Gerasimos G. Massouros  

 

Publications by Gerasimos G. Massouros

 

Doctoral Thesis

         G. G. Massouros:

Automata, Languages and hypercompositional structures,

National Technical University of Athens (1993)  

 

Publications in refereed journals

         G. G. Massouros:

Hypercompositional Structures in the Theory of Languages and Automata,

An. Sti. Univ. Al. I. Cuza, Iasi, Sect. Inform,. t.iii, pp. 65-73 (1994).

         G. G. Massouros:

Fortified Join Hypergroups and Join Hyperrings,

An. Sti. Univ. Al. I. Cuza, Iasi, Sect. I, Mat. , t.XLI, fasc. 1, pp. 37-44 (1995).

         G. G. Massouros:

On the Hypergroup Theory,

Fuzzy Systems & A.I. - Reports & Letters, Academia Romana, vol. iv, No 2/3, pp. 13-25 (1995) and Scripta Scientiarum Mathematicarum, Tom. I, fasc. I, pp. 153-170 (1997).

         G. G. Massouros, Ch. G. Massouros and J. Mittas:

Fortified Join Hypergroups,

Annales Mathematiques Blaise Pascal, Vol. 3, No 2, pp. 155-169 (1996).

         G. G. Massouros:

The Subhypergroups of the Fortified Join Hypergroup,

Italian Journal of Pure and Applied Mathematics, No 2, pp. 51-63 (1997).

         G. G. Massouros:

The Hyperringoid,

Multiple Valued Logic, Vol. 3, pp. 217-234 (1998).

         G. G. Massouros:

Hypercompositional Structures from the Computer Theory,

Ratio Matematica, No 13,  pp. 37-42 (1999).

         G. G. Massouros and Ch. G. Massouros:

Homomorphic relations on Hyperringoids and Join Hyperrings,

Ratio Matematica, No 13,  pp. 61-70 (1999).

         G. G. Massouros:

On the attached hypergroups of the order of an automaton,

Journal of Discrete Mathematical Sciences & Cryptography, Vol. 6, No 2-3, pp. 207-215 (2003).

         G. G. Massouros:

On hypergroups with operators and hyperoperators,

Advances in Abstract Algebra (ed. I. Tofan, M. Gontineac, M. Tarnauceanu) pp. 19-27 (2006).

         Ch. G. Massouros and G. G. Massouros:

Transposition Polysymmetrical Hypergroups with Strong Identity,

Journal of Basic Science, Vol. 4, No 1,  pp. 85-93 (2008).

        Ch. G. Massouros and G. G. Massouros:

The Transposition Axiom in Hypercompositional Structures,

Ratio Mathematica,  No. 21,  pp. 75-90 (2011).

        Ch. G. Massouros and G. G. Massouros:  

On certain fundamental properties of hypergroups and fuzzy hypergroups – Mimic fuzzy hypergroups,

International Journal of Risk Theory, Vol 2, No 2 (2012) pp. 71-82

        Ch. G. Massouros and G. G. Massouros:

On the algebraic structure of transposition hypergroups with idempotent identity,

Iranian Journal of Mathematical Sciences and Informatics, Vol. 8, No. 2 (2013) pp. 57-74.

        Ch. G. Massouros and G. G. Massouros:

Transposition hypergroups with idempotent identity,

International Journal of Algebraic Hyperstructures and its Applications, Vol. 1, No. 1 (2014) pp. 15-27.

        G. G. Massouros and Ch. G. Massouros:

Hypercompositional Algebra, Computer Science and Geometry

Mathematics, 2020, 8, 1338; doi:10.3390/math8081338.

        Ch. G. Massouros and G. G. Massouros:

An Overview of the Foundations of the Hypergroup Theory

Mathematics, 2021, 9, 1014; doi.org/10.3390/math9091014.

        G. G. Massouros and Ch. G. Massouros:

State Machines and Hypergroups

Mathematics, 2022, 10(14), 2427; doi.org/10.3390/math10142427.

        Ch. G. Massouros and G. G. Massouros:

On the Borderline of Fields and Hyperfields

Mathematics, 2023, 11, 1289; doi.org/10.3390/math11061289.

