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ON SOMEWHAT FUZZY AUTOMATA CONTINUOUS FUNCTIONS IN FUZZY AUTOMATA TOPOLOGICAL SPACES | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 10، دوره 15، شماره 1، بهار 2018، صفحه 163-178 اصل مقاله (346.54 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2018.3584 | ||
نویسندگان | ||
N. Krithika* 1؛ B. Amudhambigai2 | ||
1Department of Mathematics, Sri Sarada College for Women, Salem, Tamilnadu, India | ||
2Department of Mathematics, Sri Sarada College forWomen, Salem, Tamilnadu, India | ||
چکیده | ||
In this paper, the concepts of somewhat fuzzy automata continuous functions and somewhat fuzzy automata open functions in fuzzy automata topological spaces are introduced and some interesting properties of these functions are studied. In this connection, the concepts of fuzzy automata resolvable spaces and fuzzy automata irresolvable spaces are also introduced and their properties are studied. | ||
کلیدواژهها | ||
Somewhat fuzzy automata continuous function؛ Somewhat fuzzy automata open function؛ Fuzzy automata resolvable and fuzzy automata irresolvable space | ||
مراجع | ||
[1] K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl., 82 (1981), 14{32. [2] K. K. Azad, Fuzzy Hausdroff spaces and fuzzy perfect mappings, J. Math. Anal. Appl., 82 (1981), 297{305. [3] C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182{190. [4] P. Das, A fuzzy topology associated with a fuzzy finite state machine, Fuzzy Sets and Systems, 105(3) (1999), 469{479. [5] D. H. Foster, Fuzzy topological groups, J. Math. Anal. Appl., 67 (1979), 549{564. [6] K. R. Gentry and H. B. Hoyle III, Somewhat continuous functions, Czech. Math. J., 21 (96) (1971), 5{12. [7] M. Ghorani and M. M. Zahedi, Characterizations of complete residuated lattice-valued finite tree automata, Fuzzy Sets and Systems, 199 (2012) 28{46. [8] E. Hewitt, A problem in set theoretic topology, Duke Math. J., 10 (1943), 309{333. [9] J. Ignjatovic, M. Ciric and S. Bogdanovic, Determinization of fuzzy automata with member- ship values in complete residuated lattices, Information Sciences, 178 (2008), 164{180. [10] J. Ignjatovic, M. Ciric and V. Simovic, Fuzzy relation equations and subsystems of fuzzy transition systems, Knowledge-Based Systems, 38 (2013), 48{61. [11] Y. M. Li, A categorical approach to lattice-valued fuzzy automata, Fuzzy Sets and Systems, 157 (2006), 855{864. [12] Y. M. Li, Finite automata theory with membership values in lattices, Information Sciences, 181 (2011), 1003{1017. [13] P. Li and Y. M. Li, Algebraic properties of LA-languages, Information Sciences, 176 (2006), 3232{3255. [14] Z. H. Li, P. Li and Y. M. Li, The relationships among several types of fuzzy automata, Information Sciences, 176 (2006), 2208{2226. [15] D. S. Malik and J. N. Mordeson, Algebraic fuzzy automata theory, Arabian J. Sci, Eng., 25 (2000), 23{50. [16] D. S. Malik, J. N. Mordeson and M. K. Sen, On subsystems of fuzzy finite state machines, Fuzzy Sets and Systems, 68 (1994), 83{92. [17] P. V. Ramakrishnan and V. Lakshmana Gomathi Nayagam, Nearly fuzzy Hausdor spaces, Indian J. Pure Appl. Math., 31(5) (2000), 695{712. [18] A. K. Srivastava and S. P. Tiwari, A topology for fuzzy automata, Proc. AFSS International Conference on Fuzzy Systems, Lecture Notes in Artificial Intelligence, Springer-Verlag, 2275 (2002), 485{491. [19] 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. [20] G. Thangaraj and G. Balasubramanian, On somewhat fuzzy continuous functions, J. Fuzzy Math., 11(2) (2003), 725{736. [21] S. P. Tiwari and S. Sharan, Fuzzy automata based on lattice-ordered monoids with algebraic and topological aspects, Fuzzy Information and Engineering, 2 (2012), 155{164. [22] S. P. Tiwari, A. K. Singh and S. Sharan, Fuzzy automata based on lattice-ordered monoid and associated topology, Journal of Uncertain Systems, 6(1) (2012), 51{55. [23] S. P. Tiwari, A. K. Singh, S. Sharan and V. K. Yadav, Bifuzzy core of fuzzy automata, Iranian Journal of Fuzzy Systems, 12(2) (2015), 63{73. [24] W. G.Wee, On generalizations of adaptive algorithm and application of the fuzzy sets concept to pattern classification , Ph. D. Thesis, Purdue University, 1967. [25] L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338{353. | ||
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