Fuzzy local ω-systems |
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Institution: | 1. Department of Mathematics, SRM University, Kattankulathur, Kancheepuram – Dist 603 203, India;2. Madras Christian College, Tambaram, Chennai 600 059, India;3. Periyar Arts College, Cuddalore 607 001, India |
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Abstract: | The natural language computing today demands for the study of ω-languages. Therefore in this respect it is convenient to consider fuzzy ω-languages. In this paper, the concept of fuzzy local ω-language, Büchi fuzzy local ω-language, and some closure properties of fuzzy local ω-languages are presented. We introduce deterministic fuzzy finite automaton with different acceptance mode on fuzzy ω-languages and establish the relationship between these various classes of fuzzy ω-languages. We have defined deterministic fuzzy local automaton and also establish relationships between deterministic fuzzy local automaton, fuzzy local ω-language and Büchi fuzzy local ω-language. Further we show that every fuzzy regular ω-language is a projection of a Büchi fuzzy local ω-language. |
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Keywords: | Fuzzy set Deterministic fuzzy automata |
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