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Research Article
Sun Rong
Chongqing University of Science and Technology
Corresponding Author
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This work is licensed under a CC BY 4.0 License. Read Full License
In this paper, we consider the extension of concave integral from classic σ -algebra to fuzzy σ -algebra of fuzzy sets. We introduce the concept of the fuzzy concave integral on a fuzzy set. Then we give some properties of this integral. Finally, various kinds of convergence theorems of a sequence of fuzzy concave integrals are proved.
Keywords
Convergence theorems; Fuzzy concave integral; Fuzzy a-algebra.
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CURRENT STATUS: Under Review
Version 1
Posted 17 May, 2021
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Reviews received
Received 11 Aug, 2021
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Invitations sent on 14 May, 2021
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On 22 Apr, 2021
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On 26 Jan, 2021
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Computational Mathematics
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A new preprint design is coming!
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This preprint is under consideration at Soft Computing. A preprint is a preliminary version of a manuscript that has not completed peer review at a journal. Research Square does not conduct peer review prior to posting preprints. The posting of a preprint on this server should not be interpreted as an endorsement of its validity or suitability for dissemination as established information or for guiding clinical practice.
Learn more about In Review
Research Article
Sun Rong
Chongqing University of Science and Technology
Corresponding Author
Badges
Prescreen
This manuscript passed our Prescreen assessment
Complete author information
Appropriate declaration statements
Potential risks to human health
Prescreen
Peer Review Timeline
CURRENT STATUS: Under Review
Version 1
Posted 17 May, 2021
No community comments so far
Reviews received
Received 11 Aug, 2021
Reviewers invited
Invitations sent on 14 May, 2021
Editor assigned
On 22 Apr, 2021
First submitted
On 26 Jan, 2021
Metrics
Comments: 0
PDF Downloads: ...
HTML Views: ...
Subject Areas
Computational Mathematics
License:
This work is licensed under a CC BY 4.0 License. Read Full License
In this paper, we consider the extension of concave integral from classic σ -algebra to fuzzy σ -algebra of fuzzy sets. We introduce the concept of the fuzzy concave integral on a fuzzy set. Then we give some properties of this integral. Finally, various kinds of convergence theorems of a sequence of fuzzy concave integrals are proved.
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