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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions
Author(s) -
Muhammad Bilal Khan,
H. M. Srivástava,
Pshtiwan Othman Mohammed,
Juan Luis García 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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