On Some Characterization of Preinvex Fuzzy Mappings

  • Muhammad Bilal Khan Department of Mathematics, COMSATS University Islamabad, Pakistan
  • Muhammad Aslam Noor Department of Mathematics, COMSATS University Islamabad, Pakistan
  • Khalida Inayat Noor Department of Mathematics, COMSATS University Islamabad, Pakistan
Keywords: preinex fuzzy mappings, α-preinvex fuzzy mappings, αξ-monotone fuzzy operators, fuzzy α-variational-like inequalities, fuzzy optimization

Abstract

In this paper, a new notion of generalized convex fuzzy mapping is introduced, which is called α-preinvex fuzzy mapping on the α-invex set. We have investigated the characterization of preinvex fuzzy mappings using α-preinvex fuzzy mappings, which can be viewed as a novel and innovative application. Some important and significant special cases are discussed. We have also investigated that the minimum of α-preinvex fuzzy mappings can be characterized by fuzzy α-variational like inequalities.

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Published
2020-07-21
How to Cite
Khan, M. B., Noor, M. A., & Noor, K. I. (2020). On Some Characterization of Preinvex Fuzzy Mappings. Earthline Journal of Mathematical Sciences, 5(1), 17-42. https://doi.org/10.34198/ejms.5121.1742
Section
Articles