Results 231 to 240 of about 151,921 (279)

Fuzzy probability over fuzzy -field with fuzzy topological spaces

Fuzzy Sets and Systems, 2000
In the classical paper [J. Math. Anal. Appl. 23, 421-427 (1968; Zbl 0174.49002)] \textit{L. A. Zadeh} defined a probability of a fuzzy event \(\mu:\Omega\to [0,1]\) as \(m(\mu)=\int \mu dP\), where \((\Omega,\mathcal{F},P)\) is a classical probability space. Since then many authors have generalized this definition into different directions.
Chiang, Jershan, Yao, Jing-Shing
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ON DISCRIMINATION OF FUZZY STATES IN PROBABILITY SPACE

Kybernetes, 1977
This paper deals with the discrimination problem of the states which involve two types of uncertainty: “randomness” and “fuzziness.” This problem is very important in the fields of soft science such as management science, sociology, eta, since the object of discrimination involves these types of uncertainty.
Asai, K., Tanaka, H., Okuda, T.
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Correlation of intuitionistic fuzzy sets in probability spaces

Fuzzy Sets and Systems, 1995
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Hong, Dug Hun, Hwang, Seok Yoon
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Fuzzy probability system: fuzzy-probability space (1)

Fuzzy Sets and Systems, 2001
Abstract The present paper discusses “The major objective of the theory of probability”, and hence provides a fuzzy probability system, which links both Von Mises's probability system and Kolmogorov's probability system to be a new one. Such a probability system has a more original theoretical starting point, and appears to deal with such uncertainty
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Probability measures over fuzzy spaces

International Journal of General Systems, 2007
A probability measure is defined on subsets of an underlying space. In classical probability theory, both the underlying space and the subsets whose probabilities we measure are crisp subsets. Zadeh provided an extension of this to the case in which the subsets whose probabilities we are measuring can be fuzzy. Here, we provide a further generalization
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On fuzziness in a probability space

Journal of Discrete Mathematical Sciences and Cryptography, 1998
Abstract Our main purpose here is to introduce the concepts of fuzzy theory and its impact on Probability structure. We develop here Fuzzy probability algebra and derive theorems analogous to its classical approach. We extend here the Czogala and Wrocinski [1] approach to seperativity between fuzzy subsets and derive Bayes formula based on complete ...
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Probability theory in fuzzy sample spaces

Metrika, 2004
This paper tries to develop a neat and comprehensive probability theory for sample spaces where the events are fuzzy subsets of Open image in new window The investigations are focussed on the discussion how to equip those sample spaces with suitable σ-algebras and metrics.
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Fuzzy and probability vectors as elements of a vector space

Information Sciences, 1985
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Shvaytser, Haim, Peleg, Shmuel
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