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M-Hazy Module and Its Homomorphism Theorem

Author

Listed:
  • Donghua Huo
  • Hongyu Liu
  • Zafar Ullah

Abstract

Based on a completely distributive lattice M, we propose a new fuzzification approach to a module, which leads to the concept of an M-hazy module. Different from the traditional fuzzification approach that defines a fuzzy algebra as a fuzzy subset of a classical algebra, we introduce an M-hazy module by fuzzifications of algebraic operations. Then, we investigate the fundamental properties of M-hazy modules and M-hazy submodules. In particular, we present the M-hazy module homomorphism theorem.

Suggested Citation

  • Donghua Huo & Hongyu Liu & Zafar Ullah, 2023. "M-Hazy Module and Its Homomorphism Theorem," Journal of Mathematics, Hindawi, vol. 2023, pages 1-9, May.
    • Handle: RePEc:hin:jjmath:3581113
    DOI: 10.1155/2023/3581113
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