2018
DOI: 10.1016/j.measurement.2018.04.001
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RETRACTED: The role of single valued neutrosophic sets and rough sets in smart city: Imperfect and incomplete information systems

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Cited by 77 publications
(25 citation statements)
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“…The neutrosophic set is an extension of Atanassov intuitionistic fuzzy set, where the membership and non-membership of an element in a group is defined as a number between 0 and 1. Neutrosophic set added another step further by examining the membership, the indeterminacy membership and the non-membership of an element of a given set as a number (0-1) [8]. Compared to Atanassov intuitionistic fuzzy set, the neutrosophic set is very effective in dealing with incomplete information and vague data.…”
Section: Introductionmentioning
confidence: 99%
“…The neutrosophic set is an extension of Atanassov intuitionistic fuzzy set, where the membership and non-membership of an element in a group is defined as a number between 0 and 1. Neutrosophic set added another step further by examining the membership, the indeterminacy membership and the non-membership of an element of a given set as a number (0-1) [8]. Compared to Atanassov intuitionistic fuzzy set, the neutrosophic set is very effective in dealing with incomplete information and vague data.…”
Section: Introductionmentioning
confidence: 99%
“…Definition 1. [33,34] The neutrosophic set N is characterized by three membership functions, which are the truth-membership function T Ne (x), indeterminacy-membership function I Ne (x) and falsity-membership function F Ne (x), where x ∈ X and X are a space of points. Also, T Ne Definition 3.…”
Section: Definition Of a Neutrosophic Setmentioning
confidence: 99%
“…[34,36] Let a = (a 1 , a 2 , a 3 ); α a , θ a , β a and b = (b 1 , b 2 , b 3 ); α a , θ a , β a be two single-valued triangular neutrosophic numbers and γ = 0 be any real number. Then:…”
Section: Definition Of a Neutrosophic Setmentioning
confidence: 99%
“…To handle MAGDM information fusion and analysis with IN information effectively, GrC-based approaches own unique superiorities in constructing problem addressing approaches via multi-view problem solving tactics [23,24]. During the past several years, taking full advantage of GrC-based approaches, many scholars and practitioners have obtained fruitful results in merging NSs with rough sets [25][26][27][28][29][30][31][32], formal concept analysis [33,34], three-way decisions [35][36][37], and others [38,39]. In the current article, we plan to propose a new IN MAGDM method via multigranulation probabilistic models, which can provide a risk-based information synthesis scheme with the capability of error tolerance in light of GrC-based approaches.…”
Section: A Brief Review Of Multigranulation Probabilistic Modelsmentioning
confidence: 99%