        Ch. G. Massouros and G. G. Massouros:

On the Borderline of Fields and Hyperfields Part II - Enumeration and classification of the hyperfields of order 7

arXiv:2412.11331 [math.RA] ; doi.org/10.48550/arXiv.2412.11331.

 

 

 

Publications in Conference Proceedings

         G. G. Massouros and J. Mittas:

Languages, Automata and Hypercompositional Structures,

Proceedings of the 4th International Congress on Algebraic Hyperstructures and Applications, Xanthi 1990, World Scientific 1991, pp. 137-147.

         G. G. Massouros:

Automata and Hypermoduloids,

Proceedings of the 5th International Congress on Algebraic Hyperstructures and Applications, Iasi 1993, Hadronic Press 1994, pp. 251-265.

         G. G. Massouros:

An Automaton during its operation,

Proceedings of the 5th International Congress on Algebraic Hyperstructures and Applications, Iasi 1993, Hadronic Press 1994, pp. 267-276.

         G. G. Massouros:

A new approach to the Theory of Languages and Automata,

Proceedings of the 26th Annual Iranian Mathematics Conference, Kerman, Iran, 1995, Vol. 2, pp. 237-239.

         G. G. Massouros:

Solving Equations and Systems in the environment of a Hyperringoid,

Proceedings of the 6th International Congress on Algebraic Çyperstructures and Applications,  Prague 1996, Demokritus Univ. of Thrace Press 1997, pp. 103-113.

         G. G. Massouros:

Monogene Symmetrical Subhypergroups of the Fortified Join Hypergroup,

Proceedings of the European Conference on Intelligent Technologies 2000, Iasi 2000, Advances in Generalized Structures Approximate Reasoning and Applications, published by the cooperation of University of Teramo, Romanian Society for Fuzzy Systems and BMFSA Japan, 2001, pp. 45 – 53.

        G. G. Massouros, F. A. Zafiropoulos and Ch. G. Massouros:

Transposition Polysymmetrical hypergroups,

Proceedings of the 8th International Congress on Algebraic Çyperstructures and Applications, Samothraki 2002, Spanidis Press 2003, pp. 191-202.

         Ch. G. Massouros and G. G. Massouros:  

Elements and Results on Polysymmetrical Hypergroups,

Proceedings of the European Conference on Intelligent Technologies 2006, Iasi 2006, Advances in Intelligent Systems and Technologies, Advances in  Mathematics of Uncertainty, pp. 19-29.

        Ch. G. Massouros and G. G. Massouros:

Operators and Hyperoperators acting on Hypergroups,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics ICNAAM 2008 Kos, American Institute of Physics (AIP) Conference Proceedings, pp. 380-383.

        Ch. G. Massouros and G. G. Massouros:

On Join Hyperrings,

Proceedings of the 10th International Congress on Algebraic Çyperstructures and Applications,  Brno, Czech Republic 2009, pp. 203-215.

        Ch. G. Massouros and G. G. Massouros:

Hypergroups Associated with Graphs and Automata,

Proceedings of the International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2009 Crete, American Institute of Physics (AIP) Conference Proceedings, pp. 164-167.

        Ch. G. Massouros and G. G. Massouros:

Identities in Multivalued Algebraic Structures,

International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2010 Rhodes, American Institute of Physics (AIP) Conference Proceedings,  pp. 2065-2068.

        Ch. G. Massouros and G. G. Massouros:

On 2-element Fuzzy and Mimic Fuzzy Hypergroups,

 Numerical Analysis and Applied Mathematics, ICNAAM 2012, AIP Conference Proceedings, 1479, pp. 2213-2216.

        Ch. G. Massouros and G. G. Massouros:

On Subhypergroups of Fortified Transposition Hypergroups,

Numerical Analysis and Applied Mathematics, ICNAAM 2013, AIP Conference Proceedings, 1558, pp. 2055-2058.

    Ch. G. Massouros and G. G. Massouros:

On Open and Closed Hypercompositions,

1st Symposium on Hypercompositional Algebra - new Developments and Applications, 1st HAnDA,  International Conference on Numerical

Analysis and Applied Mathematics, ICNAAM 2017, AIP Conf. Proc. 1778, 340002-1–340002-4; doi: 10.1063/1.5043945

 

 

 

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