Building linguistic random regression model from the perspective of type-2 fuzzy set

Fei Song; Shinya Imai; Junzo Watada

doi:10.1109/FUZZ-IEEE.2014.6891658

Building linguistic random regression model from the perspective of type-2 fuzzy set

Fei Song, Shinya Imai, Junzo Watada

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

Information given in linguistic terms around real life sometimes is vague in meaning, as type-1 fuzzy set was introduced to modulate this uncertainty. Meanwhile, same word may result in various meaning to people, indicating the uncertainty also exist when associated with the membership function of a type-1 fuzzy set. Type-2 fuzzy set attempt to express the hybrid uncertainty of both primary and secondary fuzziness, in order to address regression problems, we built a type-2 Linguistic Random Regression Model based on credibility theory. Confidence intervals are constructed for fuzzy input and output, and the proposed regression model give a rise to a nonlinear programming problem focus on a well-trained model, which would be helpful and useful in linguistic assessment cases. Finally, a numerical example is provided.

Original language	English
Title of host publication	IEEE International Conference on Fuzzy Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	2376-2383
Number of pages	8
ISBN (Print)	9781479920723
DOIs	https://doi.org/10.1109/FUZZ-IEEE.2014.6891658
Publication status	Published - 2014 Sept 4
Event	2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014 - Beijing Duration: 2014 Jul 6 → 2014 Jul 11

Other

Other	2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014
City	Beijing
Period	14/7/6 → 14/7/11

Keywords

Confidence interval
Creditability theory
Linguistic rules
Regression model
Type-2 fuzzy set

ASJC Scopus subject areas

Software
Artificial Intelligence
Applied Mathematics
Theoretical Computer Science

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10.1109/FUZZ-IEEE.2014.6891658

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Song, F, Imai, S & Watada, J 2014, Building linguistic random regression model from the perspective of type-2 fuzzy set. in IEEE International Conference on Fuzzy Systems., 6891658, Institute of Electrical and Electronics Engineers Inc., pp. 2376-2383, 2014 IEEE International Conference on Fuzzy Systems, FUZZ-IEEE 2014, Beijing, 14/7/6. https://doi.org/10.1109/FUZZ-IEEE.2014.6891658

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Building linguistic random regression model from the perspective of type-2 fuzzy set

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Keywords

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