BibTex RIS Cite

A New Approach to Soft Topology

Year 2012, Volume: 41 Issue: 5, 731 - 741, 01.05.2012

Banu Pazar Varol - - Er Shostak Halis Aygün

Keywords

-

References

  • Ahmat, B. and Kharal, A. On fuzzy soft sets, Adv. Fuzzy Syst., DOI:10.1155/2009/586507.
  • Akta¸s, H. and C¸ aˇgman, N. Soft sets and soft group, Inform. Sci. 177, 2726–2735, 2007.
  • Ayg¨unoˇglu, A. and Ayg¨un, H. Introduction to fuzzy soft groups, Comput. Math. Appl. 58, –1286, 2009.
  • Ayg¨unoˇglu, A. and Ayg¨un, H. Some notes on oft topological spaces, Neural Comput and Applic., DOI 10.1007/ s00521-011-0722-3.
  • Ayg¨un, H., Warner, M. W. and Kudri, S. R. On smooth L-fuzzy topological spaces, J. Fuzzy Math. 5 (2), 321–338, 1997.
  • C¸ aˇgman, N. and Enginoˇglu, S. Soft set theory and uni-int decision makig, European J. Oper. Res. 207, 848–855, 2010.
  • Chang, C. L. Fuzzy topolocial space, J. Math. Anal. Appl. 24, 182–190, 1968.
  • Feng, F., Jun, Y. B. and Zhao, X. Soft semirings, Comput. Math. Appl. 56, 2621–2628,
  • Goguen, J. A. L-fuzzy sets, J. Math. Anal. Appl. 18, 145–174, 1967.
  • Maji, P. K., Biswas, R. and Roy, A. R Fuzzy soft sets, J. Fuzzy Math. 9 (3), 589–602, 2001.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl. 45, 555–562, Majumdar, P. and Samanta, S. K. Generalised fuzzy soft sets, Comput. Math. Appl. 59, –1432, 2010.
  • Molodtsov, D. Soft set theory - First results, Comput. Math. Appl. 37 (4-5), 19–31, 1999.
  • Pazar Varol, B., Ayg¨unoˇglu, A. and Ayg¨un, H. On fuzzy soft rings, Journal of Hyperstruc- tures, accepted. Pazar Varol, B. and Ayg¨un, H. On fuzzy soft topology, Hacet. J. Math. Stat. 41 (3), 407–419, Pazar Varol, B., Shostak, A. P. and Ayg¨un, H. Categories related to topology viewed as soft sets, Processing of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2011) 1-1, 883-890, 2011.
  • Pei, D. and Miao, D. From soft sets to information systems, Granular Computing, IEEE International Conference, 617–621, 2005.
  • Ramadan, A. A. and Abbas, S. E. On L-smooth compactness, J. Fuzzy Math. 9 (1), 59–73, Rodabaugh, S. E. Powerset operator foundations for poslat fuzzy set theories and topologies, Chapter 2 in ( Mathematics of Fuzzy Sets: Logic, Topology adn Measure Theory, U.Hohle and S.E. Rodabaugh eds., Kluwer Academic Publishers, 91-116, 1999).
  • Shabir, M. and Naz, M. On soft topological spaces, Comput. Math. Appl. 61, 1786–1799,
  • Shostak, A. P. On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palermo 2 Ser II 11, 89–103, 1985.
  • Yang, X., Lin, T. S., Yang, J., Li, Y. and Yu, D. Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl. 58, 521–527, 2009.
  • Ying, M. A new approach to fuzzy topology (I), Fuzzy Sets and Systems 39, 303–321, 1991.
  • Zadeh, L.A. Fuzzy sets, Information and Control 8, 338–353, 1965.

