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Volumn 406, Issue , 2014, Pages 163-168

On the axiomatic requirement of range to measure uncertainty

Author keywords

Belief function; Dempster Shafer theory; Entropy; Uncertainty measure

Indexed keywords

ENTROPY; PROBABILISTIC LOGICS;

EID: 84897551745     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2014.03.060     Document Type: Article
Times cited : (12)

References (59)
  • 1
    • 0001341154 scopus 로고
    • Information-theoretic measure of uncertainty due to quantum and thermal fluctuations
    • A. Anderson, and J.J. Halliwell Information-theoretic measure of uncertainty due to quantum and thermal fluctuations Phys. Rev. D 48 6 1993 2753
    • (1993) Phys. Rev. D , vol.48 , Issue.6 , pp. 2753
    • Anderson, A.1    Halliwell, J.J.2
  • 4
    • 84867853281 scopus 로고    scopus 로고
    • New developments in uncertainty assessment and uncertainty management
    • T. Ross, J. Booker, and A. Montoya New developments in uncertainty assessment and uncertainty management Expert Syst. Appl. 40 3 2013 964 974
    • (2013) Expert Syst. Appl. , vol.40 , Issue.3 , pp. 964-974
    • Ross, T.1    Booker, J.2    Montoya, A.3
  • 6
    • 34248666540 scopus 로고
    • Fuzzy sets
    • L.A. Zadeh Fuzzy sets Inform. Control 8 3 1965 338 353
    • (1965) Inform. Control , vol.8 , Issue.3 , pp. 338-353
    • Zadeh, L.A.1
  • 8
    • 0000516376 scopus 로고
    • Upper and lower probabilities induced by a multivalued mapping
    • A.P. Dempster Upper and lower probabilities induced by a multivalued mapping Ann. Math. Statist. 38 2 1967 325 339
    • (1967) Ann. Math. Statist. , vol.38 , Issue.2 , pp. 325-339
    • Dempster, A.P.1
  • 10
    • 84905363895 scopus 로고    scopus 로고
    • Generalized information theory for engineering modeling and simulation
    • C. Joslyn, and J.M. Booker Generalized information theory for engineering modeling and simulation Engineering Design Reliability Handbook vol. 9 2004 1 40
    • (2004) Engineering Design Reliability Handbook , vol.9 , pp. 1-40
    • Joslyn, C.1    Booker, J.M.2
  • 11
    • 0004204124 scopus 로고
    • The mechanical theory of heat: With its applications to the steam-engine and to the physical properties of bodies
    • R. Clausius, The mechanical theory of heat: with its applications to the steam-engine and to the physical properties of bodies, J. van Voorst, 1867.
    • (1867) J. Van Voorst
    • Clausius, R.1
  • 12
    • 84858336842 scopus 로고    scopus 로고
    • Maximum or minimum entropy generation for open systems?
