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Random Fuzzy Sets and Their Applications
"... This chapter presents a rigorous theory of random fuzzy sets in its most general form. Some applications are included. ..."
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This chapter presents a rigorous theory of random fuzzy sets in its most general form. Some applications are included.
Integrals of Random Fuzzy Sets
"... This paper tries to give a systematic investigation of integration of random fuzzy sets. Besides the widely used Aumannintegral adaptions of Pettis and Bochnerintegration for random elements in Banach spaces are introduced. The mutual relationships of these competing concepts will be explored comp ..."
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Cited by 2 (0 self)
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This paper tries to give a systematic investigation of integration of random fuzzy sets. Besides the widely used Aumannintegral adaptions of Pettis and Bochnerintegration for random elements in Banach spaces are introduced. The mutual relationships of these competing concepts will be explored
RANDOM FUZZY SETS
"... It is well known that in decision making under uncertainty, while we are guided by a general (and abstract) theory of probability and of statistical inference, each specific type of observed data requires its own analysis. Thus, while textbook techniques treat precisely observed data in multivariate ..."
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coarse data. In this chapter, we consider coarse data which are both random and fuzzy. Fuzziness is a form of imprecision often encountered in perceptionbased information. In order to develop statistical reference procedures based on such data, we need to model random fuzzy data as bona fide random
Random Fuzzy Alternating Renewal Processes
"... Random fuzzy theory offers an appropriate mechanism to model random fuzzy phenomena, with a random fuzzy variable defined as a function from a credibility space to a collection of random variables. Based on this theory, this paper presents the results of an investigation into the representation of p ..."
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Random fuzzy theory offers an appropriate mechanism to model random fuzzy phenomena, with a random fuzzy variable defined as a function from a credibility space to a collection of random variables. Based on this theory, this paper presents the results of an investigation into the representation
Random Fuzzy Delayed Renewal Processes
"... In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated, and ..."
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In renewal processes, fuzziness and randomness often coexist intrinsically. Based on the random fuzzy theory, a delayed renewal process with random fuzzy interarrival times is proposed in this paper. Relations between the renewal number and interarrival times in such a process are investigated
Conditions of Convergence in Distribution for Random Fuzzy Variables
"... Abstract: A random fuzzy variable is a function from a possibility space to the set of random variables. Based on the chance distributions for random fuzzy variables, some sufficient and necessary conditions of convergence of random fuzzy sequence in distribution are investigated. ..."
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Abstract: A random fuzzy variable is a function from a possibility space to the set of random variables. Based on the chance distributions for random fuzzy variables, some sufficient and necessary conditions of convergence of random fuzzy sequence in distribution are investigated.
Random Fuzzy Networks
"... No model can be considered effective if fundamentally it is more complicated than what it’s trying to represent. However, extreme simplification may potentially overlook important nonprimary features, or even neglect the possibil ..."
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No model can be considered effective if fundamentally it is more complicated than what it’s trying to represent. However, extreme simplification may potentially overlook important nonprimary features, or even neglect the possibil
Fuzzy extractors: How to generate strong keys from biometrics and other noisy data. Technical Report 2003/235, Cryptology ePrint archive, http://eprint.iacr.org, 2006. Previous version appeared at EUROCRYPT 2004
 34 [DRS07] [DS05] [EHMS00] [FJ01] Yevgeniy Dodis, Leonid Reyzin, and Adam
, 2004
"... We provide formal definitions and efficient secure techniques for • turning noisy information into keys usable for any cryptographic application, and, in particular, • reliably and securely authenticating biometric data. Our techniques apply not just to biometric information, but to any keying mater ..."
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Cited by 532 (38 self)
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material that, unlike traditional cryptographic keys, is (1) not reproducible precisely and (2) not distributed uniformly. We propose two primitives: a fuzzy extractor reliably extracts nearly uniform randomness R from its input; the extraction is errortolerant in the sense that R will be the same even
Random Fuzzy metric space with cyclic contraction
"... Abstract: In the paper, we define a random fuzzy cyclic contraction and prove the existence and uniqueness of fixed points in a random fuzzy metric space. Introduction and preliminaries In 1965, Zadeh [1] introduced the concept of fuzzy sets, as a new way to represent the vagueness in everyday life ..."
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Abstract: In the paper, we define a random fuzzy cyclic contraction and prove the existence and uniqueness of fixed points in a random fuzzy metric space. Introduction and preliminaries In 1965, Zadeh [1] introduced the concept of fuzzy sets, as a new way to represent the vagueness in everyday
Short Papers Modeling Random Fuzzy Renewal Reward Processes
"... Abstract—This short paper discusses the modeling of random fuzzy renewal reward processes in which the interarrival times and rewards are represented by nonnegative random fuzzy variables. Based on random fuzzy theory, a random fuzzy variable denotes a measurable function from a credibility space to ..."
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Abstract—This short paper discusses the modeling of random fuzzy renewal reward processes in which the interarrival times and rewards are represented by nonnegative random fuzzy variables. Based on random fuzzy theory, a random fuzzy variable denotes a measurable function from a credibility space
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