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Published in: Soft Computing 4/2019

14-09-2017 | Methodologies and Application

On characterization of fuzzy tree pushdown automata

Author: M. Ghorani

Published in: Soft Computing | Issue 4/2019

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Abstract

This paper introduces the concepts of fuzzy tree pushdown automata and fuzzy context-free tree grammars. At first, we show that any fuzzy context-free tree grammar can be converted into a corresponding definition of fuzzy Chomsky normal form for trees. Then, the relation between a fuzzy context-free tree grammar and a fuzzy tree pushdown automaton is investigated. In fact, we show that the class of languages accepted by fuzzy tree pushdown automata is identical to the one generated by fuzzy context-free tree grammars. Some examples are given to clarify the results.

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Literature
go back to reference Abolpour KH, Zahedi MM (2012) Isomorphism between two BL-general fuzzy automata. Soft Comput 16(4):729–736CrossRefMATH Abolpour KH, Zahedi MM (2012) Isomorphism between two BL-general fuzzy automata. Soft Comput 16(4):729–736CrossRefMATH
go back to reference Chaudhari SR, Joshi MN (2012) A note on fuzzy tree automata. Int J Comput Appl 56(17):1–5 Chaudhari SR, Joshi MN (2012) A note on fuzzy tree automata. Int J Comput Appl 56(17):1–5
go back to reference Drewes F (2006) Grammatical picture generation. A tree-based approach, texts in theoretical computer science, an EATCS series. Springer, Berlin Drewes F (2006) Grammatical picture generation. A tree-based approach, texts in theoretical computer science, an EATCS series. Springer, Berlin
go back to reference Ghorani M, Zahedi MM (2012) Characterizations of complete residuated lattice-valued finite tree automata. Fuzzy Sets Syst 199:28–46MathSciNetCrossRefMATH Ghorani M, Zahedi MM (2012) Characterizations of complete residuated lattice-valued finite tree automata. Fuzzy Sets Syst 199:28–46MathSciNetCrossRefMATH
go back to reference Ghorani M, Zahedi MM (2016) Alternating regular tree grammars in the framework of lattice-valued logic. Iran J Fuzzy Syst 13(2):71–94MathSciNetMATH Ghorani M, Zahedi MM (2016) Alternating regular tree grammars in the framework of lattice-valued logic. Iran J Fuzzy Syst 13(2):71–94MathSciNetMATH
go back to reference Ghorani M, Zahedi MM (2017) Coding tree languages based on lattice valued logic. Soft Comput 21(14):3815–3825 Ghorani M, Zahedi MM (2017) Coding tree languages based on lattice valued logic. Soft Comput 21(14):3815–3825
go back to reference Ghorani M, Zahedi MM, Ameri R (2012) Algebraic properties of complete residuated lattice valued tree automata. Soft Comput 16(10):1723–1732CrossRefMATH Ghorani M, Zahedi MM, Ameri R (2012) Algebraic properties of complete residuated lattice valued tree automata. Soft Comput 16(10):1723–1732CrossRefMATH
go back to reference Ignjatovic J, Ćirić M, Bogdanovic S (2008) Determinization of fuzzy automata with membership values in complete residuated lattices. Inf Sci 178:164–180MathSciNetCrossRefMATH Ignjatovic J, Ćirić M, Bogdanovic S (2008) Determinization of fuzzy automata with membership values in complete residuated lattices. Inf Sci 178:164–180MathSciNetCrossRefMATH
go back to reference Inagaki Y, Fukumura T (1975) On the description of fuzzy meaning of context-free language. In: Fuzzy sets and their applications to cognitive and decision processes, Proceedings of U.S. Japan Seminar, University of California, Berkeley, CA, 1974, Academic Press, New York, pp. 301–328 Inagaki Y, Fukumura T (1975) On the description of fuzzy meaning of context-free language. In: Fuzzy sets and their applications to cognitive and decision processes, Proceedings of U.S. Japan Seminar, University of California, Berkeley, CA, 1974, Academic Press, New York, pp. 301–328
go back to reference Lan S (1992) A machine accepted fuzzy context-free languages-fuzzy pushdown automata. BUSEFAL 49:67–72 Lan S (1992) A machine accepted fuzzy context-free languages-fuzzy pushdown automata. BUSEFAL 49:67–72
