Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions | Zendy

Muhammad Bilal Khan | Zendy; H. M. Srivastava | Zendy; Pshtiwan Othman Mohammed | Zendy; Juan L. G. Guirao | Zendy; Taghreed M. Jawa | Zendy

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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions

Author(s) -

Muhammad Bilal Khan,

H. M. Srivastava,

Pshtiwan Othman Mohammed,

Juan L. G. Guirao,

Taghreed M. Jawa

Publication year - 2021

Publication title -

mathematical biosciences and engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.451

H-Index - 45

eISSN - 1551-0018

pISSN - 1547-1063

DOI - 10.3934/mbe.2022037

Subject(s) - mathematics , interval (graph theory) , hermite polynomials , hadamard transform , type (biology) , fuzzy logic , inequality , pure mathematics , fuzzy set , relation (database) , algebra over a field , mathematical analysis , computer science , combinatorics , artificial intelligence , data mining , ecology , biology

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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