Learn More
In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of(More)
The concept of q ,-fuzzy ternary subsemigroup (left, right, lateral, quasi-, bi-) ideal of a ternary semigroup is introduced and several related properties are investigated. We give some characterizations of regular and weakly regular ternary semigroups by q ,-fuzzy left (right, lateral) ideals, q ,-fuzzy quasi-ideals and q ,-fuzzy bi-(generalized bi-)(More)
Characterizations of ternary semigroups by   k q   , Abstract In this paper we have generalized the concepts of   q   ,-fuzzy ideals,   q   ,-fuzzy quasi-ideals and   q   ,-fuzzy bi-ideals by introducing the concepts of   k q   ,-fuzzy ideals,   k q   ,-fuzzy quasi-ideals and   k q   ,-fuzzy bi-ideals in ternary semigroups(More)
Classifications of (α, β)-fuzzy left (right and lateral) ideals of ternary semigroups are discussed. Relations between (∈, ∈ ∨ q)-fuzzy left (right and lateral) ideals and (q, ∈ ∨ q)-fuzzy left (right and lateral) ideals are established. Given special sets, so called t-q-set and t-∈ ∨ q-set, conditions for the t-q-set and t-∈ ∨ q-set to be left (right and(More)
  • 1