Fubini theorem and generalized Minkowski inequality for pseudo-integral
Fubini theorem and generalized Minkowski inequality for pseudo-integral
Autori:
Časopis: International Journal of Approximate Reasoning
Volume 122
ISSN: 0888-613X
DOI: 10.1016/j.ijar.2020.03.010
Stranice: 9-23
Link: https://www.journals.elsevier.com/international-journal-of-approximate-reasoning
Apstrakt:
This paper is devoted to generalizations of Fubini theorem, the Transformation theorem, and generalized Minkowski inequality for the so-called pseudo-integral. The approach is based on the relation of double pseudo-integrals and iterated pseudo-integrals. Since the pseudo-integral covers Lebesgue integral, Sugeno’s fuzzy integral, and Zhao’s (N)fuzzy integral (with a respect to special nonadditive measure: ∨-measure), the obtained results generalize the corresponding previously known results.
Ključne reči: Nonadditive measure; Pseudo-analysis; Pseudo-integral; Fubini theorem; Generalized Minkowski inequality
Kategorije objave:
Bibliografske reference nastavnika Univerziteta Singidunum
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