    • U. Lucia Maximum or minimum entropy generation for open systems? Physica A 391 12 2012 3392 3398
    • (2012) Physica A , vol.391 , Issue.12 , pp. 3392-3398
    • Lucia, U.1
  • 13
    • 84878386282 scopus 로고    scopus 로고
    • From lotka to the entropy generation approach
    • U. Lucia, and E. Sciubba From lotka to the entropy generation approach Physica A 392 17 2013 3634 3639
    • (2013) Physica A , vol.392 , Issue.17 , pp. 3634-3639
    • Lucia, U.1    Sciubba, E.2
  • 14
    • 53749098776 scopus 로고    scopus 로고
    • Microcanonical equations obtained from the tsallis entropy
    • J. Carrete, L. Varela, and L. Gallego Microcanonical equations obtained from the tsallis entropy Physica A 387 27 2008 6752 6758
    • (2008) Physica A , vol.387 , Issue.27 , pp. 6752-6758
    • Carrete, J.1    Varela, L.2    Gallego, L.3
  • 15
    • 84882893513 scopus 로고    scopus 로고
    • Network connectivity entropy and its application on network connectivity reliability
    • L. Wu, Q. Tan, and Y. Zhang Network connectivity entropy and its application on network connectivity reliability Physica A 392 21 2013 5536 5541
    • (2013) Physica A , vol.392 , Issue.21 , pp. 5536-5541
    • Wu, L.1    Tan, Q.2    Zhang, Y.3
  • 16
    • 84888633387 scopus 로고    scopus 로고
    • Entropy and order in urban street networks
    • A. Gudmundsson, and N. Mohajeri Entropy and order in urban street networks Sci. Rep. 3 2013 03324
    • (2013) Sci. Rep. , vol.3 , pp. 03324
    • Gudmundsson, A.1    Mohajeri, N.2
  • 18
    • 0026686048 scopus 로고
    • Entropy-based algorithms for best basis selection
    • R.R. Coifman, and M.V. Wickerhauser Entropy-based algorithms for best basis selection IEEE Trans. Inform. Theory 38 2 1992 713 718
    • (1992) IEEE Trans. Inform. Theory , vol.38 , Issue.2 , pp. 713-718
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 19
    • 84855196858 scopus 로고    scopus 로고
    • Entropy of function of uncertain variables
    • W. Dai, and X. Chen Entropy of function of uncertain variables Math. Comput. Modelling 55 3 2012 754 760
    • (2012) Math. Comput. Modelling , vol.55 , Issue.3 , pp. 754-760
    • Dai, W.1    Chen, X.2
  • 20
    • 80054999161 scopus 로고    scopus 로고
    • Maximum entropy principle for uncertain variables
    • X. Chen, and W. Dai Maximum entropy principle for uncertain variables Int. J. Fuzzy Syst. 13 3 2011 232 236
    • (2011) Int. J. Fuzzy Syst. , vol.13 , Issue.3 , pp. 232-236
    • Chen, X.1    Dai, W.2
  • 21
    • 84886598187 scopus 로고    scopus 로고
    • Entropy generation and the Fokker-Planck equation
    • U. Lucia Entropy generation and the Fokker-Planck equation Physica A 393 2014 256 260
    • (2014) Physica A , vol.393 , pp. 256-260
    • Lucia, U.1
  • 23
    • 12044250952 scopus 로고
    • Boltzmann's entropy and time's arrow
    • J.L. Lebowitz Boltzmann's entropy and time's arrow Phys. Today 46 1993 32 38
    • (1993) Phys. Today , vol.46 , pp. 32-38
    • Lebowitz, J.L.1
  • 26
    • 0039878169 scopus 로고
    • Measuring total uncertainty in Dempster-Shafer theory: A novel approach
    • D. Harmanec, and G.J. Klir Measuring total uncertainty in Dempster-Shafer theory: a novel approach Int. J. Gen. Syst. 22 4 1994 405 419
    • (1994) Int. J. Gen. Syst. , vol.22 , Issue.4 , pp. 405-419
    • Harmanec, D.1    Klir, G.J.2
  • 28
    • 80255135568 scopus 로고    scopus 로고
    • Assessment of E-Commerce security using AHP and evidential reasoning
    • Y. Zhang, X. Deng, D. Wei, and Y. Deng Assessment of E-Commerce security using AHP and evidential reasoning Expert Syst. Appl. 39 3 2012 3611 3623
