Results 251 to 260 of about 5,472,482 (287)
Some of the next articles are maybe not open access.
New Fuzzy Probability Spaces and Fuzzy Random Variables Based on Gradual Numbers
2014In this paper, we deal with special generalization of probability measures and random variables by considering their values in the set of gradual numbers. Firstly, the concept of gradual probability measures is introduced and some of its properties are discussed.
Cai-Li Zhou, Peng Wang
openaire +1 more source
On the Existence of Natural Fuzzy Topologies on Spaces of Probability Measures
Mathematische Nachrichten, 1984For a separable metric space X with metric topology \({\mathcal T}\), consider the set \({\mathcal M}(X)\) of all probability measures on the Borel \(\sigma\)- algebra on X. For a subbasis \({\mathcal S}\) of \({\mathcal T}\), the author constructs a natural fuzzy topology \(\Delta\) (X,\({\mathcal S})\) so that X is canonically homeomorphic to the set
openaire +1 more source
Probability measures on fuzzy events in phase space
Journal of Mathematical Physics, 1976The notion of fuzzy sample point is introduced, and generalized probability measures on fuzzy events are defined. This leads to the concept of spectral measure on fuzzy events. It is shown that such measures can be associated with quantum-mechanical states when the fuzzy elementary events are represented by Gaussian distributions on phase space.
openaire +2 more sources
Journal of Intelligent & Fuzzy Systems, 2018
Three way decision model, as a new and meaningful decision making method, has attracted much attention and various results and applications have been reported. This paper investigates decision-theoretic rough set (DTRS) approach in the framework of multi-covering approximation spaces.
Liu, Caihui +3 more
openaire +1 more source
Three way decision model, as a new and meaningful decision making method, has attracted much attention and various results and applications have been reported. This paper investigates decision-theoretic rough set (DTRS) approach in the framework of multi-covering approximation spaces.
Liu, Caihui +3 more
openaire +1 more source
The conjugation of fuzzy probability spaces to the unit interval
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
THE BAYES PRINCIPLE AND THE ENTROPY ON FUZZY PROBABILITY SPACES
International Journal of General Systems, 1991We present a fuzzy analogue of Bayes principle for general fuzzy probability spaces. Its validity leads to Piasecki's concept of a fuzzy probability space. For this type of fuzzy probability space, we define the notion of entropy and present fuzzy dynamical systems, their conjugation and isomorphism.
openaire +1 more source
The Radon-Nikodým theorem for fuzzy probability spaces
Fuzzy Sets and Systems, 1992The Radon-Nikodým theorem is proved for fuzzy observables. Some possibilities of applications are given. In my opinion, the signed measure is not a real generalization of fuzzy \(P\)-measure because of: at the first --- the case \(m(\mathbf{1}_ x)=0\) is not interested; at the second --- for each signed measure \(m\) such that \(m(\mathbf{1}_ x)
openaire +2 more sources
International Journal of Fuzzy Computation and Modelling, 2016
Random variable basically addresses a probability space and fuzzy random variable (FRV) will address the fuzzy probability space. Concepts of FRV valued functions such as exponential function, logarithmic function and power function have been already researched.
Rituparna Chutia, D. Datta
openaire +1 more source
Random variable basically addresses a probability space and fuzzy random variable (FRV) will address the fuzzy probability space. Concepts of FRV valued functions such as exponential function, logarithmic function and power function have been already researched.
Rituparna Chutia, D. Datta
openaire +1 more source
On the existence of probability measures on fuzzy measurable spaces
Fuzzy Sets and Systems, 1991An \(F\)-quantum space [see the author and the reviewer, Fuzzy Sets Syst. 39, No. 1, 65-73 (1991)] is a couple \((X,M)\), where \(X\neq\emptyset\) and \(M\subset\langle 0,1\rangle^ X\) such that \(1_ X\in M\), \((1/2)_ X\not\in M\), \(f\in M\) implies \(1-f\in M\) and \(f_ n\in M\) \((n=1,2,\dots)\) implies \(\sup_ n f_ n\in M\). A probability on \(M\)
openaire +2 more sources
Probability Theory for Fuzzy Quantum Spaces with Statistical Applications
2017The reference considers probability theory in two main domains: fuzzy set theory, and quantum models. Readers will learn about the Kolmogorov probability theory and its implications in these two areas. Other topics covered include intuitionistic fuzzy sets (IF-set) limit theorems, individual ergodic theorem and relevant statistical applications ...
Renáta Bartková +2 more
openaire +1 more source