Preserving piece-wise linearity in fuzzy interpolation

Qiang Shen; Zhiheng Huang

doi:10.1109/FUZZY.2009.5277235

Preserving piece-wise linearity in fuzzy interpolation

Qiang Shen
, Zhiheng Huang

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Fuzzy interpolative reasoning plays an important role in fuzzy modelling as it not only helps to reduce the number of rules in a rule base, but also provides an inference mechanism for sparse rule bases. In interpolation, it is desirable to preserve piece-wise linearity as piece-wise linear results can thus be inferred from piece-wise linear rules and observations. This safely ensures the ignorance of non-characteristic points in performing interpolations. However, almost all existing fuzzy interpolative reasoning methods do not preserve piecewise linearity for general polygonal fuzzy sets. This paper, based on the work of, proposes a new interpolative method which preserves this property.

Iaith wreiddiol	Saesneg
Teitl	IEEE International Conference on Fuzzy Systems, 2009. FUZZ-IEEE 2009
Cyhoeddwr	Institute of Electrical and Electronics Engineers
Tudalennau	575-580
Nifer y tudalennau	6
ISBN (Electronig)	978-1-4244-3597-5
ISBN (Argraffiad)	978-1-4244-3596-8
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/FUZZY.2009.5277235
Statws	Cyhoeddwyd - Awst 2009
Digwyddiad	Fuzzy Systems - Jeju Island, Korea (Gweriniaeth) Hyd: 20 Awst 2009 → 24 Awst 2009 Rhif y gynhadledd: 18

Cynhadledd

Cynhadledd	Fuzzy Systems
Teitl cryno	FUZZ-IEEE-2009
Gwlad/Tiriogaeth	Korea (Gweriniaeth)
Dinas	Jeju Island
Cyfnod	20 Awst 2009 → 24 Awst 2009

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10.1109/FUZZY.2009.5277235

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@inproceedings{12c9c0f19c094d339145c117a94018c1,

title = "Preserving piece-wise linearity in fuzzy interpolation",

abstract = "Fuzzy interpolative reasoning plays an important role in fuzzy modelling as it not only helps to reduce the number of rules in a rule base, but also provides an inference mechanism for sparse rule bases. In interpolation, it is desirable to preserve piece-wise linearity as piece-wise linear results can thus be inferred from piece-wise linear rules and observations. This safely ensures the ignorance of non-characteristic points in performing interpolations. However, almost all existing fuzzy interpolative reasoning methods do not preserve piecewise linearity for general polygonal fuzzy sets. This paper, based on the work of, proposes a new interpolative method which preserves this property.",

author = "Qiang Shen and Zhiheng Huang",

note = "Z. Huang and Q. Shen. Preserving Piece-wise Linearity in Fuzzy Interpolation. Proceedings of the 18th International Conference on Fuzzy Systems (FUZZ-IEEE'09), pp. 575-580, 2009.; Fuzzy Systems, FUZZ-IEEE-2009 ; Conference date: 20-08-2009 Through 24-08-2009",

year = "2009",

month = aug,

doi = "10.1109/FUZZY.2009.5277235",

language = "English",

isbn = "978-1-4244-3596-8",

pages = "575--580",

booktitle = "IEEE International Conference on Fuzzy Systems, 2009. FUZZ-IEEE 2009",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States of America",

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T1 - Preserving piece-wise linearity in fuzzy interpolation

AU - Shen, Qiang

AU - Huang, Zhiheng

N1 - Conference code: 18

PY - 2009/8

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N2 - Fuzzy interpolative reasoning plays an important role in fuzzy modelling as it not only helps to reduce the number of rules in a rule base, but also provides an inference mechanism for sparse rule bases. In interpolation, it is desirable to preserve piece-wise linearity as piece-wise linear results can thus be inferred from piece-wise linear rules and observations. This safely ensures the ignorance of non-characteristic points in performing interpolations. However, almost all existing fuzzy interpolative reasoning methods do not preserve piecewise linearity for general polygonal fuzzy sets. This paper, based on the work of, proposes a new interpolative method which preserves this property.

AB - Fuzzy interpolative reasoning plays an important role in fuzzy modelling as it not only helps to reduce the number of rules in a rule base, but also provides an inference mechanism for sparse rule bases. In interpolation, it is desirable to preserve piece-wise linearity as piece-wise linear results can thus be inferred from piece-wise linear rules and observations. This safely ensures the ignorance of non-characteristic points in performing interpolations. However, almost all existing fuzzy interpolative reasoning methods do not preserve piecewise linearity for general polygonal fuzzy sets. This paper, based on the work of, proposes a new interpolative method which preserves this property.

U2 - 10.1109/FUZZY.2009.5277235

DO - 10.1109/FUZZY.2009.5277235

M3 - Conference Proceeding (ISBN)

SN - 978-1-4244-3596-8

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EP - 580

BT - IEEE International Conference on Fuzzy Systems, 2009. FUZZ-IEEE 2009

PB - Institute of Electrical and Electronics Engineers

T2 - Fuzzy Systems

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ER -

Preserving piece-wise linearity in fuzzy interpolation

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