Properties of measures of information in evidence and possibility theories
Fuzzy Sets and Systems - Special Issue: Measures of Uncertainty
The Combination of Evidence in the Transferable Belief Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fuzzy sets in approximate reasoning, part 1: inference with possibility distributions
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
The rough sets theory and evidence theory
Fundamenta Informaticae
Computing generalized belief functions for continuous fuzzy sets
International Journal of Approximate Reasoning
Fuzzy set connectives as combinations of belief structures
Information Sciences: an International Journal
Fuzzy implication operators and generalized fuzzy method of cases
Fuzzy Sets and Systems
Artificial Intelligence
From rough set theory to evidence theory
Advances in the Dempster-Shafer theory of evidence
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
On the relationship of extended necessity measures to implication operators on the unit interval
Information Sciences—Intelligent Systems: An International Journal
The normative representation of quantified beliefs by belief functions
Artificial Intelligence
Data mining using extensions of the rough set model
Journal of the American Society for Information Science - Special issue: knowledge discovery and data mining
Interpretations of belief functions in the theory of rough sets
Information Sciences: an International Journal - From rough sets to soft computing
Constructive and algebraic methods of the theory of rough sets
Information Sciences: an International Journal
Axiomatics for fuzzy rough sets
Fuzzy Sets and Systems
Relational interpretations of neighborhood operators and rough set approximation operators
Information Sciences—Informatics and Computer Science: An International Journal
Modeling vague beliefs using fuzzy-valued belief structures
Fuzzy Sets and Systems - Special issue on fuzzy numbers and uncertainty
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
A comparative study of fuzzy rough sets
Fuzzy Sets and Systems
Belief functions generated by fuzzy and randomized compatibility relations
Fuzzy Sets and Systems - Non-additive measures and random processes
An axiomatic characterization of a fuzzy generalization of rough sets
Information Sciences—Informatics and Computer Science: An International Journal
Knowledge reduction in random information systems via Dempster-Shafer theory of evidence
Information Sciences: an International Journal
Fuzzy subsethood and belief functions of fuzzy events
Fuzzy Sets and Systems
Learning fuzzy rules from fuzzy samples based on rough set technique
Information Sciences: an International Journal
Attribute reduction based on evidence theory in incomplete decision systems
Information Sciences: an International Journal
Measures of general fuzzy rough sets on a probabilistic space
Information Sciences: an International Journal
On characterizations of ( I,T)-fuzzy rough approximation operators
Fuzzy Sets and Systems
A Geometric Approach to the Theory of Evidence
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory
IEEE Transactions on Fuzzy Systems
Generalization of the Dempster-Shafer theory: a fuzzy-valued measure
IEEE Transactions on Fuzzy Systems
On the generalization of fuzzy rough sets
IEEE Transactions on Fuzzy Systems
Fuzzy probabilistic approximation spaces and their information measures
IEEE Transactions on Fuzzy Systems
Fuzzy Rough Sets: The Forgotten Step
IEEE Transactions on Fuzzy Systems
Knowledge reduction in random incomplete information systems via evidence theory
RSKT'10 Proceedings of the 5th international conference on Rough set and knowledge technology
IEEE Transactions on Fuzzy Systems
Attribute reduction based on generalized fuzzy evidence theory in fuzzy decision systems
Fuzzy Sets and Systems
Attribute reduction in random information systems with fuzzy decisions
RSFDGrC'11 Proceedings of the 13th international conference on Rough sets, fuzzy sets, data mining and granular computing
The reduction and fusion of fuzzy covering systems based on the evidence theory
International Journal of Approximate Reasoning
On Some Mathematical Structures of T-Fuzzy Rough Set Algebras in Infinite Universes of Discourse
Fundamenta Informaticae - Advances in Rough Set Theory
Knowledge Reduction in Random Incomplete Decision Tables via Evidence Theory
Fundamenta Informaticae - Rough Sets and Knowledge Technology (RSKT 2010)
Generalized fuzzy rough approximation operators determined by fuzzy implicators
International Journal of Approximate Reasoning
| Hi-index | 0.00 |
Determined by a fuzzy implication operator, a general type of fuzzy belief structure and its induced dual pair of fuzzy belief and plausibility functions in infinite universes of discourse are first defined. Relationship between the belief-structure-based and the belief-space-based fuzzy Dempster-Shafer models is then established. It is shown that the lower and upper fuzzy probabilities induced by the fuzzy belief space yield a dual pair of fuzzy belief and plausibility functions. For any fuzzy belief structure, there must exist a fuzzy belief space such that the fuzzy belief and plausibility functions defined by the given fuzzy belief structure are just the lower and upper fuzzy probabilities induced by the fuzzy belief space, respectively. Essential properties of the fuzzy belief and plausibility functions are also examined. The fuzzy belief and plausibility functions are, respectively, a fuzzy monotone Choquet capacity and a fuzzy alternating Choquet capacity of infinite order.