DOI QR코드

DOI QR Code

SOMEWHAT FUZZY ALMOST $\alpha$-IRRESOLUTE FUNCTIONS

  • Seenivasan, V. (DEPARTMENT OF MATHEMATICS ANNA UNIVERSITY TIRUCHIRAPPALLI-PANRUTI CAMPUS) ;
  • Balasubramanian, G. (RAMANUJAN INSTITUTE FOR ADVANCED STUDY IN MATHEMATICS UNIVERSITY OF MADRAS) ;
  • Thangaraj, G. (P. G. DEPARTMENT OF MATHEMATICS JAWAHAR SCIENCE COLLEGE)
  • 투고 : 2008.08.27
  • 심사 : 2009.09.23
  • 발행 : 2010.01.31

초록

In this paper the concepts of somewhat fuzzy almost $\alpha$-irresolute functions and strongly somewhat fuzzy $\beta$-open functions are introduced and studied. Besides giving characterizations of these functions, some interesting properties of these functions are also given.

키워드

참고문헌

  1. K. K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly conti-nuity, J. Math. Anal. Appl. 82 (1981), 14-32. https://doi.org/10.1016/0022-247X(81)90222-5
  2. A. S. Bin Shahna, On fuzzy strong semicontinuity and fuzzy pre-continuity, Fuzzy Sets and Systems 44 (1991), 303-308. https://doi.org/10.1016/0165-0114(91)90013-G
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  4. A. S. Mashhour, M. H. Ghanim and M. A. Fath Alla, On fuzzy non-continuous mappings, Bull. Cal. Math. Soc. 78 (1986), 57-69.
  5. R. Prasad, S. Thakur and R. K. Sand Saraf, Fuzzy $\alpha$ -irresolute mappings, J. Fuzzy Math. 2 (1994), 335-339.
  6. V. Seenivasan and G. Balasubramanian, Fuzzy almost $\alpha$ -irresolute functions, Kochi J.Math. 1 (2006), 77-88.
  7. P. Semets, The degree of belief in a fuzzy event, Information Sciences 25 (1981), 1-19. https://doi.org/10.1016/0020-0255(81)90008-6
  8. M. Sugeno, An introductory survey of fuzzy control, Information Sciences, 36 (1985),59-83. https://doi.org/10.1016/0020-0255(85)90026-X
  9. G. Thangaraj and G. Balasubramanian, On somewhat fuzzy continuous functions, J.Fuzzy Math. 11 (2003),1-12.
  10. G. Thangaraj and G. Balasubramanian, On somewhat fuzzy $\beta$-continuous functions, J.Indian Acad. Math. 24 (2002), 241-252.
  11. L. A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X