On the axiomatic requirement of range to measure uncertainty

[1]  C. E. SHANNON,et al.  A mathematical theory of communication , 1948, MOCO.

[2]  Claude E. Shannon,et al.  The mathematical theory of communication , 1950 .

[3]  William Feller,et al.  An Introduction to Probability Theory and Its Applications , 1951 .

[4]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[5]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[6]  C. Tsallis Possible generalization of Boltzmann-Gibbs statistics , 1988 .

[7]  S M Pincus,et al.  Approximate entropy as a measure of system complexity. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Ronald R. Coifman,et al.  Entropy-based algorithms for best basis selection , 1992, IEEE Trans. Inf. Theory.

[9]  V. Anderson,et al.  Information-theoretic measure of uncertainty due to quantum and thermal fluctuations. , 1993, Physical review. D, Particles and fields.

[10]  Joel L. Lebowitz,et al.  Boltzmann's Entropy and Time's Arrow , 1993 .

[11]  Hidetomo Ichihashi,et al.  Maximum Entropy Algorithms for Uncertainty Measures , 1993, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[12]  G. Klir,et al.  MEASURING TOTAL UNCERTAINTY IN DEMPSTER-SHAFER THEORY: A NOVEL APPROACH , 1994 .

[13]  Philippe Smets,et al.  The Transferable Belief Model , 1994, Artif. Intell..

[14]  A. Plastino,et al.  GENERALIZED ENTROPY AS A MEASURE OF QUANTUM UNCERTAINTY , 1996 .

[15]  C. Tsallis,et al.  The role of constraints within generalized nonextensive statistics , 1998 .

[16]  C. Tsallis,et al.  Nonextensivity and Multifractality in Low-Dimensional Dissipative Systems , 1997, cond-mat/9709226.

[17]  G. Klir,et al.  Uncertainty-based information: Elements of generalized information theory (studies in fuzziness and soft computing). , 1998 .

[18]  C. Tsallis Nonextensive statistics: theoretical, experimental and computational evidences and connections , 1999, cond-mat/9903356.

[19]  G. Kaniadakis,et al.  Non-linear kinetics underlying generalized statistics , 2001 .

[20]  Qiuping A. Wang Incomplete statistics: nonextensive generalizations of statistical mechanics , 2001 .

[21]  Constantino Tsallis,et al.  I. Nonextensive Statistical Mechanics and Thermodynamics: Historical Background and Present Status , 2001 .

[22]  Celia Anteneodo,et al.  Nonextensive statistical mechanics and economics , 2003, ArXiv.

[23]  M Cliff Joslyn and Jane Booker,et al.  Generalized Information Theory for Engineering Modeling and Simulation , 2004 .

[24]  Éloi Bossé,et al.  Measuring ambiguity in the evidence theory , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[25]  Constantino Tsallis,et al.  Nonadditive entropy: The concept and its use , 2008, 0812.4370.

[26]  George J. Klir,et al.  Remarks on “Measuring Ambiguity in the Evidence Theory” , 2008, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[27]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[28]  U. Lucia Statistical approach of the irreversible entropy variation , 2008 .

[29]  Microcanonical equations obtained from the Tsallis entropy , 2008, 0802.3600.

[30]  Umberto Lucia,et al.  Irreversibility, entropy and incomplete information , 2009 .

[31]  Constantino Tsallis,et al.  Nonadditive entropy and nonextensive statistical mechanics - An overview after 20 years , 2009 .

[32]  C. Tsallis Introduction to Nonextensive Statistical Mechanics: Approaching a Complex World , 2009 .

[33]  Xin Gao Some Properties of Continuous Uncertain Measure , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[34]  Constantino Tsallis,et al.  Nonadditive entropy and nonextensive statistical mechanics – Some central concepts and recent applications , 2010 .

[35]  Thierry Denoeux,et al.  Representing uncertainty on set-valued variables using belief functions , 2010, Artif. Intell..

[36]  Yong Deng,et al.  Modeling contaminant intrusion in water distribution networks: A new similarity-based DST method , 2011, Expert Syst. Appl..

[37]  Solomon Tesfamariam,et al.  Risk analysis in a linguistic environment: A fuzzy evidential reasoning-based approach , 2011, Expert Syst. Appl..

[38]  Yong Deng,et al.  A new fuzzy dempster MCDM method and its application in supplier selection , 2011, Expert Syst. Appl..

[39]  Xiaowei Chen,et al.  Maximum Entropy Principle for Uncertain Variables , 2011 .

[40]  Wei Dai,et al.  Entropy of function of uncertain variables , 2012, Math. Comput. Model..

[41]  Sankaran Mahadevan,et al.  Evidential cognitive maps , 2012, Knowl. Based Syst..

[42]  U. Lucia Maximum or minimum entropy generation for open systems , 2012 .

[43]  Xinyang Deng,et al.  Assessment of E-Commerce security using AHP and evidential reasoning , 2012, Expert Syst. Appl..

[44]  U. Lucia Thermodynamic paths and stochastic order in open systems , 2013 .

[45]  Marcelo A. Moret,et al.  Nonextensivity and entropy of astrophysical sources , 2013 .

[46]  Jane M. Booker,et al.  New developments in uncertainty assessment and uncertainty management , 2013, Expert Syst. Appl..

[47]  Yong Hu,et al.  TOPPER: Topology Prediction of Transmembrane Protein Based on Evidential Reasoning , 2013, TheScientificWorldJournal.

[48]  Nahid Mohajeri,et al.  Entropy and order in urban street networks , 2013, Scientific Reports.

[49]  Tsallis entropy approach to radiotherapy treatments , 2011, 1104.5088.

[50]  S. Mahadevan,et al.  Identifying influential nodes in weighted networks based on evidence theory , 2013 .

[51]  S. Mahadevan,et al.  A modified evidential methodology of identifying influential nodes in weighted networks , 2013 .

[52]  Yuehui Zhang,et al.  Network connectivity entropy and its application on network connectivity reliability , 2013 .

[53]  Enrico Sciubba,et al.  From Lotka to the entropy generation approach , 2013 .

[54]  Xinyang Deng,et al.  Supplier selection using AHP methodology extended by D numbers , 2014, Expert Syst. Appl..

[55]  Sankaran Mahadevan,et al.  Environmental impact assessment based on D numbers , 2014, Expert Syst. Appl..

[56]  U. Lucia Entropy generation and the Fokker-Planck equation , 2014 .

[57]  Rudolf Clausius,et al.  The Mechanical Theory of Heat: With Its Applications to the Steam-Engine and to the Physical Properties of Bodies , 2015 .