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A New Approach to Concavity Fuzzification

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  • Ibtesam Alshammari
  • Azza M. Alghamdi
  • A. Ghareeb
  • Ahmed Mostafa Khalil

Abstract

In this paper, we introduce a more general approach to the fuzzification of fuzzy concavity. More specifically, the degree of L,M-fuzzy concavity is introduced and characterized as a generalization of L-concave structure and L,M-fuzzy concave structure. Based on that, the degree of L,M-fuzzy concavity preserving and L,M-fuzzy concave-to-concave of a function are defined. Some properties and relationships between the degree of L,M-fuzzy concavity preserving and L,M-fuzzy concave-to-concave functions are discussed.

Suggested Citation

  • Ibtesam Alshammari & Azza M. Alghamdi & A. Ghareeb & Ahmed Mostafa Khalil, 2021. "A New Approach to Concavity Fuzzification," Journal of Mathematics, Hindawi, vol. 2021, pages 1-11, January.
    • Handle: RePEc:hin:jjmath:6699295
    DOI: 10.1155/2021/6699295
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