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Volumn 39, Issue , 2013, Pages 79-84

A theoretical development on the entropy of interval-valued fuzzy sets based on the intuitionistic distance and its relationship with similarity measure

Author keywords

Distance measure; Entropy; Interval valued fuzzy set; Intuitionistic fuzzy set; Similarity measure

Indexed keywords

AXIOMATIC DEFINITIONS; DISTANCE MEASURE; INTERVAL-VALUED FUZZY SETS; INTUITIONISTIC FUZZY SETS; SIMILARITY MEASURE; THEORETICAL DEVELOPMENT;

EID: 84871922806     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2012.10.006     Document Type: Article
Times cited : (62)

References (31)
  • 2
    • 0001334287 scopus 로고
    • Interval valued intuitionistic fuzzy sets
    • K.T. Atanassov, and G. Gargov Interval valued intuitionistic fuzzy sets Fuzzy Sets and Systems 31 1989 343 349
    • (1989) Fuzzy Sets and Systems , vol.31 , pp. 343-349
    • Atanassov, K.T.1    Gargov, G.2
  • 3
    • 0000492650 scopus 로고    scopus 로고
    • Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
    • P. Burillo, and H. Bustince Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets Fuzzy Sets and Systems 118 3 1996 305 316
    • (1996) Fuzzy Sets and Systems , vol.118 , Issue.3 , pp. 305-316
    • Burillo, P.1    Bustince, H.2
  • 4
    • 0000196513 scopus 로고    scopus 로고
    • Vague sets are intuitionistic fuzzy sets
    • H. Bustince, and P. Burillo Vague sets are intuitionistic fuzzy sets Fuzzy Sets and Systems 79 1996 403 405
    • (1996) Fuzzy Sets and Systems , vol.79 , pp. 403-405
    • Bustince, H.1    Burillo, P.2
  • 5
    • 77958493014 scopus 로고    scopus 로고
    • Determining objective weights with intuitionistic fuzzy entropy measures: A comparative analysis
    • T.Y. Chen, and C.H. Li Determining objective weights with intuitionistic fuzzy entropy measures: a comparative analysis Information Sciences 180 2010 4207 4222
    • (2010) Information Sciences , vol.180 , pp. 4207-4222
    • Chen, T.Y.1    Li, C.H.2
  • 6
    • 0037448308 scopus 로고    scopus 로고
    • On the relationship between some extensions of fuzzy set theory
    • G. Deschrijver, and E. Kerre On the relationship between some extensions of fuzzy set theory Fuzzy Sets and Systems 133 2003 227 235
    • (2003) Fuzzy Sets and Systems , vol.133 , pp. 227-235
    • Deschrijver, G.1    Kerre, E.2
  • 7
    • 0033117081 scopus 로고
    • A note on similarity measures between vague sets and between elements
    • D.H. Hong, and C. Kim A note on similarity measures between vague sets and between elements Information Science 115 1995 83 96
    • (1995) Information Science , vol.115 , pp. 83-96
    • Hong, D.H.1    Kim, C.2
  • 8
    • 78651415099 scopus 로고    scopus 로고
    • The fuzzy entropy of vague sets based on non-fuzzy sets
    • G.S. Huang, and Y.S. Liu The fuzzy entropy of vague sets based on non-fuzzy sets Computer Applications and Software 22 6 2005 16 17
    • (2005) Computer Applications and Software , vol.22 , Issue.6 , pp. 16-17
    • Huang, G.S.1    Liu, Y.S.2
  • 10
    • 4644256932 scopus 로고    scopus 로고
    • Similarity measures of intuitionistic fuzzy sets based on Huasdorff distance
    • W.L. Hung, and M.S. Yang Similarity measures of intuitionistic fuzzy sets based on Huasdorff distance Pattern Recognition Letter 25 2004 1603 1611
    • (2004) Pattern Recognition Letter , vol.25 , pp. 1603-1611
    • Hung, W.L.1    Yang, M.S.2
  • 11
    • 0036132355 scopus 로고    scopus 로고
    • New similarity measure of intuitionistic fuzzy sets and application to pattern recognitions
    • D.F. Li, and C.T. Cheng New similarity measure of intuitionistic fuzzy sets and application to pattern recognitions Pattern Recognition Letter 23 2002 221 225
    • (2002) Pattern Recognition Letter , vol.23 , pp. 221-225
    • Li, D.F.1    Cheng, C.T.2
  • 12
    • 84855462840 scopus 로고    scopus 로고
    • The relationship between similarity measure and entropy of intuitionistic fuzzy sets
    • J. Li, G. Deng, H. Li, and W. Zeng The relationship between similarity measure and entropy of intuitionistic fuzzy sets Information Science 188 2012 314 321
    • (2012) Information Science , vol.188 , pp. 314-321
    • Li, J.1    Deng, G.2    Li, H.3    Zeng, W.4
  • 13
    • 0001461349 scopus 로고
    • Entropy, distance measure and similarity measure of fuzzy sets and their relations
    • X.C. Liu Entropy, distance measure and similarity measure of fuzzy sets and their relations Fuzzy Sets and Systems 52 1992 305 318
    • (1992) Fuzzy Sets and Systems , vol.52 , pp. 305-318
    • Liu, X.C.1
  • 14
    • 26944471155 scopus 로고    scopus 로고
    • Entropy and subsethood for general interval-valued intuitionistic fuzzy sets
    • L. Wang, Y. Jin, Springer-Verlag Berlin Heidelberg
