• Title of article

    Fuzzifying Bi-Ideals of Semigroups and Implication Operators

  • Author/Authors

    Hedayati, H. babol noshirvani university of technology - Faculty of Basic Science - Department of Mathematics, بابل, ايران , Jafari, Z. babol noshirvani university of technology - Faculty of Basic Science - Department of Mathematics, بابل, ايران

  • From page
    43
  • To page
    52
  • Abstract
    In this paper the notion of (α, β)−fuzzy bi-ideal of a semigroup is introduced and related properties are investigated. Also, the definition of implication operator in the Lukasiewicz system of continuous-valued logic for fuzzy bi-ideals is considered. In particular, the relationship between fuzzy biideals with thresholds and implication-based fuzzy bi-ideals is analyzed.
  • Keywords
    (α, β) , fuzzy bi , ideal , fuzzifying bi , ideal , implication , based fuzzy bi , ideal
  • Journal title
    Selcuk Journal of Applied Mathematics
  • Journal title
    Selcuk Journal of Applied Mathematics
  • Record number

    2551950