A New Approach to Soft Topology

Year 2012, Volume: 41 Issue: 5, 731 - 741, 01.05.2012

Banu Pazar Varol - - Er Shostak Halis Aygün

Keywords

-

References

  • Ahmat, B. and Kharal, A. On fuzzy soft sets, Adv. Fuzzy Syst., DOI:10.1155/2009/586507.
  • Akta¸s, H. and C¸ aˇgman, N. Soft sets and soft group, Inform. Sci. 177, 2726–2735, 2007.
  • Ayg¨unoˇglu, A. and Ayg¨un, H. Introduction to fuzzy soft groups, Comput. Math. Appl. 58, –1286, 2009.
  • Ayg¨unoˇglu, A. and Ayg¨un, H. Some notes on oft topological spaces, Neural Comput and Applic., DOI 10.1007/ s00521-011-0722-3.
  • Ayg¨un, H., Warner, M. W. and Kudri, S. R. On smooth L-fuzzy topological spaces, J. Fuzzy Math. 5 (2), 321–338, 1997.
  • C¸ aˇgman, N. and Enginoˇglu, S. Soft set theory and uni-int decision makig, European J. Oper. Res. 207, 848–855, 2010.
  • Chang, C. L. Fuzzy topolocial space, J. Math. Anal. Appl. 24, 182–190, 1968.
  • Feng, F., Jun, Y. B. and Zhao, X. Soft semirings, Comput. Math. Appl. 56, 2621–2628,
  • Goguen, J. A. L-fuzzy sets, J. Math. Anal. Appl. 18, 145–174, 1967.
  • Maji, P. K., Biswas, R. and Roy, A. R Fuzzy soft sets, J. Fuzzy Math. 9 (3), 589–602, 2001.
  • Maji, P. K., Biswas, R. and Roy, A. R. Soft set theory, Comput. Math. Appl. 45, 555–562, Majumdar, P. and Samanta, S. K. Generalised fuzzy soft sets, Comput. Math. Appl. 59, –1432, 2010.
  • Molodtsov, D. Soft set theory - First results, Comput. Math. Appl. 37 (4-5), 19–31, 1999.
  • Pazar Varol, B., Ayg¨unoˇglu, A. and Ayg¨un, H. On fuzzy soft rings, Journal of Hyperstruc- tures, accepted. Pazar Varol, B. and Ayg¨un, H. On fuzzy soft topology, Hacet. J. Math. Stat. 41 (3), 407–419, Pazar Varol, B., Shostak, A. P. and Ayg¨un, H. Categories related to topology viewed as soft sets, Processing of the 7th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2011) 1-1, 883-890, 2011.
  • Pei, D. and Miao, D. From soft sets to information systems, Granular Computing, IEEE International Conference, 617–621, 2005.
  • Ramadan, A. A. and Abbas, S. E. On L-smooth compactness, J. Fuzzy Math. 9 (1), 59–73, Rodabaugh, S. E. Powerset operator foundations for poslat fuzzy set theories and topologies, Chapter 2 in ( Mathematics of Fuzzy Sets: Logic, Topology adn Measure Theory, U.Hohle and S.E. Rodabaugh eds., Kluwer Academic Publishers, 91-116, 1999).
  • Shabir, M. and Naz, M. On soft topological spaces, Comput. Math. Appl. 61, 1786–1799,
  • Shostak, A. P. On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palermo 2 Ser II 11, 89–103, 1985.
  • Yang, X., Lin, T. S., Yang, J., Li, Y. and Yu, D. Combination of interval-valued fuzzy set and soft set, Comput. Math. Appl. 58, 521–527, 2009.
  • Ying, M. A new approach to fuzzy topology (I), Fuzzy Sets and Systems 39, 303–321, 1991.
  • Zadeh, L.A. Fuzzy sets, Information and Control 8, 338–353, 1965.
There are 20 citations in total.

Details

Primary Language Turkish
Authors

Banu Pazar Varol This is me

- - This is me

Er Shostak This is me

Halis Aygün This is me

Publication Date May 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 5

Cite

APA Varol, B. P., -, -, Shostak, E., Aygün, H. (2012). A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics, 41(5), 731-741.
AMA Varol BP, -, Shostak E, Aygün H. A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics. May 2012;41(5):731-741.
Chicago Varol, Banu Pazar, - -, Er Shostak, and Halis Aygün. “A New Approach to Soft Topology”. Hacettepe Journal of Mathematics and Statistics 41, no. 5 (May 2012): 731-41.
EndNote Varol BP, - -, Shostak E, Aygün H (May 1, 2012) A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics 41 5 731–741.
IEEE B. P. Varol, - -, E. Shostak, and H. Aygün, “A New Approach to Soft Topology”, Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, pp. 731–741, 2012.
ISNAD Varol, Banu Pazar et al. “A New Approach to Soft Topology”. Hacettepe Journal of Mathematics and Statistics 41/5 (May2012), 731-741.
JAMA Varol BP, - -, Shostak E, Aygün H. A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics. 2012;41:731–741.
MLA Varol, Banu Pazar et al. “A New Approach to Soft Topology”. Hacettepe Journal of Mathematics and Statistics, vol. 41, no. 5, 2012, pp. 731-4.
Vancouver Varol BP, - -, Shostak E, Aygün H. A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics. 2012;41(5):731-4.

For more information about the journal, please visit: https://dergipark.org.tr/en/pub/hujms