Abstract
Some New Classes of Preinvex Fuzzy-Interval-Valued Functions and Inequalities
Highlights
In the development of pure and applied mathematics [1,2,3] convexity has played a key role
Motivated by [41,42,53,54] and especially by [55] because Costa et al established relation between elements of fuzzy-interval space and interval space, and introduced level-wise fuzzy order relation on fuzzy-interval space through Kulisch–Miranker order relation defined on interval space
In this art(icle, we)introduced new class of nonconvex functions is known as h1, h2 -preinvex fuzzy-IVFs
Summary
In the development of pure and applied mathematics [1,2,3] convexity has played a key role. Noor [46] introduced this idea and proved some results that distinguish the fuzzy optimality condition of differentiable preinvex fuzzy mappings by fuzzy variational-like inequality. Motivated by [41,42,53,54] and especially by [55] because Costa et al established relation between elements of fuzzy-interval space and interval space, and introduced level-wise fuzzy order relation on fuzzy-interval space through Kulisch–Miranker order relation defined on interval space By using this concept on fuzzy-interval space, we generalize integral inequality (1) by constructing fuzzyinterval integral inequalities for convex fuzzy-IVFs, where the integrands are convex fuzzy-IVFs. This study is organized as follows: Section 2 presents preliminary and new concepts and results in interval space, the space of fuzzy intervals, and fuzzy convex analysis.
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