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On intuitionistic fuzzy soft continuous mappings

Year 2014, Volume: 3 Issue: 4, 55 - 70, 01.04.2014

Abstract

In this study, we introduce intuitionistic fuzzy softpoint and study the concept of neighborhood of a intuitionisticfuzzy soft point in a intuitionistic fuzzy soft topological space.Also we define intuitionistic fuzzy soft continuity of intuitionisticfuzzy soft mapping and investigate some properties of continuousmaps in intuitionistic fuzzy soft topological spaces

References

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  • M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 57 (2009)1547-1553.
  • K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20(1986)87-96. [4] A. Ayg¨uno˘glu and H. Ayg¨un, Some notes on soft topological spaces, Neural Com- put and Applic, (2011), 1-7.
  • N. C¸ a˘gman, S. Engino˘glu, Soft set theory and uni-int decision making, European Journal of Operational Research 10.16/ j.ejor.2010.05.004, 2010.
  • D. C¸ oker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88(1997)81-89.
  • N. C¸ a˘gman, S. Karata¸s and S. Engino˘glu, Soft topology, Computers and Mathe- matics with Applications, 62 (2011), 351-358.
  • D. N. Georgiou and A. C. Megaritis, Soft set theory and topology, Applied General Topology, 14, (2013).
  • D. N. Georgiou, A. C. Megaritis and V. I. Petropoulos, On Soft Topological Spaces, Applied Mathematics & Information Sciences, 7, No. 5, 1889-1901 (2013).
  • S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications,
  • Z. Li and R. Cui, On the topological structure of intuitionistic fuzzy soft set, Annals of Fuzzy Mathematics and Informatics, Volume 5, No. 1 (2013), pp. 229-239.
  • P.K. Maji, R. Biswas, and A.R. Roy, Intuitionistic Fuzzy Soft Sets, The Journal of Fuzzy Mathematics
  • P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002)1077-1083.
  • P.K. Maji, R. Bismas, A.R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003) 555-562.
  • P. K. Majumdar, More on Intuitionistic Fuzzy Soft Sets, Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, Springer-Verlag (12th International Con- ference, Proceedings, RSFDGrC 2009 Delhi, India.)
  • P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002)1077-1083.
  • D.A. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • ˙I. Osmano˘glu and D. Tokat, On Intuitionistic Fuzzy Soft Topology, General Math- ematics Notes, 19(2), 59-70, 2013.
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61 (2011) 1786-1799.
  • B. Tanay and M.B. Kandemir, Topological structure of fuzzy soft sets, Computers and Mathematics with Applications 61 (2011) 2952-2957.
  • N. Turanlı and A. H. Es, A note on compactness in intuitionistic fuzzy soft topo- logical spaces, World Applied Sciences Journals, 9(9) (2012),1355-1359.
  • B. P. Varol, A. Shostak and H. Ayg¨un, A new approach to soft topology, Hacettepe Journal of Mathematics and Statistics Volume 41(5) (2012), 731-741.
  • B. P. Varol and H. Ayg¨un, Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics Volume 41(3) (2012), 407-419.
  • Y. Yin, H. Li, Y.B. Jun, On algebraic structures of intuitionistic fuzzy soft sets, Computers and Mathematics with Applications 61 (2012) 2896-2911.
  • L. Zadeh, Fuzzy Sets, Inform. and Control 8 (1965) 338-353.
  • ˙I. Zorlutuna, M. Akda˘g, W.K. Min, S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, Volume 3, No. 2, pp. 171-185.
Year 2014, Volume: 3 Issue: 4, 55 - 70, 01.04.2014

