Abstract

In this paper, we prove a Stolarsky type inequality for fuzzy integrals. More precisely, we show that: ⨍ 0 1 f x 1 a + b d μ ⩾ ⨍ 0 1 f x 1 a d μ ⨍ 0 1 f x 1 b d μ , where a, b > 0, f : [0, 1] → [0, 1] is a continuous and strictly monotone function and μ is the Lebesgue measure on R .

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.