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- Title
Implication-based fuzzy ternary subsemigroups in ternary semigroups.
- Authors
Rehman, Noor
- Abstract
The aim of this study is to introduce the concept of implication-based fuzzy ternary subsemigroups in ternary semigroups. Using the four implication operators, that is, Gaines-Rescher implication operator, Godel implication operator, the contraposition of Godel implication operator and the Luckasiewicz implication operator, the implication-based fuzzy ternary subsemigroups are considered. Furthermore, based on this novel idea, relationships between fuzzy [resp. (∊, ∊ vq)- fuzzy] ternary subsemigroups and implication-based fuzzy ternary subsemigroups are discussed. Finally, conditions for a fuzzy ternary subsemigroup with thresholds 0 and 0.5 to be an implication-based fuzzy ternary subsemigroups under the Luckasiewicz implication operator are provided.
- Subjects
FUZZY mathematics; TERNARY system; FUZZY numbers; GODEL numbers; NUMBER theory
- Publication
Journal of the National Science Foundation of Sri Lanka, 2018, Vol 46, Issue 3, p423
- ISSN
1391-4588
- Publication type
Article
- DOI
10.4038/jnsfsr.v46i3.8494