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Mathematical Biosciences and Engineering

2022, Volume 19, Issue 1: 812-835. doi: 10.3934/mbe.2022037
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Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions

  • 1.
    Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
  • 2.
    Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
  • 3.
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
  • 4.
    Department of Mathematics and Informatics, Azerbaijan University, Baku AZ1007, Azerbaijan
  • 5.
    Section of Mathematics, International Telematic University Uninettuno, Rome I-00186, Italy
  • 6.
    Department of Mathematics, College of Education, University of Sulaimani, Sulaimani 46001, Kurdistan Region, Iraq
  • 7.
    Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina, Cartagena 30203, Spain
  • 8.
    Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • 9.
    Department of Mathematics and Statistics, College of Sciences, Taif University, Taif 21944, Saudi Arabia
  • Received: 26 August 2021 Accepted: 26 October 2021 Published: 22 November 2021

  • 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.

    Citation: Muhammad Bilal Khan, Hari Mohan Srivastava, Pshtiwan Othman Mohammed, Juan L. G. Guirao, Taghreed M. Jawa. Fuzzy-interval inequalities for generalized preinvex fuzzy interval valued functions[J]. Mathematical Biosciences and Engineering, 2022, 19(1): 812-835. doi: 10.3934/mbe.2022037

    Related Papers:

  • 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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