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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions

<abstract> <p>In this paper, firstly we define the concept of <italic>h</italic>-preinvex fuzzy-interval-valued functions (<italic>h</italic>-preinvex FIVF). Secondly, some new Hermite-Hadamard type inequalities (<italic>H</italic>-<italic>H</italic> type inequalities) for <italic>h</italic>-preinvex FIVFs via fuzzy integrals are established by means of fuzzy order relation. Finally, we obtain Hermite-Hadamard Fejér type inequalities (<italic>H</italic>-<italic>H</italic> Fejér type inequalities) for <italic>h</italic>-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.</p> </abstract>

American Institute of Mathematical Sciences (AIMS)

Muhammad Bilal Khan Hari Mohan Srivastava Pshtiwan Othman Mohammed Juan L. G. Guirao Taghreed M. Jawa

Mathematical Biosciences and Engineering

2021

Title: Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions

Description:

<abstract> <p>In this paper, firstly we define the concept of <italic>h</italic>-preinvex fuzzy-interval-valued functions (<italic>h</italic>-preinvex FIVF).

Secondly, some new Hermite-Hadamard type inequalities (<italic>H</italic>-<italic>H</italic> type inequalities) for <italic>h</italic>-preinvex FIVFs via fuzzy integrals are established by means of fuzzy order relation.

Finally, we obtain Hermite-Hadamard Fejér type inequalities (<italic>H</italic>-<italic>H</italic> Fejér type inequalities) for <italic>h</italic>-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.

</p> </abstract>.

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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions

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