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Right continuous fuzzy set-valued stochastic processes with left limitation

✍ Scribed by S.K. Li; G.H. Tang; L. Li; Q.L. Kong


Book ID
104292705
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
83 KB
Volume
110
Category
Article
ISSN
0165-0114

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✦ Synopsis


The concept of (d) quasi-left continuous fuzzy set-valued stochastic process is proposed. A (d) cadlag. fuzzy set-valued stochastic process, i.e. (d) right continuous fuzzy set-valued stochastic processes with left limitation, is (d) quasi-left continuous if and only if for each positive predictable time this process is (d) left continuous almost surely on the set on which the predictable time is ÿnite. A (d) cadlag. fuzzy set-valued stochastic process only has accessible jump if and only if for each totally inaccessible time this process is (d) left continuous almost surely on the set on which the totally inaccessible time is ÿnite.