Generalisation of Implication-Based Fuzzy Semiautomaton Over a Finite Group

Authors

M. Selva Rathi, Department of Mathematics, Karunya University, Coimbatore, Tamil Nadu, IndiaFollow
J. Michael Anna Spinneli, Department of Mathematics, L.R.G.Government Arts College for Women, Tirupur, Tamil Nadu, IndiaFollow

Author Country (or Countries)

India

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

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 17.
DOI: http://dx.doi.org/10.18576/amis/110417
Available at: https://digitalcommons.aaru.edu.jo/amis/vol11/iss4/17