Fuzzy \(\alpha-\psi^*\)-operator in fuzzy automata orbit structure spaces

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DOI:

https://doi.org/10.26637/MJM0803/0086

Abstract

In this paper, the notion of fuzzy automata orbit structure spaces is introduced and the concepts of fuzzy automata orbit- \(\alpha-\psi^*\)-open subsystems and fuzzy automata orbit- \(\alpha-\psi^*\)-closed subsystems are studied with suitable examples. Also, the notions of fuzzy automata orbit- \(\alpha-\psi^*\)-co-kernel subsystems, fuzzy automata orbit- \(\alpha-\psi^*\)-kernel subsystems, fuzzy automata orbit- \(\alpha-\psi^*\)-meager* subsystems and fuzzy automata orbit -\(\alpha-\psi^*\) comeager* subsystems are introduced and some of their properties are studied.

Keywords:

Fuzzy automata orbit structure spaces, F A \(\mathscr{O}_\phi-\alpha-\psi^*\)-open subsystems, F A \(\mathscr{O}_\phi-\alpha-\psi^*\)-closed subsystems, F A \(\mathscr{O}_\phi-\alpha-\psi^*\)-kernel subsystems

Mathematics Subject Classification:

Mathematics
  • Pages: 1222-1227
  • Date Published: 01-07-2020
  • Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24(1968), 182-190.

P. Das, A fuzzy topology associated with a fuzzy finite state machine, Fuzzy Sets and Systems, 105(1999), 469479.

R. L. Devaney, Introduction to Chaotic Dynamical Systems, Redwood City, Calif, Addison-Wesley, 1986.

D. S. Malik and J. N. Morderson, Algebraic fuzzy automata theory, Arabian J. Sci. Eng., 25(2000), 23-50.

A. K. Srivastava and S. P. Tiwari, A topology for fuzzy automata, Proc. AFSS International Conference on Fuzzy Systems, Lecture Notes in Artificial Intelligence, SpringerVerlag, 2275 (2002), 485-491.

A. K. Srivastava and S. P. Tiwari, On relationships among fuzzy approximation operators, fuzzy topology and fuzzy automata, Fuzzy Sets and Systems, 138(2003), 197-204.

W. G. Wee, On Generalizations of Adaptive Algorithm and Application of Fuzzy Sets Concept to Pattern Classification, Ph. D. Thesis, Purdue University, 1967.

L. A. Zadeh, Fuzzy Sets, Information and Control, $8(1965), 338-353$.

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Published

01-07-2020

How to Cite

M. Rowthri, and B. Amudhambigai. “Fuzzy \(\alpha-\psi^*\)-Operator in Fuzzy Automata Orbit Structure Spaces”. Malaya Journal of Matematik, vol. 8, no. 03, July 2020, pp. 1222-7, doi:10.26637/MJM0803/0086.