New Class Up and Down Pre-Invex Fuzzy Number Valued Mappings and Related Inequalities via Fuzzy Riemann Integrals
Muhammad Bilal Khan, Gustavo Santos‐García, Savin Treanţă, Mohamed S. Soliman
Abstract
Numerous applications of the theory of convex and nonconvex mapping exist in the fields of applied mathematics and engineering. In this paper, we have defined a new class of nonconvex functions which is known as up and down pre-invex (pre-incave) fuzzy number valued mappings (F-N-V∙Ms). The well-known fuzzy Hermite–Hadamard (
Topics & Concepts
MathematicsFuzzy logicClass (philosophy)Pure mathematicsHermite polynomialsRegular polygonHadamard transformAlgebra over a fieldApplied mathematicsDiscrete mathematicsMathematical analysisComputer scienceGeometryArtificial intelligenceMathematical Inequalities and ApplicationsFuzzy Systems and OptimizationMulti-Criteria Decision Making