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A New Approach to Soft Topology

Year 2012, Volume: 41 Issue: 5, 731 - 741, 01.05.2012
https://izlik.org/JA68SJ85LT

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
https://izlik.org/JA68SJ85LT

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
IZ https://izlik.org/JA68SJ85LT
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. https://izlik.org/JA68SJ85LT
AMA 1.Varol BP, -, Shostak E, Aygün H. A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics. 2012;41(5):731-741. https://izlik.org/JA68SJ85LT
Chicago Varol, Banu Pazar, - -, Er Shostak, and Halis Aygün. 2012. “A New Approach to Soft Topology”. Hacettepe Journal of Mathematics and Statistics 41 (5): 731-41. https://izlik.org/JA68SJ85LT.
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 [1]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, May 2012, [Online]. Available: https://izlik.org/JA68SJ85LT
ISNAD Varol, Banu Pazar - -, - - Shostak, Er - Aygün, Halis. “A New Approach to Soft Topology”. Hacettepe Journal of Mathematics and Statistics 41/5 (May 1, 2012): 731-741. https://izlik.org/JA68SJ85LT.
JAMA 1.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, May 2012, pp. 731-4, https://izlik.org/JA68SJ85LT.
Vancouver 1.Banu Pazar Varol, - -, Er Shostak, Halis Aygün. A New Approach to Soft Topology. Hacettepe Journal of Mathematics and Statistics [Internet]. 2012 May 1;41(5):731-4. Available from: https://izlik.org/JA68SJ85LT