A New Heuristic Algorithm of Possibilistic Clustering Based on Intuitionistic Fuzzy Relations

Kacprzyk, Janusz; Owsiński, Jan W.; Viattchenin, Dmitri A.; Shyrai, Stanislau

doi:10.1007/978-3-319-26211-6_17

Cited by 3 publications

(3 citation statements)

References 8 publications

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“…[101] Chaira [47] Kacprzyk et al [137] Wang et al [304] Kaushik et al [143] Liu et al [178] Prabu et al [244] Rangasamy et al [250] Shang et al [270] Son et al [280] Tripathy et al…”

Section: Intuitionistic Fuzzy Clusteringmentioning

confidence: 99%

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Informational Paradigm, management of uncertainty and theoretical formalisms in the clustering framework: A review

D’Urso

2017

Information Sciences

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Evidential clustering or credal clustering or Belief clustering Credal Sets (CSs) theory, Dempster-2004 Denoeux, Masson [ 98 ] 1967 Shafer (DS) theory 2008 Denoeux, Masson [190] 1976 Dempster, [90] , Shafer [268] 1997 Cozman [68] Credibilistic clustering Credibilistic (Cred) theory 2007 Zhou et al. [ 350 ] 2004 Liu [174] 2014 Niakan et al. [216] 2015 Zhou et al. [348] Type-2 fuzzy clustering Type-2 Fuzzy Sets (T2FSs) theory 2007 Hwang and Rhee [359] (interval Type-2 fuzzy clustering) 1975 Zadeh [353] 2009 Min et al. [198] (interval Type-2 possibilistic clustering) 2012 Linda and Manic [166] (Type-2 fuzzy clustering or general Type-2 fuzzy clustering) 2014 Ji et al. [134] (interval Type-2 fuzzy possibilistic clustering) Neutrosophic clustering Neutrosophic Sets (NSs) theory 2012 Shan et al. [269] 1998 Smarandache [274] 2015 Guo and Ş engür [119] Hesitant fuzzy clustering Hesitant Fuzzy Sets (HFSs) theory 2013 Chen et al. [55] 2009 Torra and Narukawa [290] Interval-based fuzzy clustering Interval Sets (ISs) theory 2015 Silva et al. [273] 1966 Moore [211] 2015 Picture fuzzy clustering 2013 Picture Fuzzy Sets (PFSs) theory Son [277] Cuong and Kreinovich [73]

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“…[101] Chaira [47] Kacprzyk et al [137] Wang et al [304] Kaushik et al [143] Liu et al [178] Prabu et al [244] Rangasamy et al [250] Shang et al [270] Son et al [280] Tripathy et al…”

Section: Intuitionistic Fuzzy Clusteringmentioning

confidence: 99%

“…Recently, intuitionistic fuzzy clustering methods have been proposed by Agrawal and Tripathy,[3] , Aliahmadipour and Eslami [5] , Ananthi et al [12] , Chen and Liu [57] , Dubey et al [101] , Kacprzyk et al [137] , Prabu et al [244] , Shang et al [270] , Tripathy et al [293,294] and Zhou et al [351] .…”

Section: Intuitionistic Fuzzy Clusteringmentioning

confidence: 99%

Informational Paradigm, management of uncertainty and theoretical formalisms in the clustering framework: A review

D’Urso

2017

Information Sciences

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“…A similarity measure based on the normalized Euclidean distance was proposed in [20] and the corresponding similarity measure is defined by a formula (9), (10). The corresponding intuitionistic fuzzy relations satisfied to the symmetry property and the reflexivity property.…”

Section: Similarity Measures For Constructing Intuitionistic Fuzzy Tomentioning

confidence: 99%

Distances and Similarity Measures in Heuristic Possibilistic Clustering the Intuitionistic Fuzzy Data: A Comparative Study

Viattchenin¹

2017

IJSMIT

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Abstract:The note deals with the problem of heuristic possibilistic clustering the intuitionistic fuzzy data. Different distances between intuitionistic fuzzy sets are considered in the paper. Similarity measures for intuitionistic fuzzy sets for constructing intuitionistic fuzzy tolerance relations are also considered. A numerical example of application of these distances and similarity measures for clustering the intuitionistic fuzzy data is presented. Some preliminary conclusions are formulated.

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A Review of Time-Series Anomaly Detection Techniques: A Step to Future Perspectives

Shaukat¹,

Alam²,

Luo³

et al. 2021

Advances in Intelligent Systems and Computing

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A New Heuristic Algorithm of Possibilistic Clustering Based on Intuitionistic Fuzzy Relations

Cited by 3 publications

References 8 publications

Informational Paradigm, management of uncertainty and theoretical formalisms in the clustering framework: A review

Informational Paradigm, management of uncertainty and theoretical formalisms in the clustering framework: A review

Distances and Similarity Measures in Heuristic Possibilistic Clustering the Intuitionistic Fuzzy Data: A Comparative Study

A Review of Time-Series Anomaly Detection Techniques: A Step to Future Perspectives

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