Intuitionistic Fuzzy Time Series: An Approach for Handling Nondeterminism in Time Series Forecasting

Atanassov introduced the notion of intuitionistic fuzzy set as generalization of the fuzzy set, which has been proved to be very useful tool in handling nondeterminacy (hesitation) in the system. In the implementation of fuzzy time series forecasting, nondeterminacy is always neglected without any r...

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Veröffentlicht in:	IEEE transactions on fuzzy systems Jg. 24; H. 6; S. 1270 - 1281
Hauptverfasser:	Kumar, Sanjay, Gangwar, Sukhdev Singh
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York IEEE 01.12.2016 The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Data models Economic forecasting Forecasting Fuzzy logic Fuzzy sets Hesitation intuitionistic fuzzy logical relations (IFLRs) intuitionistic fuzzy sets (IFSs) intuitionistic fuzzy time series Mathematical model nondeterminacy Predictive models Time series Time series analysis Yttrium
ISSN:	1063-6706, 1941-0034
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Abstract	Atanassov introduced the notion of intuitionistic fuzzy set as generalization of the fuzzy set, which has been proved to be very useful tool in handling nondeterminacy (hesitation) in the system. In the implementation of fuzzy time series forecasting, nondeterminacy is always neglected without any reason. In this paper, we give the notion of intuitionistic fuzzy time series to handle the nondeterminism in time series forecasting. An intuitionistic fuzzy time series forecasting model is also proposed. The proposed intuitionistic fuzzy time series forecasting method uses intuitionistic fuzzy logical relations on time series data. Performance of the proposed method is verified by applying it on two time series data. The effectiveness of the proposed intuitionistic fuzzy time series forecasting method is verified by comparing the forecasted output with other intuitionistic-fuzzy-set-based fuzzy time series forecasting methods using root-mean-square error and average forecasting error.
AbstractList	Atanassov introduced the notion of intuitionistic fuzzy set as generalization of the fuzzy set, which has been proved to be very useful tool in handling nondeterminacy (hesitation) in the system. In the implementation of fuzzy time series forecasting, nondeterminacy is always neglected without any reason. In this paper, we give the notion of intuitionistic fuzzy time series to handle the nondeterminism in time series forecasting. An intuitionistic fuzzy time series forecasting model is also proposed. The proposed intuitionistic fuzzy time series forecasting method uses intuitionistic fuzzy logical relations on time series data. Performance of the proposed method is verified by applying it on two time series data. The effectiveness of the proposed intuitionistic fuzzy time series forecasting method is verified by comparing the forecasted output with other intuitionistic-fuzzy-set-based fuzzy time series forecasting methods using root-mean-square error and average forecasting error.
Author	Kumar, Sanjay Gangwar, Sukhdev Singh
Author_xml	– sequence: 1 givenname: Sanjay surname: Kumar fullname: Kumar, Sanjay email: skruhela@hotmail.com organization: Dept. of Math., G.B. Pant Univ. of Agric. & Technol., Pantnagar, India – sequence: 2 givenname: Sukhdev Singh surname: Gangwar fullname: Gangwar, Sukhdev Singh email: gangwarsukhdev@gmail.com organization: Dept. of Math., G.B. Pant Univ. of Agric. & Technol., Pantnagar, India
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SubjectTerms	Data models Economic forecasting Forecasting Fuzzy logic Fuzzy sets Hesitation intuitionistic fuzzy logical relations (IFLRs) intuitionistic fuzzy sets (IFSs) intuitionistic fuzzy time series Mathematical model nondeterminacy Predictive models Time series Time series analysis Yttrium
Title	Intuitionistic Fuzzy Time Series: An Approach for Handling Nondeterminism in Time Series Forecasting
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