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Volumn 14, Issue 3, 2006, Pages 351-366

Inner product based entropy in the intuitionistic fuzzy setting

Author keywords

Correlation; Entropy measures; Geometric interpretation; Informational energy; Inner product; Intuitionistic fuzzy sets; Intuitionistic fuzzy vectors

Indexed keywords

CORRELATION METHODS; ENTROPY; INFORMATION SCIENCE; KNOWLEDGE BASED SYSTEMS; VECTORS;

EID: 33745316308     PISSN: 02184885     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218488506004059     Document Type: Article
Times cited : (25)

References (35)
  • 1
  • 2
    • 0002740725 scopus 로고
    • Intuitionistic fuzzy sets
    • K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy Sets Syst. 20 (1986) 87-96.
    • (1986) Fuzzy Sets Syst. , vol.20 , pp. 87-96
    • Atanassov, K.T.1
  • 3
    • 38249004171 scopus 로고
    • More on intuitionistic fuzzy sets
    • K. T. Atanassov, "More on intuitionistic fuzzy sets", Fuzzy Sets Syst. 33 (1989) 37-45.
    • (1989) Fuzzy Sets Syst. , vol.33 , pp. 37-45
    • Atanassov, K.T.1
  • 4
    • 0000370455 scopus 로고
    • New operations defined over the intuitionistic fuzzy sets
    • K. T. Atanassov, "New operations defined over the intuitionistic fuzzy sets", Fuzzy Sets Syst. 61 (1994) 137-142.
    • (1994) Fuzzy Sets Syst. , vol.61 , pp. 137-142
    • Atanassov, K.T.1
  • 5
    • 38149146861 scopus 로고
    • Operators over interval valued intuitionistic fuzzy sets
    • K. T. Atanassov, "Operators over interval valued intuitionistic fuzzy sets", Fuzzy Sets Syst. 64 (1994) 159-174.
    • (1994) Fuzzy Sets Syst. , vol.64 , pp. 159-174
    • Atanassov, K.T.1
  • 7
    • 5644283518 scopus 로고    scopus 로고
    • Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric
    • P. Grzegorzewski, "Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric", Fuzzy Sets Syst. 148 (2004) 319-328.
    • (2004) Fuzzy Sets Syst. , vol.148 , pp. 319-328
    • Grzegorzewski, P.1
  • 9
    • 0000196513 scopus 로고    scopus 로고
    • Vague sets are intuitionistic fuzzy sets
    • H. Bustince and P. Burillo, "Vague sets are intuitionistic fuzzy sets", Fuzzy Sets Syst. 79 (1996) 403-405.
    • (1996) Fuzzy Sets Syst. , vol.79 , pp. 403-405
    • Bustince, H.1    Burillo, P.2
  • 10
    • 26944497184 scopus 로고    scopus 로고
    • Terminological difficulties in fuzzy set theory-The case of "intuitionistic fuzzy sets"
    • D. Dubois, S. Gottwald, P. Hajek, J. Kacprzyk and H. Prade, "Terminological difficulties in fuzzy set theory-The case of "Intuitionistic Fuzzy Sets" ", Fuzzy Sets Syst. 156 (2005) 485-491.
    • (2005) Fuzzy Sets Syst. , vol.156 , pp. 485-491
    • Dubois, D.1    Gottwald, S.2    Hajek, P.3    Kacprzyk, J.4    Prade, H.5
  • 11
    • 0000486524 scopus 로고
    • Intuitionistic fuzzy logic and intuitionistic fuzzy set theory
    • G. Takeuti and S. Titani, "Intuitionistic fuzzy logic and intuitionistic fuzzy set theory", J. Symb. Log. 49 (1984) 851-866.
    • (1984) J. Symb. Log. , vol.49 , pp. 851-866
    • Takeuti, G.1    Titani, S.2
  • 13
    • 0022982937 scopus 로고
    • Fuzzy entropy and conditioning
    • B. Kosko, "Fuzzy entropy and conditioning", Inf. Sci. 40 (1986) 165-174.
    • (1986) Inf. Sci. , vol.40 , pp. 165-174
    • Kosko, B.1
  • 14
    • 0000041473 scopus 로고    scopus 로고
    • Distances between intuitionistic fuzzy sets
    • E. Szmidt and J. Kacprzyk, "Distances between intuitionistic fuzzy sets", Fuzzy Sets Syst. 114 (2000) 505-518.
    • (2000) Fuzzy Sets Syst. , vol.114 , pp. 505-518
    • Szmidt, E.1    Kacprzyk, J.2
  • 15
    • 0001831094 scopus 로고
    • Fuzzy sets and systems
    • ed. J. Fox (Polytechnic Press, Brooklyn, NY)
    • L. A. Zadeh, "Fuzzy sets and systems", in Systems Theory, ed. J. Fox (Polytechnic Press, Brooklyn, NY, 1965) pp. 29-37.
    • (1965) Systems Theory , pp. 29-37
    • Zadeh, L.A.1
  • 16
    • 0015340630 scopus 로고
    • A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory
