Results 161 to 170 of about 4,571,328 (203)

Measurable Functions on Fuzzy Measure Spaces

1992
In this chapter, let (X, ℱ) be a measurable space, μ: F → [0, ∞] be a fuzzy measure (or semicontinuous fuzzy measure), and B be the Borel field on (−∞, ∞).
George J Klir, Zhenyuan Wang
exaly   +2 more sources

Convergence of Sequence of Measurable Functions on Fuzzy Measure Spaces

Fuzzy Sets and Systems, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Li, Masami Yasuda, Qingshan Jiang
exaly   +3 more sources

On the Existence of Probability Measures on Fuzzy Measurable Spaces

Fuzzy Sets and Systems, 1991
An \(F\)-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 \(M\)
Anatolij Dvurečenskij
exaly   +3 more sources

Fundamental Convergence of Sequences of Measurable Functions on Fuzzy Measure Space

Fuzzy Sets and Systems, 1998
A fuzzy measure is considered as a monotone, continuous (from above and from below) extended real-valued function \(m\) defined on a \(\sigma\)-algebra such that \(m(\emptyset)=0\). It is said to be asymptotically null-additive, if \(m(A_n\cup B_m) \to 0\) \((n\to \infty,\;m\to \infty)\) whenever \(m(A_n) \to 0\) and \(m(B_m)\to 0\).
Xizhao Wang, Congxin Wu
exaly   +3 more sources

Convergence of a Sequence of Fuzzy Number-Valued Fuzzy Measurable Functions on the Fuzzy Number-Valued Fuzzy Measure Space

Fuzzy Sets and Systems, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guang-Quan Zhang
exaly   +3 more sources

Space of fuzzy measures and convergence

Fuzzy Sets and Systems, 2003
Using the Choquet integral, two topologies in the space of fuzzy measures are introduced and thus also the related convergences. Moreover, the convergence by variation norm is introduced and discussed. The relationship of these three types of convergences in the space of fuzzy measures is investigated.
Yasuo Narukawa, Toshiaki Murofushi, Michio Sugeno   +2 more
openaire   +2 more sources

Fuzzy measures on metric spaces

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingshan Jiang, Hisakichi Suzuki
openaire   +3 more sources

On the regularity of the fuzzy measure on metric fuzzy measure spaces

Fuzzy Sets and Systems, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wu, Congxin, Ha, Minghu
openaire   +2 more sources

A fuzzy measure algebra as a metric space

Fuzzy Sets and Systems, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pramila Srivastava, Mona Khare, Y. K. Srivastava   +2 more
openaire   +3 more sources

Lusin's theorem on fuzzy measure spaces

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jun Li 0014, Masami Yasuda
openaire   +2 more sources