Journal ArticleDOI
Applicability analysis of fuzzy inference by means of generalized Dempster-Shafer theory
TLDR
A convention to update prior knowledge regarding the applicability of fuzzy implication operators, with respect to fuzzy evidences pertaining to the physical system under consideration, is presented.Abstract:
The generalization of Dempster-Shafer (D-S) theory to fuzzy sets provides means for evidential reasoning on basis of fuzzy information Fuzzy implication operators are used to turn partial fuzzy knowledge about a physical system into an inference engine Presently there are more than 72 fuzzy implication operators known and investigated, evoking demand for strategies of finding the best performing fuzzy implication operator for the physical system under investigation In this paper the authors propose such a concept based on generalized D-S theory A convention to update prior knowledge regarding the applicability of fuzzy implication operators, with respect to fuzzy evidences pertaining to the physical system under consideration, is presentedread more
Citations
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Journal ArticleDOI
The reduction and fusion of fuzzy covering systems based on the evidence theory
TL;DR: This paper studies reduction of a fuzzy covering and fusion of multi-fuzzy covering systems based on the evidence theory and rough set theory, by using the method of maximum flow.
Journal ArticleDOI
On Generalized Fuzzy Belief Functions in Infinite Spaces
Wei-Zhi Wu,Yee Leung,Ju-Sheng Mi +2 more
TL;DR: 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.
Book
Visions of a Generalized Probability Theory
TL;DR: It is argued that the fruitful interaction of computer vision and belief calculus is capable of stimulating significant advances in both fields, and some initial steps towards a generalization of the notion of total probability to belief functions are taken.
Journal ArticleDOI
Analysis of the operators involved in the definition of the implication functions and in the fuzzy inference process
TL;DR: This paper analyzes the performance of some fuzzy implications proposed in the bibliography together with the operators needed for their definition and for the fuzzy inference process using the ANalysis Of the VAriance (ANOVA).
Journal ArticleDOI
$L_{p}$ Consonant Approximations of Belief Functions
TL;DR: This paper solves the problem of approximating a belief measure with a necessity measure or “consonant belief function” in a geometric framework and seeks approximations that minimize Lp norms.
References
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Journal ArticleDOI
Outline of a New Approach to the Analysis of Complex Systems and Decision Processes
TL;DR: By relying on the use of linguistic variables and fuzzy algorithms, the approach provides an approximate and yet effective means of describing the behavior of systems which are too complex or too ill-defined to admit of precise mathematical analysis.
Book ChapterDOI
Upper and Lower Probabilities Induced by a Multivalued Mapping
TL;DR: A distinctive feature of the present approach is a rule for conditioning, or more generally, arule for combining sources of information, as discussed in Sects.
Journal ArticleDOI
Application of fuzzy algorithms for control of simple dynamic plant
TL;DR: In this article, the authors describe a scheme in which a fuzzy algorithm is used to control plant, in this case, a laboratory-built steam engine, implemented as an interpreter of a set of rules expressed as fuzzy conditional statements.
Journal ArticleDOI
Fuzzy logic and approximate reasoning
TL;DR: F fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very false, etc.
Journal ArticleDOI
Comparison of fuzzy reasoning methods
TL;DR: This paper deals with the properties of their methods in the case of 'generalized modus tollens', and investigates the other new fuzzy reasoning methods obtained by introducing the implication rules of many valued logic systems.