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The geometry of consonant belief functions: Simplicial complexes of necessity measures
10 references·1 citing·41 second hop
The geometry of consonant belief functions: Simplicial complexes of necessity measures (2009)The geometry of consonant belief function…A Geometric Approach to the Theory of Evidence (2008)A Geometric Approach to the T…Geometry of Dempster's Rule of Combination (2004)Geometry of Dempster's Rule o…Generalization of the Dempster-Shafer theory: a fuzzy-valued measure (1999)Generalization of the Dempste…A class of fuzzy measures generated from a Dempster-Shafer belief structure (1999)A class of fuzzy measures gen…Dempster-Shafer theory for sensor fusion in autonomous mobile robots (1998)Dempster-Shafer theory for se…Using evidence theory for the integration of distributed databases (1997)Using evidence theory for the…Constructing fuzzy measures in expert systems (1997)Constructing fuzzy measures i…Consonant approximations of belief functions (1990)Consonant approximations of b…A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets† (1986)A SET-THEORETIC VIEW OF BELIE…A mathematical theory of evidence (1977)A mathematical theory of evid…$L_{p}$ Consonant Approximations of Belief Functions (2013)$L_{p}$ Consonant Approximati…Fuzzy sets (1965)Fuzzy Sets and Systems - Theory and Applications (1980)Representation and combination of uncertainty with belief functions and possibility measures (1988)Foundations of Measurement (1990)Combination of Evidence in Dempster-Shafer Theory (2002)Constructing Probability Boxes and Dempster-Shafer Structures (2003)Advances in the Dempster-Shafer theory of evidence (1994)The Ordered Weighted Averaging Operators: Theory and Applications (1997)On the entropy of fuzzy measures (2000)On the cardinality index and attitudinal character of fuzzy measures (2002)Uncertainty representation using fuzzy measures (2002)Uncertainty modeling and decision support (2004)Fuzzy Measure Theory (1992)A new algorithm for identifying fuzzy measures and its application to pattern recognition (2002)Restored fuzzy measures in expert decision-making (2004)Fuzzy process control: construction of control charts with fuzzy numbers (2005)Modeling attitude to risk in human decision processes: An application of fuzzy measures (2006)Operations research: An introduction (1997)The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties (2004)Decision Making in a Fuzzy Environment (2007)Generalizing the Dempster–Shafer Theory to Fuzzy Sets (2008)On Generalized Fuzzy Belief Functions in Infinite Spaces (2009)Belief and Plausibility Measures on Intuitionistic Fuzzy Sets with Construction of Belief-Plausibility TOPSIS (2020)Implementing Dempster's rule for hierarchical evidence (1987)The combination of evidence in the transferable belief model (1990)Approximations for efficient computation in the theory of evidence (1993)On the relative belief transform (2012)Geometric views on conflicting mass functions: From distances to angles (2015)Approximation algorithms and decision making in the Dempster-Shafer theory of evidence — An empirical study (1997)Evidence Combination From an Evolutionary Game Theory Perspective (2015)An evidential sensor fusion method in fault diagnosis (2016)Deng entropy (2016)A simple view of the Dempster-Shafer theory of evidence and its implication for the rule of combination (1986)Evidence combination in medical data mining (2004)Developing pessimistic–optimistic risk-based methods for multi-sensor fusion: An interval-valued evidence theory approach (2018)A definition of a nonprobabilistic entropy in the setting of fuzzy sets theory (1972)A survey: Optimization and applications of evidence fusion algorithm based on Dempster–Shafer theory (2022)Evidential reasoning rule for evidence combination (2013)k-order additive discrete fuzzy measures and their representation (1997)A new distance between two bodies of evidence (2001)A comprehensive framework for verification, validation, and uncertainty quantification in scientific computing (2011)
this work references cited by second hop

References

  • 1977A mathematical theory of evidence1,802 cited
  • 1986A SET-THEORETIC VIEW OF BELIEF FUNCTIONS Logical operations and approximations by fuzzy sets†428 cited
  • 1998Dempster-Shafer theory for sensor fusion in autonomous mobile robots236 cited
  • 1990Consonant approximations of belief functions197 cited
  • 2008A Geometric Approach to the Theory of Evidence158 cited
  • 1999A class of fuzzy measures generated from a Dempster-Shafer belief structure100 cited
  • 1997Constructing fuzzy measures in expert systems87 cited
  • 1999Generalization of the Dempster-Shafer theory: a fuzzy-valued measure74 cited
  • 1997Using evidence theory for the integration of distributed databases49 cited
  • 2004Geometry of Dempster's Rule of Combination44 cited

Cited by

  • 2013$L_{p}$ Consonant Approximations of Belief Functions25 cited

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