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
Suggested Reviewers
N/A
Digital Object Identifier (DOI)
http://dx.doi.org/10.18576/amis/110417
Recommended Citation
Selva Rathi, M. and Michael Anna Spinneli, J.
(2017)
"Generalisation of Implication-Based Fuzzy Semiautomaton Over a Finite Group,"
Applied Mathematics & Information Sciences: Vol. 11
:
Iss.
4
, Article 48.
DOI: http://dx.doi.org/10.18576/amis/110417
Available at:
https://dc.naturalspublishing.com/amis/vol11/iss4/48