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Integration with respect to fractal functions and stochastic calculus. I

✍ Scribed by M. Zähle

Publisher
Springer
Year
1998
Tongue
English
Weight
406 KB
Volume
111
Category
Article
ISSN
1432-2064

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📜 SIMILAR VOLUMES

Integration with respect to Fractal Func
Integration with respect to Fractal Functions and Stochastic Calculus II
✍ M. Zähle 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 371 KB

The link between fractional and stochastic calculus established in part I of this paper is investigated in more detail. We study a fractional integral operator extending the Lebesgue-Stieltjes integral and introduce a related concept of stochastic integral which is similar to the so -called forward

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Fuzzy number fuzzy measures and fuzzy integrals. (I). Fuzzy integrals of functions with respect to fuzzy number fuzzy measures
✍ Congxin Wu; Deli Zhang; Caimei Guo; Cong Wu 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 333 KB

This paper, based on the fuzzy measures and fuzzy integrals given by Sugeno, first defines interval number fuzzy measures (INF-measures) and fuzzy number fuzzy measures (FNF-measures), and the fuzzy integral of function with respect to INF-measures are given. Then it defines the fuzzy integral of fu