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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
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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
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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
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The conjugation of fuzzy probability spaces to the unit interval
Fuzzy Sets and Systems, 1992zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Factor space is the adaptive and deepening theory of fuzzy sets
IEEE International Conference on Fuzzy Systems, 2020In recent years, the factor space theory has been promoted gradually as math foundation for mechanistic artificial intelligence theory. The theory was put forward in 1982 by Prof.
Haitao Liu +5 more
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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 \(M\)
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Fuzzy subsets of the space of probability measures and expected value of fuzzy variable
Fuzzy Sets and Systems, 1993zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A novel recursive T-S fuzzy semantic modeling approach for discrete state-space systems
Neurocomputing, 2019In this paper, we propose a novel recursive Takagi-Sugeno (T-S) fuzzy semantic modeling approach for discrete state-space system. According to the information learning theoretic (ILT), the correntropy can capture the higher moments of the error ...
Liang-qun Li +3 more
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FUZZY CONVERGENCE VERSUS WEAK CONVERGENCE IN SPACES OF PROBABILITY MEASURES
1984If X is a separable metrizable space, then on the set \({\mathcal M}(X)\) of all probability measures on X, the structure most frequently used is the weak topology, also called topology of weak convergence. In Math. Nachr. 115, 33-57 (1984; Zbl 0593.54006), the author introduced an alternative structure, a fuzzy topology, the topological modification ...
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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
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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.
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