    • X.D. Liu, and S.H. Zhang Entropy and subsethood for general interval-valued intuitionistic fuzzy sets L. Wang, Y. Jin, FSKD 2005 vol. LNAI 3613 2005 Springer-Verlag Berlin Heidelberg 42 52
    • (2005) FSKD 2005 , vol.3613 LNAI , pp. 42-52
    • Liu, X.D.1    Zhang, S.H.2
  • 15
    • 0015340630 scopus 로고
    • A definition of nonprobabilistic entropy in the setting of fuzzy theory
    • A.D. Luca, and S. Termini A definition of nonprobabilistic entropy in the setting of fuzzy theory Information and Control 20 1972 301 312
    • (1972) Information and Control , vol.20 , pp. 301-312
    • Luca, A.D.1    Termini, S.2
  • 17
    • 0142025152 scopus 로고    scopus 로고
    • On the Dengfeng-Chuntian similarity measure and its application to pattern recognition
    • H.B. Mitchell On the Dengfeng-Chuntian similarity measure and its application to pattern recognition Pattern Recognition letters 24 2003 3101 3104
    • (2003) Pattern Recognition Letters , vol.24 , pp. 3101-3104
    • Mitchell, H.B.1
  • 19
    • 26944471642 scopus 로고    scopus 로고
    • A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making
    • V. Torra, Y. Narukawa, S. Miyamoto, LNAI Springer
    • E. Szmidt, and J. Kacprzyk A new concept of a similarity measure for intuitionistic fuzzy sets and its use in group decision making V. Torra, Y. Narukawa, S. Miyamoto, Modelling Decision for Artificial Intelligence LNAI vol. 3558 2005 Springer 272 282
    • (2005) Modelling Decision for Artificial Intelligence , vol.3558 , pp. 272-282
    • Szmidt, E.1    Kacprzyk, J.2
  • 21
    • 0035283961 scopus 로고    scopus 로고
    • Entropy for intuitionistic fuzzy sets
    • E. Szmidt, and J. Kacprzyk Entropy for intuitionistic fuzzy sets Fuzzy Sets and Systems 118 3 2001 467 477
    • (2001) Fuzzy Sets and Systems , vol.118 , Issue.3 , pp. 467-477
    • Szmidt, E.1    Kacprzyk, J.2
  • 22
    • 0000038881 scopus 로고
    • Interval valued fuzzy sets based on normal forms
    • I.B. Turksen Interval valued fuzzy sets based on normal forms Fuzzy Sets and Systems 20 1986 191 210
    • (1986) Fuzzy Sets and Systems , vol.20 , pp. 191-210
    • Turksen, I.B.1
  • 23
    • 33750818700 scopus 로고    scopus 로고
    • Intuitionistic fuzzy information-applications to pattern recognition
    • I.K. Vlochos, and G.D. Sergiadis Intuitionistic fuzzy information-applications to pattern recognition Pattern Recognition Letter 28 2007 197 206
    • (2007) Pattern Recognition Letter , vol.28 , pp. 197-206
    • Vlochos, I.K.1    Sergiadis, G.D.2
  • 24
    • 37749047228 scopus 로고    scopus 로고
    • A technique for constructing intuitionistic fuzzy entropy
    • Y. Wang, and Y.J. Lei A technique for constructing intuitionistic fuzzy entropy Control and Decision 22 12 2007 1390 1394
    • (2007) Control and Decision , vol.22 , Issue.12 , pp. 1390-1394
    • Wang, Y.1    Lei, Y.J.2
  • 25
    • 0242521093 scopus 로고    scopus 로고
    • Intuitionistic fuzzy sets and L-fuzzy sets
    • G.J. Wang, and Y.Y. He Intuitionistic fuzzy sets and L-fuzzy sets Fuzzy Sets and Systems 110 2000 271 274
    • (2000) Fuzzy Sets and Systems , vol.110 , pp. 271-274
    • Wang, G.J.1    He, Y.Y.2
  • 27
    • 0001096516 scopus 로고
    • Theory of approximate reasoning
    • J.E. Hayes, D. Michie, L.I. Mikulich, Ellis Horwood Chichester
    • L.A. Zadeh Theory of approximate reasoning J.E. Hayes, D. Michie, L.I. Mikulich, Machine Intelligence 1970 Ellis Horwood Chichester 149 194
    • (1970) Machine Intelligence , pp. 149-194
    • Zadeh, L.A.1
  • 28
    • 37249084329 scopus 로고    scopus 로고
    • Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship
    • W.Y. Zeng, and P. Guo Normalized distance, similarity measure, inclusion measure and entropy of interval-valued fuzzy sets and their relationship Information Sciences 178 2008 1334 1342
    • (2008) Information Sciences , vol.178 , pp. 1334-1342
    • Zeng, W.Y.1    Guo, P.2
  • 29
    • 33646194382 scopus 로고    scopus 로고
    • Relationship between similarity measure and entropy of interval-valued fuzzy sets
    • W.Y. Zeng, and H.X. Li Relationship between similarity measure and entropy of interval-valued fuzzy sets Fuzzy Sets and Systems 157 2006 1477 1484
    • (2006) Fuzzy Sets and Systems , vol.157 , pp. 1477-1484
    • Zeng, W.Y.1    Li, H.X.2
  • 31
    • 67650476336 scopus 로고    scopus 로고
    • Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure
    • H.Y. Zhang, W.X. Zhang, and C.L. Mei Entropy of interval-valued fuzzy sets based on distance and its relationship with similarity measure Knowledge-Based Systems 22 2009 449 454
    • (2009) Knowledge-Based Systems , vol.22 , pp. 449-454
    • Zhang, H.Y.1    Zhang, W.X.2    Mei, C.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.