go back to reference Li YM, Ma ZY (2015) Quantitative computational tree logic model checking based on generalized possibility measures. IEEE Trans Fuzzy Syst 23(6):2034–2047CrossRef Li YM, Ma ZY (2015) Quantitative computational tree logic model checking based on generalized possibility measures. IEEE Trans Fuzzy Syst 23(6):2034–2047CrossRef
go back to reference Li L, Qiu D (2015) On the state minimization of fuzzy automata. IEEE Trans Fuzzy Syst 23(2):434–443CrossRef Li L, Qiu D (2015) On the state minimization of fuzzy automata. IEEE Trans Fuzzy Syst 23(2):434–443CrossRef
go back to reference Moghari S, Zahedi MM, Ameri R (2011) New direction in fuzzy tree automata. Iran J Fuzzy Syst 8(5):59–68MathSciNetMATH Moghari S, Zahedi MM, Ameri R (2011) New direction in fuzzy tree automata. Iran J Fuzzy Syst 8(5):59–68MathSciNetMATH
go back to reference Mordeson JN, Malik DS (2002) Fuzzy automata and languages: theory and applications. Chapman & Hall CRC, LondonCrossRefMATH Mordeson JN, Malik DS (2002) Fuzzy automata and languages: theory and applications. Chapman & Hall CRC, LondonCrossRefMATH
go back to reference Nidhi K, Ajay K (2016) Fuzzy state grammar and fuzzy deep pushdown automaton. J Intell Fuzzy Syst 31(1):249–258CrossRefMATH Nidhi K, Ajay K (2016) Fuzzy state grammar and fuzzy deep pushdown automaton. J Intell Fuzzy Syst 31(1):249–258CrossRefMATH
go back to reference Pan PY, Li YM, Cao YZ, Ma ZY (2015) Model checking fuzzy computation tree logic. Fuzzy Sets Syst 262:60–77 Pan PY, Li YM, Cao YZ, Ma ZY (2015) Model checking fuzzy computation tree logic. Fuzzy Sets Syst 262:60–77
go back to reference Schimpf KM (1982) A parsing method for context-free tree languages. Ph.D. dissertation, University of Pennsylvania, Philadelphia, PA Schimpf KM (1982) A parsing method for context-free tree languages. Ph.D. dissertation, University of Pennsylvania, Philadelphia, PA
go back to reference Shamsizadeh M, Zahedi MM (2016) Intuitionistic general fuzzy automata. Soft Comput 20(9):3505–3519CrossRefMATH Shamsizadeh M, Zahedi MM (2016) Intuitionistic general fuzzy automata. Soft Comput 20(9):3505–3519CrossRefMATH
go back to reference Thatcher JW, Wright JB (1968) Generalized finite automata theory with an application to a decision-problem of second order logic. Math Syst Theory 2:57–81MathSciNetCrossRefMATH Thatcher JW, Wright JB (1968) Generalized finite automata theory with an application to a decision-problem of second order logic. Math Syst Theory 2:57–81MathSciNetCrossRefMATH
go back to reference Wang J, Yin M, Gu W (2013) Fuzzy multiset finite automata and their languages. Soft Comput 17(3):381–390CrossRefMATH Wang J, Yin M, Gu W (2013) Fuzzy multiset finite automata and their languages. Soft Comput 17(3):381–390CrossRefMATH
go back to reference Wee WG, Fu KS (1969) A formulation of fuzzy automata and its application as a model of learning systems. IEEE Trans Syst Man Cybern 5:215–223MATH Wee WG, Fu KS (1969) A formulation of fuzzy automata and its application as a model of learning systems. IEEE Trans Syst Man Cybern 5:215–223MATH
go back to reference Xing HY, Qiu DW (2009) Pumping lemma in context-free grammar theory based on complete residuated lattice-valued logic. Fuzzy Sets Syst 160(8):1141–1151MathSciNetCrossRefMATH Xing HY, Qiu DW (2009) Pumping lemma in context-free grammar theory based on complete residuated lattice-valued logic. Fuzzy Sets Syst 160(8):1141–1151MathSciNetCrossRefMATH
go back to reference Xing HY, Qiu DW, Liu FC (2009) Automata theory based on complete residuated lattice-valued logic: pushdown automata. Fuzzy Sets Syst 160(8):1125–1140MathSciNetCrossRefMATH Xing HY, Qiu DW, Liu FC (2009) Automata theory based on complete residuated lattice-valued logic: pushdown automata. Fuzzy Sets Syst 160(8):1125–1140MathSciNetCrossRefMATH
go back to reference Zhang X, Li Y (2009) Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata. Soft Comput 13(6):611–616CrossRefMATH Zhang X, Li Y (2009) Intuitionistic fuzzy recognizers and intuitionistic fuzzy finite automata. Soft Comput 13(6):611–616CrossRefMATH
Metadata
Title
On characterization of fuzzy tree pushdown automata
Author
M. Ghorani
Publication date
14-09-2017
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 4/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-017-2829-7

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