Differentiation of nonnegative measurable function Choquet integral over real fuzzy measure space and its application to financial option trading model

Toshihiro Kaino*, Kaoru Hirota

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

7 Citations (Scopus)

Abstract

Fuzzy Measure Shift Differentiation of Choquet integral for a nonnegative measurable function taken with respect to a fuzzy measure over a real fuzzy measure space is proposed. Two examples, where fuzzy measure distributions are either a continuous distribution or a discrete distribution are given to understand the notion of the fuzzy measure shift differentiation. Finally, an application to the financial option trading model is shown.

Original languageEnglish
Pages (from-to)III-73 - III-78
JournalProceedings of the IEEE International Conference on Systems, Man and Cybernetics
Volume3
Publication statusPublished - 1999
Externally publishedYes
Event1999 IEEE International Conference on Systems, Man, and Cybernetics 'Human Communication and Cybernetics' - Tokyo, Jpn
Duration: 12 Oct 199915 Oct 1999

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