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MINIMIZATION OF DETERMINISTIC FINITE AUTOMATA WITH VAGUE (FINAL) STATES AND INTUITIONISTIC FUZZY (FINAL) STATES | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 5، دوره 10، شماره 1، اردیبهشت 2013، صفحه 75-88 اصل مقاله (702.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2013.164 | ||
| نویسندگان | ||
| Alka Choubey* 1؛ K. M. Ravi2 | ||
| 1Mathematics Department, Jaypee Institute of Information Technol- ogy, A-10, Sector-62, Noida-201307 (U. P.), India | ||
| 2Department of Mathematics, JSS Academy of Technical Education, C- 20/1, Sector-62, Noida-201301 (U. P), India | ||
| چکیده | ||
| In this paper, relations among the membership values of gener- alized fuzzy languages such as intuitionistic fuzzy language, interval-valued fuzzy language and vague language are studied. It will aid in studying the properties of one language when the properties of another are known. Further, existence of a minimized nite automaton with vague ( final) states for any vague regular language recognized by a nite automaton with vague ( final) states is shown in this paper. Finally, an ecient algorithm is given for minimizing the nite automaton with vague ( final) states. Similarly, it can be shown for intuitionistic fuzzy regular language. These may contribute to a better understanding of the role of nite automaton with vague ( final) states or the nite automaton with intuitionistic fuzzy ( final) states while studying lexical analysis, decision making etc. | ||
| کلیدواژهها | ||
| Intuitionistic fuzzy regular language؛ Interval-valued fuzzy regular language؛ Vague regular language؛ Finite automaton with vague (final) states؛ Finite automaton with intuitionistic fuzzy (nal) states؛ Myhill-Nerode theorem | ||
| مراجع | ||
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