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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
Muhammad Bilal Khan1, Hari Mohan Srivastava2,3,4,5, Pshtiwan Othman Mohammed6
1Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan.
Abstract:
In this paper, firstly we define the concept of h-preinvex fuzzy-interval-valued functions (h-preinvex FIVF). Secondly, some new Hermite-Hadamard type inequalities (H-H type inequalities) for h-preinvex FIVFs via fuzzy integrals are established by means of fuzzy order relation. Finally, we obtain Hermite-Hadamard Fejér type inequalities (H-H Fejér type inequalities) for h-preinvex FIVFs by using above relationship. To strengthen our result, we provide some examples to illustrate the validation of our results, and several new and previously known results are obtained.
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