A possibilistic approach for interval type-2 fuzzy linguistic summarization of time series

İlyas Özdoğan; Fatih Emre Boran; Diyar Akay

doi:10.1007/s10462-020-09945-z

A possibilistic approach for interval type-2 fuzzy linguistic summarization of time series

İlyas Özdoğan
, Fatih Emre Boran
, Diyar Akay

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

Linguistic summarization with fuzzy sets, extracting explicit and concise knowledge from data, has received a great attention because of its compatibility with human cognitive mechanism. The most crucial step in linguistic summarization is certainly the evaluation of linguistic summaries. In this study, a new fuzzy cardinality based possibilistic approach is proposed for evaluating linguistic summaries in interval type-2 fuzzy environment. It is proved that the proposed possibilistic approach satisfies the desired properties defined in the literature. An application of the proposed possibilistic approach is presented on financial time series including the three stocks in Borsa İstanbul (BIST) covering the period for the last 10 years. It is noticed that the proposed possibilistic approach generates more stable results than the probabilistic approach of Boran and Akay (IEEE Trans Cybern 44:1632–1645, 2014).

Original language	English
Pages (from-to)	3991-4018
Number of pages	28
Journal	Artificial Intelligence Review
Volume	54
Issue number	5
DOIs	https://doi.org/10.1007/s10462-020-09945-z
Publication status	Published - Jun 2021
Externally published	Yes

Keywords

Data mining
Interval type-2 fuzzy set
Linguistic summarization
Time series

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10.1007/s10462-020-09945-z

Cite this

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title = "A possibilistic approach for interval type-2 fuzzy linguistic summarization of time series",

abstract = "Linguistic summarization with fuzzy sets, extracting explicit and concise knowledge from data, has received a great attention because of its compatibility with human cognitive mechanism. The most crucial step in linguistic summarization is certainly the evaluation of linguistic summaries. In this study, a new fuzzy cardinality based possibilistic approach is proposed for evaluating linguistic summaries in interval type-2 fuzzy environment. It is proved that the proposed possibilistic approach satisfies the desired properties defined in the literature. An application of the proposed possibilistic approach is presented on financial time series including the three stocks in Borsa İstanbul (BIST) covering the period for the last 10 years. It is noticed that the proposed possibilistic approach generates more stable results than the probabilistic approach of Boran and Akay (IEEE Trans Cybern 44:1632–1645, 2014).",

keywords = "Data mining, Interval type-2 fuzzy set, Linguistic summarization, Time series",

author = "İlyas {\"O}zdoğan and Boran, \{Fatih Emre\} and Diyar Akay",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature B.V. part of Springer Nature.",

year = "2021",

month = jun,

doi = "10.1007/s10462-020-09945-z",

language = "English",

volume = "54",

pages = "3991--4018",

journal = "Artificial Intelligence Review",

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number = "5",

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TY - JOUR

T1 - A possibilistic approach for interval type-2 fuzzy linguistic summarization of time series

AU - Özdoğan, İlyas

AU - Boran, Fatih Emre

AU - Akay, Diyar

PY - 2021/6

Y1 - 2021/6

N2 - Linguistic summarization with fuzzy sets, extracting explicit and concise knowledge from data, has received a great attention because of its compatibility with human cognitive mechanism. The most crucial step in linguistic summarization is certainly the evaluation of linguistic summaries. In this study, a new fuzzy cardinality based possibilistic approach is proposed for evaluating linguistic summaries in interval type-2 fuzzy environment. It is proved that the proposed possibilistic approach satisfies the desired properties defined in the literature. An application of the proposed possibilistic approach is presented on financial time series including the three stocks in Borsa İstanbul (BIST) covering the period for the last 10 years. It is noticed that the proposed possibilistic approach generates more stable results than the probabilistic approach of Boran and Akay (IEEE Trans Cybern 44:1632–1645, 2014).

AB - Linguistic summarization with fuzzy sets, extracting explicit and concise knowledge from data, has received a great attention because of its compatibility with human cognitive mechanism. The most crucial step in linguistic summarization is certainly the evaluation of linguistic summaries. In this study, a new fuzzy cardinality based possibilistic approach is proposed for evaluating linguistic summaries in interval type-2 fuzzy environment. It is proved that the proposed possibilistic approach satisfies the desired properties defined in the literature. An application of the proposed possibilistic approach is presented on financial time series including the three stocks in Borsa İstanbul (BIST) covering the period for the last 10 years. It is noticed that the proposed possibilistic approach generates more stable results than the probabilistic approach of Boran and Akay (IEEE Trans Cybern 44:1632–1645, 2014).

KW - Data mining

KW - Interval type-2 fuzzy set

KW - Linguistic summarization

KW - Time series

UR - https://www.scopus.com/pages/publications/85099745490

U2 - 10.1007/s10462-020-09945-z

DO - 10.1007/s10462-020-09945-z

M3 - Article

AN - SCOPUS:85099745490

SN - 0269-2821

VL - 54

SP - 3991

EP - 4018

JO - Artificial Intelligence Review

JF - Artificial Intelligence Review

IS - 5

ER -

A possibilistic approach for interval type-2 fuzzy linguistic summarization of time series

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Keywords

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