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http://dx.doi.org/10.7858/eamj.2011.27.3.261

DECOMPOSITION OF CONTINUITY AND COMPLETE CONTINUITY IN SMOOTH FUZZY TOPOLOGICAL SPACES

Amudhambigai, B. (Department of Mathematics Sri Saradha College for Women)
Uma, M.K. (Department of Mathematics Sri Saradha College for Women)
Roja, E. (Department of Mathematics Sri Saradha College for Women)

Publication Information

East Asian mathematical journal / v.27, no.3, 2011 , pp. 261-271 More about this Journal

Abstract

In this paper, fuzzy ${\alpha}^*$ -set, fuzzy C-set, fuzzy AB-set, fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9]. By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

Keywords

r-fuzzy ${\beta}$ -regular set; r-weak fuzzy AB-set; r-fuzzy generalised semiclosed set; r-fuzzy ${\alpha}$ - $g{\beta}$ -closed set; fuzzy contra ${\alpha}$ - $g{\beta}$ -continuity;

Citations & Related Records

Reference

1	Uma. M. K., Roja. E. and Balasubramanian. G., A New Characterization of Fuzzy Entremally Disconnected Spaces, Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia, L III, (2005), 289-297.
2	Zadeh. L. A., Fuzzy sets, Information and Control 8 (1965), 338-353. DOI
3	Ramadan. A. A., Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. DOI ScienceOn
4	Ramadan. A. A., Abbas S. E. and Yong Chankim, Fuzzy irresolute mappings in smooth fuzzy topological spaces, The Journal of Fuzzy Mathematics 9 (2001), 865-877.
5	Samanta. S. K. and Chattopadhyay. K. C., Fuzzy topology: Fuzzy closure operator, Fuzzy compactness and Fuzzy connectedness, Fuzzy Sets and Systems. 54 (1993), 207-212. DOI ScienceOn
6	Smets. P., The degree of belief in a fuzzy event, Inform Sci. 25 (1981), 1-19. DOI ScienceOn
7	Chang. C. L, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. DOI
8	Chattopadhyay. K. C., Hazra R. N. and Samanta. S. K., Gradation of openness: Fuzzy topology, Fuzzy Sets and System 49 (1992), 237-242. DOI ScienceOn
9	Sostak. A. P., On a Fuzzy topological structure, Revid. Circ. Matem Palermo (ser II) 11 (1985), 89-103.
10	Sostak. A. P., On the neighbourhood structure of a fuzzy topological space, zb. Rodova Univ. Nis. Ser. Math. 4 (1990), 7-14.
11	Hohle. U. and Sostak. A. P., A general theory of fuzzy topological spaces, Fuzzy Sets and Systems 73 (1995), 131-149. DOI ScienceOn
12	Hohle. U. and Sostak. A. P., Axiomotic Foundations of Fixed - Basis fuzzy topology, The Hand - books of Fuzzy sets series, vol.3, Kluwer Academic Publishers, Dordecht (Chapter 3), 1999.
13	Kubiak. T. and Sostak. A. P., Lower set valued fuzzy topologies, Questions Math. 20 (1997), 423-429. DOI
14	Sostak. A. P., Basic structures of fuzzy topology, J. Math. Sciences 78 (1996), 662-701. DOI ScienceOn
15	Sugeno. M., An introductory survey of Fuzzy Control, Inform. Sci. 36 (1985), 59-83. DOI ScienceOn
16	Lowen. R., Fuzzy topological spaces and Fuzzy compactness, J. Math. Anal. Appl. 56 (1976), 621-633. DOI
17	Peeters. W., Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures, Fuzzy Sets and Systems 104 (1999), 423-433. DOI ScienceOn