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International Journal of Computational Intelligence Systems, 2021 It is well known that the concept of convexity establishes strong relationship with integral inequality for single-valued and interval-valued function.
Gul Sana +4 more
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Novel versions of Hölder's-Like and related inequalities with newly defined LP space, and their applications over fuzzy domain [PDF]
HeliyonIt is widely recognized that fuzzy number theory relies on the characteristic function. However, within the fuzzy realm, the characteristic function transforms into a membership function contingent upon the interval [0,1].
Xiangting Shi +4 more
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Sitaru-Schweitzer Type Inequality for Fuzzy and Pseudo-Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we have proved and stated the Sitaru-Schweitzer type inequality for fuzzy integrals and also we state this inequality for pseudo-integrals in two classes.
Bayaz Daraby +2 more
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Generalizations of Related Fritz Carlson Type Inequalities for Fuzzy Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2021 In this paper, We review general related inequalities to Carlson-type inequalities for the Sugeno integral on an abstract fuzzy measure space $(X,\Sigma)$. Some examples are given to illustrate the validity of main results.
Bayaz Daraby
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Mathematics, 2023 We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued mapping as our main goal in this work. With the help of up and down harmonically fuzzy-number convexity and the fuzzy fractional integral operator, we also show the
Muhammad Bilal Khan +4 more
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Chebyshev Weighted Type Integral Inequality in Fuzzy and Abstract Spaces [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we express and prove Chebyshev weighted type inequality for fuzzy integrals and in abstract spaces where the functions are strictly monotone functions. Furthermore, we have shown our results for n-th strictly monotone functions.
Bayaz Daraby, Zahra Vaezi
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Hermite–Hadamard-Type Inequalities for Coordinated Convex Functions Using Fuzzy Integrals
Mathematics, 2023 In this paper, some estimates of third and fourth inequalities in Hermite–Hadamard-type inequalities for coordinated convex functions are proved using the non-additivity of the integrals and Fubini’s theorem for fuzzy integrals.
Muhammad Amer Latif
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A Version of Favard's Inequality for the Sugeno Integral [PDF]
Sahand Communications in Mathematical Analysis, 2020 In this paper, we present a version of Favard's inequality for special case and then generalize it for the Sugeno integral in fuzzy measure space $(X,Sigma,mu)$, where $mu$ is the Lebesgue measure. We consider two cases, when our function is concave and
Bayaz Daraby +2 more
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Study on Some Integral Inequalities for Pseudo-Integrals [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, we express and prove Stolarsky, Feng Qi and Markov type inequalities for two classes of pseudo-integrals. One of them concerning the pseudo-integrals based on a function reduces on the g-integral where pseudo-operations are defined by a ...
Bayaz Daraby
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AIMS Mathematics, 2021 In the present note, we develop Hermite-Hadamard type inequality and He's inequality for exponential type convex fuzzy interval-valued functions via fuzzy Riemann-Liouville fractional integral and fuzzy He's fractional integral.
Yanping Yang +3 more
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