Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures
Joint Authors
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-01-02
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The aim of this paper is to generalize the Choquet-like integral with respect to a nonmonotonic fuzzy measure for generalized real-valued functions and set-valued functions, which is based on the generalized pseudo-operations and σ-⊕-measures.
Furthermore, the characterization theorem and transformation theorem for the integral are given.
Finally, we study the Lyapunov type inequality and Stolarsky type inequality for the Choquet-like integral.
American Psychological Association (APA)
Xie, Ting& Zeng-tai, Gong. 2019. Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures. Journal of Function Spaces،Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1174762
Modern Language Association (MLA)
Xie, Ting& Zeng-tai, Gong. Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures. Journal of Function Spaces No. 2019 (2019), pp.1-14.
https://search.emarefa.net/detail/BIM-1174762
American Medical Association (AMA)
Xie, Ting& Zeng-tai, Gong. Inequalities of Lyapunov and Stolarsky Type for Choquet-Like Integrals with respect to Nonmonotonic Fuzzy Measures. Journal of Function Spaces. 2019. Vol. 2019, no. 2019, pp.1-14.
https://search.emarefa.net/detail/BIM-1174762
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1174762
