Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions.

Journal: Mathematical biosciences and engineering : MBE
Published Date: Nov 22, 2021

Abstract

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

Authors

  • Muhammad Bilal Khan
    Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan.
  • Hari Mohan Srivastava
    Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada.
  • Pshtiwan Othman Mohammed
    Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq.
  • Juan L G Guirao
    Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain.
  • Taghreed M Jawa
    Department of Mathematics and Statistics, College of Sciences, Taif University, Taif 21944, Saudi Arabia.

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