    • A. De Luca and S. Termini, "A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory", Inf. Control 20 (1972) 301-312.
    • (1972) Inf. Control , vol.20 , pp. 301-312
    • De Luca, A.1    Termini, S.2
  • 18
    • 0018668763 scopus 로고
    • On the measure of fuzziness and negation. Part I: Membership in the unit interval
    • R. R. Yager, "On the measure of fuzziness and negation. Part I: Membership in the unit interval", Int. J. Gen. Syst. 5 (1979) 221-229.
    • (1979) Int. J. Gen. Syst. , vol.5 , pp. 221-229
    • Yager, R.R.1
  • 19
    • 84963164472 scopus 로고
    • Fuzziness vs. probability
    • B. Kosko, "Fuzziness vs. probability", Int. J. Gen. Syst. 17 (1990) 211-240.
    • (1990) Int. J. Gen. Syst. , vol.17 , pp. 211-240
    • Kosko, B.1
  • 21
    • 0004262910 scopus 로고    scopus 로고
    • Prentice-Hall, Englewood Cliffs, NJ
    • B. Kosko, Fuzzy Engineering (Prentice-Hall, Englewood Cliffs, NJ, 1997).
    • (1997) Fuzzy Engineering
    • Kosko, B.1
  • 22
    • 38249011511 scopus 로고
    • Higher order fuzzy entropy and hybrid entropy of a set
    • N. R. Pal and S. K. Pal, "Higher order fuzzy entropy and hybrid entropy of a set", Inf. Sci. 61 (1992) 211-231.
    • (1992) Inf. Sci. , vol.61 , pp. 211-231
    • Pal, N.R.1    Pal, S.K.2
  • 23
    • 0035283961 scopus 로고    scopus 로고
    • Entropy for intuitionistic fuzzy sets
    • E. Szmidt and J. Kacprzyk, "Entropy for intuitionistic fuzzy sets", Fuzzy Sets Syst. 118 (2001) 467-477.
    • (2001) Fuzzy Sets Syst. , vol.118 , pp. 467-477
    • Szmidt, E.1    Kacprzyk, J.2
  • 24
    • 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 Syst. 78 (1996) 305-316.
    • (1996) Fuzzy Sets Syst. , vol.78 , pp. 305-316
    • Burillo, P.1    Bustince, H.2
  • 27
    • 0001091243 scopus 로고    scopus 로고
    • Distance measure and induced fuzzy entropy
    • J.-L. Fan and W.-X. Xie, "Distance measure and induced fuzzy entropy", Fuzzy Sets Syst. 104 (1999) 305-314.
    • (1999) Fuzzy Sets Syst. , vol.104 , pp. 305-314
    • Fan, J.-L.1    Xie, W.-X.2
  • 28
    • 0000282001 scopus 로고    scopus 로고
    • On some properties of distance measures
    • J.-L. Fan, Y.-L. Ma and W.-X. Xie, "On some properties of distance measures", Fuzzy Sets Syst. 117 (2001) 355-361.
    • (2001) Fuzzy Sets Syst. , vol.117 , pp. 355-361
    • Fan, J.-L.1    Ma, Y.-L.2    Xie, W.-X.3
  • 29
    • 0001461349 scopus 로고
    • Entropy, distance measure and similarity measure of fuzzy sets and their relations
    • L. Xuecheng, "Entropy, distance measure and similarity measure of fuzzy sets and their relations", Fuzzy Sets Syst. 52 (1992) 305-318.
    • (1992) Fuzzy Sets Syst. , vol.52 , pp. 305-318
    • Xuecheng, L.1
  • 31
    • 0006815490 scopus 로고    scopus 로고
    • Some operations on intuitionistic fuzzy sets
    • S. K. De, R. Biswas and A. R. Roy, "Some operations on intuitionistic fuzzy sets", Fuzzy Sets Syst. 114 (2000) 477-484.
    • (2000) Fuzzy Sets Syst. , vol.114 , pp. 477-484
    • De, S.K.1    Biswas, R.2    Roy, A.R.3
  • 32
    • 0002303071 scopus 로고
    • Correlation of intuitionistic fuzzy sets
    • T. Gerstenkorn and J. Manko, "Correlation of intuitionistic fuzzy sets", Fuzzy Sets Syst. 44 (1991) 39-43.
    • (1991) Fuzzy Sets Syst. , vol.44 , pp. 39-43
    • Gerstenkorn, T.1    Manko, J.2
  • 33
    • 0040136579 scopus 로고
    • Correlation of intuitionistic fuzzy sets in probability spaces
    • D. H. Hong and S. Y. Hwang, "Correlation of intuitionistic fuzzy sets in probability spaces", Fuzzy Sets Syst. 75 (1995) 77-81.
    • (1995) Fuzzy Sets Syst. , vol.75 , pp. 77-81
    • Hong, D.H.1    Hwang, S.Y.2
  • 34
    • 0040433750 scopus 로고
    • A definition of an informational energy in fuzzy sets theory
    • D. Dumitrescu, "A definition of an informational energy in fuzzy sets theory", Studio, Univ. Babes-Bolyai Math. 22 (1977) 57-59.
    • (1977) Studio, Univ. Babes-bolyai Math. , vol.22 , pp. 57-59
    • Dumitrescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.