|
|
 |
| |
|
|
|
Generalisation of Implication-Based Fuzzy Semiautomaton Over a Finite Group |
|
|
|
PP: 1105-1113 |
|
|
|
doi:10.18576/amis/110417
|
|
|
|
Author(s) |
|
|
|
M. Selva Rathi,
J. Michael Anna Spinneli,
|
|
|
|
Abstract |
|
|
| We have defined the concept of implication-based T-fuzzy semiautomaton (IB-T-FSA) over a finite group. The ideas of an implication-based T-fuzzy kernel and implication-based T-fuzzy subsemiautomaton of an IB-T-FSA over a finite group are introduced using the notion of implication-based T-fuzzy subgroup and implication-based T-fuzzy normal subgroup. The necessary and sufficient condition for an implication-based T-fuzzy normal subgroup to be an implication-based T-fuzzy kernel as well as the necessary and sufficient condition for an implication-based T-fuzzy subgroup to be an implication-based T-fuzzy subsemiautomaton of an IB-T-FSA are proved in this paper |
|
|
|
|
|
|
|