    • (2012) Expert Syst. Appl. , vol.39 , Issue.3 , pp. 3611-3623
    • Zhang, Y.1    Deng, X.2    Wei, D.3    Deng, Y.4
  • 29
    • 77949851470 scopus 로고    scopus 로고
    • Representing uncertainty on set-valued variables using belief functions
    • T. Denoeux, Z. Younes, and F. Abdallah Representing uncertainty on set-valued variables using belief functions Artif. Intell. 174 7-8 2010 479 499
    • (2010) Artif. Intell. , vol.174 , Issue.78 , pp. 479-499
    • Denoeux, T.1    Younes, Z.2    Abdallah, F.3
  • 30
    • 0028406490 scopus 로고
    • The transferable belief model
    • P. Smets, and R. Kennes The transferable belief model Artif. Intell. 66 2 1994 191 234
    • (1994) Artif. Intell. , vol.66 , Issue.2 , pp. 191-234
    • Smets, P.1    Kennes, R.2
  • 31
    • 79953712890 scopus 로고    scopus 로고
    • A new fuzzy Dempster MCDM method and its application in supplier selection
    • Y. Deng, and F. Chan A new fuzzy Dempster MCDM method and its application in supplier selection Expert Syst. Appl. 38 8 2011 9854 9861
    • (2011) Expert Syst. Appl. , vol.38 , Issue.8 , pp. 9854-9861
    • Deng, Y.1    Chan, F.2
  • 32
    • 77956618534 scopus 로고    scopus 로고
    • Modeling contaminant intrusion in water distribution networks: A new similarity-based DST method
    • Y. Deng, W. Jiang, and R. Sadiq Modeling contaminant intrusion in water distribution networks: A new similarity-based DST method Expert Syst. Appl. 38 1 2011 571 578
    • (2011) Expert Syst. Appl. , vol.38 , Issue.1 , pp. 571-578
    • Deng, Y.1    Jiang, W.2    Sadiq, R.3
  • 33
    • 80052032045 scopus 로고    scopus 로고
    • Risk analysis in a linguistic environment: A fuzzy evidential reasoning-based approach
    • Y. Deng, R. Sadiq, W. Jiang, and S. Tesfamariam Risk analysis in a linguistic environment: A fuzzy evidential reasoning-based approach Expert Syst. Appl. 38 12 2011 15438 15446
    • (2011) Expert Syst. Appl. , vol.38 , Issue.12 , pp. 15438-15446
    • Deng, Y.1    Sadiq, R.2    Jiang, W.3    Tesfamariam, S.4
  • 35
    • 84873382142 scopus 로고    scopus 로고
    • TOPPER: Topology prediction of transmembrane protein based on evidential reasoning
    • 10.1155/2013/123731 123731
    • X. Deng, Q. Liu, Y. Hu, and Y. Deng TOPPER: Topology prediction of transmembrane protein based on evidential reasoning Sci. World J. 2013 2013 8 10.1155/2013/123731 123731
    • (2013) Sci. World J. , vol.2013 , pp. 8
    • Deng, X.1    Liu, Q.2    Hu, Y.3    Deng, Y.4
  • 36
    • 84885182950 scopus 로고    scopus 로고
    • Supplier selection using AHP methodology extended by D numbers
    • X. Deng, Y. Hu, Y. Deng, and S. Mahadevan Supplier selection using AHP methodology extended by D numbers Expert Syst. Appl. 41 1 2014 156 167
    • (2014) Expert Syst. Appl. , vol.41 , Issue.1 , pp. 156-167
    • Deng, X.1    Hu, Y.2    Deng, Y.3    Mahadevan, S.4
  • 37
    • 84885957402 scopus 로고    scopus 로고
    • Environmental impact assessment based on D numbers
    • X. Deng, Y. Hu, Y. Deng, and S. Mahadevan Environmental impact assessment based on D numbers Expert Syst. Appl. 41 2 2014 635 643
    • (2014) Expert Syst. Appl. , vol.41 , Issue.2 , pp. 635-643
    • Deng, X.1    Hu, Y.2    Deng, Y.3    Mahadevan, S.4
  • 38
    • 84875218657 scopus 로고    scopus 로고
    • Identifying influential nodes in weighted networks based on evidence theory
    • D. Wei, X. Deng, X. Zhang, Y. Deng, and S. Mahadevan Identifying influential nodes in weighted networks based on evidence theory Physica A 392 10 2013 2564 2575
