A New Interval Type-2 Fuzzy Logic System Under Dynamic Environment: Application to Financial Investment

21 Pages Posted: 6 Mar 2020

See all articles by Akihiko Takahashi

Akihiko Takahashi

University of Tokyo - Faculty of Economics

Soichiro Takahashi

University of Tokyo - Graduate School of Economics

Date Written: February 4, 2020

Abstract

This paper proposes a new interval type-2 fuzzy logic system (IT2 FLS) for financial investment with time-varying parameters adaptive to real-time data streams by using an on-line learning method based on a state-space framework. Particularly, our state-space approach regards parameters of IT2 FLSs as state variables to sequentially learn by Bayesian filtering algorithms under dynamic environment, where time-series data are continuously observed with occasional structural changes. Moreover, our proposal is helpful for financial applications, which often involve various practical complex constraints, because general state-space model makes it possible to flexibly deal with non-linearities. In our empirical experiment with time-series data of financial assets, our approach is applied to on-line parameter learning of type-1 and type-2 FLSs for portfolio decision making. As a result, it is shown that the IT2 FLS holds its advantage against the type-1 FLS, even though the both type-1 and type-2 models have the adaptive time-varying parameters, which is an unexplored topic for empirical studies of this area.

Keywords: interval type-2 fuzzy logic system, sequential learning, state space model, particle filtering, financial investment

JEL Classification: C11, G11

Suggested Citation

Takahashi, Akihiko and Takahashi, Soichiro, A New Interval Type-2 Fuzzy Logic System Under Dynamic Environment: Application to Financial Investment (February 4, 2020). Available at SSRN: https://ssrn.com/abstract=3532096 or http://dx.doi.org/10.2139/ssrn.3532096

Akihiko Takahashi

University of Tokyo - Faculty of Economics ( email )

7-3-1 Hongo, Bunkyo-ku
Tokyo 113-0033
Japan

Soichiro Takahashi (Contact Author)

University of Tokyo - Graduate School of Economics ( email )

Tokyo
Japan

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