On Jensen-Type and Hölder-Type Inequality for Interval-Valued Choquet Integrals
نویسندگان
چکیده
منابع مشابه
A note on Jensen type inequality for Choquet integrals
The purpose of this paper is to prove a Jensen type inequality for Choquet integrals with respect to a non-additive measure which was introduced by Choquet [1] and Sugeno [20]; Φ((C) ∫ fdμ) ≤ (C) ∫ Φ(f)dμ, where f is Choquet integrable, Φ : [0,∞) −→ [0,∞) is convex, Φ(α) ≤ α for all α ∈ [0,∞) and μf (α) ≤ μΦ(f)(α) for all α ∈ [0,∞). Furthermore, we give some examples assuring both satisfaction ...
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ژورنال
عنوان ژورنال: INTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS
سال: 2018
ISSN: 1598-2645,2093-744X
DOI: 10.5391/ijfis.2018.18.2.97