Cloud modeling of quasi - order groups on general fuzzy automata

Subject Areas : Statistics

Mohammad  horry ¹ (Assistant Professor, Department of Mathematics, Faculty of Shahid Chamran, Kerman Branch Technical and Vocational University, Kerman, Iran)

Received: 2019-05-04 Accepted : 2019-12-24 Published : 2020-10-22

Keywords: فضای اتصال, رابطه هم ارزی, اتوماتا, ابرگروه,

Abstract :

In this paper, first a simplified version of a general fuzzy automaton with a fixed c is defined and then a subepisode of a simplified version of a general fuzzy automaton with a constant c is defined and explained connected and strong connected them, and finally, a model of quasi-order hypergroup on general fuzzy automaton with constant c is presented and the relationships between them are reviewed.In this paper, first a simplified version of a general fuzzy automaton with a fixed c is defined and then a subepisode of a simplified version of a general fuzzy automaton with a constant c is defined and explained connected and strong connected them, and finally, a model of quasi-order hypergroup on general fuzzy automaton with constant c is presented and the relationships between them are reviewed.In this paper, first a simplified version of a general fuzzy automaton with a fixed c is defined and then a

References:

[1] M. A. Arbib. From automata theory to brain theory, Int. J. Man- Machine Stud. 7 (3), 279-295(1975)

 

[2] W.R. Ashby. Design for a brain, Chapman and Hall, London(1954).

 

[3] B. R. Gaines, L. J. Kohout. The logic of automata, Int. J. Gen. Syst. , 2, 191-208(1976).

 

[4] D. Ashlock ,  A. Wittrock,  T.Wen. Training finite state machine to improve  PCR primer design, in: Proceedings of the 2002 Congress on

Evolutionary Computation(2002).

 

[5] R. Maclin, J. Shavlik. Refining domain theories expressed as finite- state automata, in: L.B.G. Collins (Ed.) Proceedings of the 8^th  International Workshop on Machine Learning, Morgan Kaufmann,  San Mateo CA(1991).

 

[6] G. G. Massouros. An automaton during its operation, Algebraic Hyperstructures and  Apple. Proc. 5^th Inter. Congress Iasi, Hadronic Press, Palm Harbor USA, 267-276(1993).

 

[7] J.N. Mordeson, D.S. Malik. Fuzzy automata and languages, theory and applications, London: Chapman and Hall(2002).

 

[8] M. Doostfatemeh, S.C. Kremer. New directions in fuzzy automata, International Journal of Approximate Reasoning, 38, 175-214(2005). 

 

[9] M. Horry, M.M. Zahedi. Fuzzy subautomata of an invertible general      fuzzy automaton, Annals of fuzzy sets, fuzzy logic and fuzzy systems, 2, 29-47(2013).

 

[10] M.M. Zahedi, M. Horry, KH. Abolpor.  Bifuzzy (General) topology on

max-min general fuzzy automata, Advanced in Fuzzy Mathematics, 3, 51-68 (2008).

 

[11] P. Corsini, Prolegomena of  hypergroup theory, Aviani Editore(1993).

 

[12] P. Corsini, V.  Leoreanu.  Applications of hyperstructure theory,

Kluwer Academic Publishers, Advances in Mathematics(2003).