Fuzzy Kernel and Fuzzy Subsemiautomata with Thresholds
In 1967, Wee introduced the concept of fuzzy automata, using Zadehs concept of fuzzy sets. A group semiautomaton has been extensively studied by Fong and Clay .This group semiautomaton was fuzzified by Das and he introduced fuzzy semiautomaton, fuzzy kernel and fuzzy subsemiautomaton over finite group. Fuzzy subgroup with thresholds was defined by Yuan et. al. In this paper, we introduce the idea of fuzzy kernel and fuzzy subsemiautomaton with thresholds. Further, we discuss some results concerning them.
Keywords: Fuzzy kernel with thresholds, Fuzzy subsemiautomaton with thresholds, Fuzzy subgroups with thresholds
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ABOUT THE AUTHORS
M. Basheer Ahamed
Basheer Ahamed M received the Ph,D.,degree in Mathematics from Bharathidasan University, Tiruchirappalli, Tamilnadu, India in 2005. He is working inUniversity of Tabuk, Kingdom of Saudi Arabia . His research areas are FuzzyMathematics and Discrete Mathematics
J. Michael Anna Spinneli
J. Michael Anna Spinneli received her M.Sc and M.Phil degrees in Mathematics From Manonmanium Sundaranar.University.Tirunelveli, Tamilnadu. Now she is working as an Assistant Professor of mathematics inKarunya University, Coimbatore, India. She is doing research on Fuzzy Automata
M. Basheer Ahamed
Basheer Ahamed M received the Ph,D.,degree in Mathematics from Bharathidasan University, Tiruchirappalli, Tamilnadu, India in 2005. He is working inUniversity of Tabuk, Kingdom of Saudi Arabia . His research areas are FuzzyMathematics and Discrete Mathematics
J. Michael Anna Spinneli
J. Michael Anna Spinneli received her M.Sc and M.Phil degrees in Mathematics From Manonmanium Sundaranar.University.Tirunelveli, Tamilnadu. Now she is working as an Assistant Professor of mathematics inKarunya University, Coimbatore, India. She is doing research on Fuzzy Automata