    • (2013) Physica A , vol.392 , Issue.10 , pp. 2564-2575
    • Wei, D.1    Deng, X.2    Zhang, X.3    Deng, Y.4    Mahadevan, S.5
  • 39
    • 84882894903 scopus 로고    scopus 로고
    • A modified evidential methodology of identifying influential nodes in weighted networks
    • C. Gao, D. Wei, Y. Hu, S. Mahadevan, and Y. Deng A modified evidential methodology of identifying influential nodes in weighted networks Physica A 392 21 2013 5490 5500
    • (2013) Physica A , vol.392 , Issue.21 , pp. 5490-5500
    • Gao, C.1    Wei, D.2    Hu, Y.3    Mahadevan, S.4    Deng, Y.5
  • 40
    • 0032484444 scopus 로고    scopus 로고
    • Nonextensivity and multifractality in low-dimensional dissipative systems
    • M.L. Lyra, and C. Tsallis Nonextensivity and multifractality in low-dimensional dissipative systems Phys. Rev. Lett. 80 1 1998 53
    • (1998) Phys. Rev. Lett. , vol.80 , Issue.1 , pp. 53
    • Lyra, M.L.1    Tsallis, C.2
  • 41
    • 0035879433 scopus 로고    scopus 로고
    • Non-linear kinetics underlying generalized statistics
    • DOI 10.1016/S0378-4371(01)00184-4, PII S0378437101001844
    • G. Kaniadakis Non-linear kinetics underlying generalized statistics Physica A 296 3 2001 405 425 (Pubitemid 32594505)
    • (2001) Physica A: Statistical Mechanics and its Applications , vol.296 , Issue.3-4 , pp. 405-425
    • Kaniadakis, G.1
  • 42
    • 33750083129 scopus 로고    scopus 로고
    • Unifying laws in multidisciplinary power-law phenomena: Fixed-point universality and nonextensive entropy
    • G.M. Murray, C. Tsallis, Oxford University Press
    • A. Robledo Unifying laws in multidisciplinary power-law phenomena: fixed-point universality and nonextensive entropy G.M. Murray, C. Tsallis, Nonextensive Entropy - Interdisciplinary Applications 2004 Oxford University Press 63 77
    • (2004) Nonextensive Entropy - Interdisciplinary Applications , pp. 63-77
    • Robledo, A.1
  • 43
    • 41649097135 scopus 로고    scopus 로고
    • Statistical approach of the irreversible entropy variation
    • U. Lucia Statistical approach of the irreversible entropy variation Physica A 387 14 2008 3454 3460
    • (2008) Physica A , vol.387 , Issue.14 , pp. 3454-3460
    • Lucia, U.1
  • 44
    • 67650177021 scopus 로고    scopus 로고
    • Irreversibility, entropy and incomplete information
    • U. Lucia Irreversibility, entropy and incomplete information Physica A 388 19 2009 4025 4033
    • (2009) Physica A , vol.388 , Issue.19 , pp. 4025-4033
    • Lucia, U.1
  • 45
    • 84879688465 scopus 로고    scopus 로고
    • Thermodynamic paths and stochastic order in open systems
    • U. Lucia Thermodynamic paths and stochastic order in open systems Physica A 392 18 2013 3912 3919
    • (2013) Physica A , vol.392 , Issue.18 , pp. 3912-3919
    • Lucia, U.1
  • 46
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • C. Tsallis Possible generalization of Boltzmann-Gibbs statistics J. Statist. Phys. 52 1-2 1988 479 487
    • (1988) J. Statist. Phys. , vol.52 , Issue.12 , pp. 479-487
    • Tsallis, C.1
  • 48
    • 67949089638 scopus 로고    scopus 로고
    • Nonadditive entropy: The concept and its use
    • C. Tsallis Nonadditive entropy: the concept and its use Eur. Phys. J. A 40 3 2009 257 266
    • (2009) Eur. Phys. J. A , vol.40 , Issue.3 , pp. 257-266
    • Tsallis, C.1
  • 49
    • 73349138004 scopus 로고    scopus 로고
    • Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years
