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Title

Kleen’s Theorem for BL-general L-fuzzy automata

Year: 1400
COI: JR_KJMMRC-10-2_010
Language: EnglishView: 96
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Authors

Marzieh Shamsizadeh - Behbahan Khatam Alanbia University of Technology, Khouzestan, Iran
Mohammad Mehdi Zahedi - Department of Mathematics Graduate University of Advanced Technology, Kerman, Iran
Khadijeh Abolpour - Shiraz Branch, Islamic Azad University, Shiraz, Iran

Abstract:

The contribution of generl fuzzy automata to neural networks has been considerable, and dynamical fuzzy systems are becoming more and more popular and useful. Basic logic, or BL for short, has been introduced by Hájek [۵] in order to provide a general framework for formalizing statements of fuzzy nature. In this note, some of the closure properties of the BL-general fuzzy automaton based on lattice valued such as union, intersection, connection and a serial connection are considered, after that, the behavior of them are discussed. Moreover, for a given BL-general fuzzy automaton on the basis of lattice valued, a complete BL-general fuzzy automaton on the basis of lattice valued is presented. Afterward, we may test the Pumping Lemma for the BL-general fuzzy automaton based on lattice valued. In particular, a connection between the behavior of BL-general fuzzy automaton based on lattice valued and its language is presented. Also, it is proven that L is a recognizable set if and only if L is rational. Also, it is driven that Kleen’s Theorem is valid for the BL-general fuzzy automaton on the basis of lattice valued. Finally, we give some examples to clarify these notions.

Keywords:

Paper COI Code

This Paper COI Code is JR_KJMMRC-10-2_010. Also You can use the following address to link to this article. This link is permanent and is used as an article registration confirmation in the Civilica reference:

https://civilica.com/doc/1296095/

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Shamsizadeh, Marzieh and Zahedi, Mohammad Mehdi and Abolpour, Khadijeh,1400,Kleen’s Theorem for BL-general L-fuzzy automata,https://civilica.com/doc/1296095

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Type of center: دانشگاه دولتی
Paper count: 1,189
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