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Issue:Properties of an intuitionistic fuzzy kernel and an intuitionistic fuzzy subsemiautomaton

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Title of paper: Properties of an intuitionistic fuzzy kernel and an intuitionistic fuzzy subsemiautomaton
Author(s):
K. Jency Priya
Post Graduate and Research Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli – 620 002, Tamilnadu, India
jencypriya9@gmail.com
T. Rajaretnam
Post Graduate and Research Department of Mathematics, St. Joseph’s College (Autonomous), Tiruchirappalli – 620 002, Tamilnadu, India
t_rajaretnam@yahoo.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 23, 2017, Number 5, pages 112—124
Download:  PDF (165 Kb  Kb, File info)
Abstract: In this paper, intuitionistic fuzzy kernel and intuitionistic fuzzy subsemiautomaton are defined over an intuitionistic fuzzy semiautomaton (IFSA) S = (Q; Σ, A). Proved the existence of intuitionistic fuzzy homomorphism and strong intuitionistic fuzzy homomorphism on both intuitionistic fuzzy kernel and intuitionistic fuzzy subsemiautomaton over S. It is proved that product of two intuitionistic fuzzy kernel is an intuitionistic fuzzy kernel on S; product of intuitionistic fuzzy kernel and intuitionistic fuzzy subsemiautomaton is an intuitionistic fuzzy subsemiautomaton over S.
Keywords: Intuitionistic fuzzy semiautomaton, Intuitionistic fuzzy kernel and intuitionistic fuzzy subsemiautomaton.
AMS Classification: 03F55, 03F45.
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