    • C. Tsallis Nonadditive entropy and nonextensive statistical mechanics-an overview after 20 years Braz. J. Phys. 39 2A 2009 337 356
    • (2009) Braz. J. Phys. , vol.39 , Issue.2 A , pp. 337-356
    • Tsallis, C.1
  • 50
    • 77950490101 scopus 로고    scopus 로고
    • Nonadditive entropy and nonextensive statistical mechanics - Some central concepts and recent applications
    • C. Tsallis, and U. Tirnakli Nonadditive entropy and nonextensive statistical mechanics - some central concepts and recent applications J. Phys. Conf. Ser. 201 2010 012001
    • (2010) J. Phys. Conf. Ser. , vol.201 , pp. 012001
    • Tsallis, C.1    Tirnakli, U.2
  • 53
    • 0033242934 scopus 로고    scopus 로고
    • Nonextensive statistics: Theoretical, experimental and computational evidences and connections
    • C. Tsallis Nonextensive statistics: theoretical, experimental and computational evidences and connections Braz. J. Phys. 29 1 1999 1 35
    • (1999) Braz. J. Phys. , vol.29 , Issue.1 , pp. 1-35
    • Tsallis, C.1
  • 54
    • 0035372083 scopus 로고    scopus 로고
    • Incomplete statistics: Nonextensive generalizations of statistical mechanics
    • DOI 10.1016/S0960-0779(00)00113-2
    • Q.A. Wang Incomplete statistics: nonextensive generalizations of statistical mechanics Chaos Solitons Fractals 12 8 2001 1431 1437 (Pubitemid 32264246)
    • (2001) Chaos, solitons and fractals , vol.12 , Issue.8 , pp. 1431-1437
    • Wang, Q.A.1
  • 55
    • 0003293190 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics and thermodynamics: Historical background and present status
    • S. Abe, Y. Okamoto, Lecture Notes in Physics Springer
    • C. Tsallis Nonextensive statistical mechanics and thermodynamics: historical background and present status Nonextensive Statistical Mechanics and its Applications S. Abe, Y. Okamoto, Lecture Notes in Physics vol. 560 2001 Springer 3 98
    • (2001) Nonextensive Statistical Mechanics and Its Applications , vol.560 , pp. 3-98
    • Tsallis, C.1
  • 56
    • 20844442076 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics: Construction and physical interpretation
    • G.M. Murray, C. Tsallis, Oxford University Press
    • C. Tsallis Nonextensive statistical mechanics: construction and physical interpretation G.M. Murray, C. Tsallis, Nonextensive Entropy - Interdisciplinary Applications 2004 Oxford University Press 1 53
    • (2004) Nonextensive Entropy - Interdisciplinary Applications , pp. 1-53
    • Tsallis, C.1
  • 57
    • 0037900861 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics and economics
    • C. Tsallis, C. Anteneodo, L. Borland, and R. Osorio Nonextensive statistical mechanics and economics Physica A 324 1 2003 89 100
    • (2003) Physica A , vol.324 , Issue.1 , pp. 89-100
    • Tsallis, C.1    Anteneodo, C.2    Borland, L.3    Osorio, R.4
  • 58
    • 84884673373 scopus 로고    scopus 로고
    • Nonextensivity and entropy of astrophysical sources
    • A. Rosa Jr, J. de Jesus, and M. Moret Nonextensivity and entropy of astrophysical sources Physica A 392 23 2013 6079 6083
    • (2013) Physica A , vol.392 , Issue.23 , pp. 6079-6083
    • Rosa, Jr.A.1    De Jesus, J.2    Moret, M.3
  • 59
    • 46649087961 scopus 로고    scopus 로고
    • Remarks on Measuring ambiguity in the evidence theory
    • G.J. Klir, and H. Lewis Remarks on Measuring ambiguity in the evidence theory IEEE Trans. Syst. Man Cybern. A 38 4 2008 995 999
    • (2008) IEEE Trans. Syst. Man Cybern. A , vol.38 , Issue.4 , pp. 995-999
    • Klir, G.J.1    Lewis, H.2


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