Abstract

References

  • H. Akta¸s, N. C¸ a˘gman, Soft sets and soft groups, Information Sciences 177 (2007) 2726-2735.
  • M.I. Ali, F. Feng, X. Liu, W.K. Min, M. Shabir, On some new operations in soft set theory, Computers and Mathematics with Applications 57 (2009)1547-1553.
  • K.T. Atanassov, Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20(1986)87-96. [4] A. Ayg¨uno˘glu and H. Ayg¨un, Some notes on soft topological spaces, Neural Com- put and Applic, (2011), 1-7.
  • N. C¸ a˘gman, S. Engino˘glu, Soft set theory and uni-int decision making, European Journal of Operational Research 10.16/ j.ejor.2010.05.004, 2010.
  • D. C¸ oker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88(1997)81-89.
  • N. C¸ a˘gman, S. Karata¸s and S. Engino˘glu, Soft topology, Computers and Mathe- matics with Applications, 62 (2011), 351-358.
  • D. N. Georgiou and A. C. Megaritis, Soft set theory and topology, Applied General Topology, 14, (2013).
  • D. N. Georgiou, A. C. Megaritis and V. I. Petropoulos, On Soft Topological Spaces, Applied Mathematics & Information Sciences, 7, No. 5, 1889-1901 (2013).
  • S. Hussain and B. Ahmad, Some properties of soft topological spaces, Computers and Mathematics with Applications,
  • Z. Li and R. Cui, On the topological structure of intuitionistic fuzzy soft set, Annals of Fuzzy Mathematics and Informatics, Volume 5, No. 1 (2013), pp. 229-239.
  • P.K. Maji, R. Biswas, and A.R. Roy, Intuitionistic Fuzzy Soft Sets, The Journal of Fuzzy Mathematics
  • P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002)1077-1083.
  • P.K. Maji, R. Bismas, A.R. Roy, Soft set theory, Computers and Mathematics with Applications 45 (2003) 555-562.
  • P. K. Majumdar, More on Intuitionistic Fuzzy Soft Sets, Rough Sets, Fuzzy Sets, Data Mining and Granular Computing, Springer-Verlag (12th International Con- ference, Proceedings, RSFDGrC 2009 Delhi, India.)
  • P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Computers and Mathematics with Applications 44 (2002)1077-1083.
  • D.A. Molodtsov, Soft set theory-first results, Computers and Mathematics with Applications 37 (1999) 19-31.
  • ˙I. Osmano˘glu and D. Tokat, On Intuitionistic Fuzzy Soft Topology, General Math- ematics Notes, 19(2), 59-70, 2013.
  • M. Shabir and M. Naz, On soft topological spaces, Computers and Mathematics with Applications 61 (2011) 1786-1799.
  • B. Tanay and M.B. Kandemir, Topological structure of fuzzy soft sets, Computers and Mathematics with Applications 61 (2011) 2952-2957.
  • N. Turanlı and A. H. Es, A note on compactness in intuitionistic fuzzy soft topo- logical spaces, World Applied Sciences Journals, 9(9) (2012),1355-1359.
  • B. P. Varol, A. Shostak and H. Ayg¨un, A new approach to soft topology, Hacettepe Journal of Mathematics and Statistics Volume 41(5) (2012), 731-741.
  • B. P. Varol and H. Ayg¨un, Fuzzy soft topology, Hacettepe Journal of Mathematics and Statistics Volume 41(3) (2012), 407-419.
  • Y. Yin, H. Li, Y.B. Jun, On algebraic structures of intuitionistic fuzzy soft sets, Computers and Mathematics with Applications 61 (2012) 2896-2911.
  • L. Zadeh, Fuzzy Sets, Inform. and Control 8 (1965) 338-353.
  • ˙I. Zorlutuna, M. Akda˘g, W.K. Min, S. Atmaca, Remarks on soft topological spaces, Annals of Fuzzy Mathematics and Informatics, Volume 3, No. 2, pp. 171-185.
There are 25 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Serkan Karata»s This is me

Metin Akdag This is me

Publication Date April 1, 2014
Published in Issue Year 2014 Volume: 3 Issue: 4

Cite

APA Karata»s, S., & Akdag, M. (2014). On intuitionistic fuzzy soft continuous mappings. Journal of New Results in Science, 3(4), 55-70.
AMA Karata»s S, Akdag M. On intuitionistic fuzzy soft continuous mappings. JNRS. April 2014;3(4):55-70.
Chicago Karata»s, Serkan, and Metin Akdag. “On Intuitionistic Fuzzy Soft Continuous Mappings”. Journal of New Results in Science 3, no. 4 (April 2014): 55-70.
EndNote Karata»s S, Akdag M (April 1, 2014) On intuitionistic fuzzy soft continuous mappings. Journal of New Results in Science 3 4 55–70.
IEEE S. Karata»s and M. Akdag, “On intuitionistic fuzzy soft continuous mappings”, JNRS, vol. 3, no. 4, pp. 55–70, 2014.
ISNAD Karata»s, Serkan - Akdag, Metin. “On Intuitionistic Fuzzy Soft Continuous Mappings”. Journal of New Results in Science 3/4 (April 2014), 55-70.
JAMA Karata»s S, Akdag M. On intuitionistic fuzzy soft continuous mappings. JNRS. 2014;3:55–70.
MLA Karata»s, Serkan and Metin Akdag. “On Intuitionistic Fuzzy Soft Continuous Mappings”. Journal of New Results in Science, vol. 3, no. 4, 2014, pp. 55-70.
Vancouver Karata»s S, Akdag M. On intuitionistic fuzzy soft continuous mappings. JNRS. 2014;3(4):55-70.


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