background): “A SVNS [2] P in X is formed by a truth-membership function TP(x), an indeterminacy membership function IP(x), and a falsity membership function FP(x).”
An approach of TOPSIS technique for developing supplier selection with group decision making under type-2 neutrosophic number (2019, methodology): “We used single valued neutrosophic set [17] (SVNS), a subclass of neutrosophic set, in which every component of the universe is described by the truth, indeterminacy and falsity memberships existing in the actual unit interval.”
Multiple attribute decision-making method based on single-valued neutrosophic normalized weighted Bonferroni mean (2014, methodology): “In this section, we shall extend the NWBM operator to accommodate the situations where the input arguments are SVNNs and propose a SVNNWBM operator and analyze some desirable properties and special cases under the single-valued neutrosophic environments.”