On algebraic study of fuzzy automata

descriptionPublicationkeyboard_double_arrow_right Article 30 Jan 2014 English Publisher:Springer Science and Business Media LLCJournal:International Journal of Machine Learning and Cybernetics, volume 6, pages 479-485 (issn: 1868-8071, eissn: 1868-808X,

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Authors: S. P. Tiwari; Vijay K. Yadav 0001; Anupam K. Singh;

doi: 10.1007/s13042-014-0233-5

On algebraic study of fuzzy automata

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Abstract

This paper is towards the characterization of algebraic concepts such as subautomaton, retrievability and connectivity of a fuzzy automaton in terms of its layers, and to associate upper semilattices with fuzzy automata. Meanwhile, we provide a decomposition of a fuzzy automaton in terms of its layers and propose a construction of a fuzzy automaton corresponding to a given finite partially ordered set (poset). Finally, we establish an isomorphism between the poset of class of subautomata of a fuzzy automaton and an upper semilattice.

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Indian Institute of Technology Dhanbad
India

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