Intuitionistic fuzzy information - Applications to pattern recognition

By Ioannis K. Vlachos, George D. Sergiadis. Pattern Recognition Letters, 2007

759 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/93705db51db04bb4f7c37f960ef29ba93cf1a67c

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In Artificial Intelligence

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Citations in the corpus

Hybrid Binary Logarithm Similarity Measure for MAGDM Problems under SVNS Assessments (2018, background): “Majumder and Samanta [55] developed some entropy measures for SVNSs.”
Single valued neutrosophic cross-entropy for multicriteria decision making problems (2014, methodology): “As an intuitionistic fuzzy set is a generalization of a fuzzy set, Vlachos and Sergiadis [7] proposed an intuitionistic fuzzy cross-entropy based on an extension of the De Luca-Termini nonprobabilistic entropy [8] and applied it to the pattern recognition, medical diagnosis, and image segmentation.”
Supplier selection for development of petroleum industry facilities, applying multi-criteria decision making techniques including fuzzy and intuitionistic fuzzy TOPSIS with flexible entropy weighting (2016, methodology): “Szmidt and Kacprzyk (2001) proposed the IF entropy measure, which is widely applied in IFS methods for calculating entropybased weights, and other measures developing their principles are also applied (e.g., Vlachos and Sergiadis, 2007; Parkash et al., 2008; Ye, 2010).”
Cosine similarity measures for intuitionistic fuzzy sets and their applications (2011, methodology): “In the following example, we will also discuss the medical diagnosis problem in [19].”
Ranking the sustainability performance of pavements: An intuitionistic fuzzy decision making method (2014, methodology): “To determine weights of phases and indicators, exact model of entropy weights in IFS is used [41,42].”
Information measures for hesitant fuzzy sets and interval-valued hesitant fuzzy sets (2013, background): “The notion of similarity measure of IFSs indicates the similarity degree of IFSs and has been widely applied in many fuzzy decision-making problems.”
A multicriteria intuitionistic fuzzy group decision making for plant location selection with ELECTRE method (2012, methodology): “These characteristics of intuitionistic fuzzy sets has led authors to develop intuitionistic fuzzy (IF)-MCDM methods [24–27].”
Intuitionistic Fuzzy Information Measures with Application in Rating of Township Development (2016, background): “In this section, the effectiveness of the proposed information measures for IFSs are illustrated mathematically by its comparison with the existing information measues in [30], [36], [41] and [47].”
Hesitant fuzzy entropy and cross‐entropy and their use in multiattribute decision‐making (2012, methodology): “− 33 Vlachos and Sergiadis 34 introduced the concepts of discrimination information and cross-entropy for intuitionistic fuzzy sets, and revealed the connection between the notions of entropies for fuzzy sets and intuitionistic fuzzy sets in terms of fuzziness and intuitionism.”
A GRA-based intuitionistic fuzzy multi-criteria group decision making method for personnel selection (2011, methodology): “In order to obtain W, intuitionistic fuzzy entropy (Vlachos & Sergiadis, 2007) will be used firstly: c1 c2 c3 c4 c5 x1 G MG G G VG Hj ¼ 1 n ln 2 Xm i¼1 ½lij lnlij þ mij ln mij ð1 pijÞ lnð1 pijÞ pij ln 2 : ð7Þ Here, if lij = 0, mij = 0, pij = 1, then, lijlnlij = 0, mijlnmij = 0, (1 pij) ln (1 pij) =…”