Some New Estimates on Coordinates of Generalized Convex Interval-Valued Functions by Muhammad Bilal Khan, Adriana Cătaş, Omar Mutab Alsalami

“…This study considers the well-known coordinated interval-valued Hermite–Hadamard-type and associated inequalities. To full fill this mileage, we use the introduced coordinated interval left and right preinvexity (LR-preinvexity) and <i>Riemann integrals</i> for further extension. …”
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New Class Up and Down Pre-Invex Fuzzy Number Valued Mappings and Related Inequalities via Fuzzy Riemann Integrals by Muhammad Bilal Khan, Gustavo Santos-García, Savin Treanțǎ, Mohamed S. Soliman

“…The well-known fuzzy Hermite–Hadamard (𝐻𝐻)-type and related inequalities are taken into account in this work. We extend this mileage further using fuzzy Riemann integrals and the fuzzy number up and down pre-invexity. …”
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Some Certain Fuzzy Aumann Integral Inequalities for Generalized Convexity via Fuzzy Number Valued Mappings by Muhammad Bilal Khan, Hakeem A. Othman, Michael Gr. Voskoglou, Lazim Abdullah, Alia M. Alzubaidi

“…With the help of fuzzy Aumann integrals and the newly introduced fuzzy number valued up and down convexity (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mi mathvariant="script">D</mi></mrow></semantics></math></inline-formula>-convexity), we increase this mileage even further. Additionally, with the help of definitions of lower <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mi mathvariant="script">D</mi></mrow></semantics></math></inline-formula>-concave (lower <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mi mathvariant="script">D</mi></mrow></semantics></math></inline-formula>-concave) and upper <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>U</mi><mi mathvariant="script">D</mi></mrow></semantics></math></inline-formula>-convex (concave) fuzzy number valued mappings (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi mathvariant="script">F</mi><mi mathvariant="script">N</mi><mi mathvariant="script">V</mi><mi mathvariant="script">M</mi></mrow></semantics></math></inline-formula>s), we have gathered a sizable collection of both well-known and new extraordinary cases that act as applications of the main conclusions. …”
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