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FUZZY SOFT QUASI SEPARATION AXIOMS

Year 2020, Volume: 10 Issue: 1, 102 - 110, 01.01.2020

Abstract

In this work, we focus on fuzzy soft quasi separation axioms and give some new results about the concept of quasi coincidence with fuzzy soft sets de ned in [17]. Further, we give relations between fuzzy soft quasi Ti- i = 0; 1; 2 spaces and fuzzy quasi Ti- i = 0; 1; 2 spaces.

References

  • Ahmad, B. and Kharal, A., (2009). On fuzzy soft sets, Adv. Fuzzy Syst., doi:10.1155/2009/586507.
  • Aktas, H. and Cagman, N., (2007). Soft sets and soft groups, Inform. Sci., 77, 2726-2735.
  • Atmaca, S. and Zorlutuna, I., (2013). On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 5(2), 377-386.
  • Aygunoglu, A. and Aygun, H., (2009). Introduction to fuzzy soft group, Comput. Math. Appl., 58, 1279-1286.
  • Feng, F., Changxing, L., Davvaz, B. and Irfan Ali, M., (2010). Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, 14(9), 889-911.
  • Ghanim, M.H., Tantawy, O.A., Selim Fawzia, M., (1997). On Lower Seperation Axioms, Fuzzy Sets and Systems, 85(3), 385-389.
  • Irfan Ali, M. and Shabir, M., (2010). Comments on De Morgan’s Law in Fuzzy Soft Sets,The Journal of Fuzzy Mathematics, 18(3), 679-686.
  • Kharal, A. and Ahmad, B., (2009). Mappings on fuzzy soft classes, Hindawi Publishing Corporation Advances in Fuzzy Systems, doi:10.1155/2009/407890.
  • Kong, Z., Gao, L. and Wang, L., (2009). A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math., 223, 540-542.
  • Maji, P.K., Roy, A.R. and Biswas, R., (2001). Fuzzy soft sets, J. Fuzzy Math., 9(3), 589-602.
  • Molodtsov, D., (1999). Soft set theory-First results, Comput. Math. Appl., 37(4-5), 19-31.
  • Neog, T.J., Sut, D.K. and Hazarika, G.C., (2012). Fuzzy Soft Topological Spaces, Int. J. Latest Trend Math., 2(1), 54-67.
  • Pazar Varol, B. and Aygn, H., (2012). Fuzzy Soft Topology, Hacettepe Journal of Mathematics and Statistics, 41(3), 407-419.
  • Pawlak, Z., (1982). Rough Sets, International Journal of Computer Science, 11, 341-356.
  • Roy, S. and Samanta, T.K., (2012). A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3, 305-311.
  • Shabir, M. and Naz, M., (2011). On soft topological spaces, Comput. Math. Appl., 61, 1786-1799.
  • Dizman (Simsekler), T.H. and Yuksel, S., (2012). Fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 5(1) (2012) 87-96.
  • Tanay, B. and Kandemir, M.B., (2011). Topological structure of fuzzy soft sets, Comput. Math. Appl., 61, 2952-2957.
  • Zadeh, L.A., (1965). Fuzzy sets, Inform. Control., 8, 338-353.
Year 2020, Volume: 10 Issue: 1, 102 - 110, 01.01.2020

Abstract

References

  • Ahmad, B. and Kharal, A., (2009). On fuzzy soft sets, Adv. Fuzzy Syst., doi:10.1155/2009/586507.
  • Aktas, H. and Cagman, N., (2007). Soft sets and soft groups, Inform. Sci., 77, 2726-2735.
  • Atmaca, S. and Zorlutuna, I., (2013). On fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 5(2), 377-386.
  • Aygunoglu, A. and Aygun, H., (2009). Introduction to fuzzy soft group, Comput. Math. Appl., 58, 1279-1286.
  • Feng, F., Changxing, L., Davvaz, B. and Irfan Ali, M., (2010). Soft sets combined with fuzzy sets and rough sets: a tentative approach, Soft Computing, 14(9), 889-911.
  • Ghanim, M.H., Tantawy, O.A., Selim Fawzia, M., (1997). On Lower Seperation Axioms, Fuzzy Sets and Systems, 85(3), 385-389.
  • Irfan Ali, M. and Shabir, M., (2010). Comments on De Morgan’s Law in Fuzzy Soft Sets,The Journal of Fuzzy Mathematics, 18(3), 679-686.
  • Kharal, A. and Ahmad, B., (2009). Mappings on fuzzy soft classes, Hindawi Publishing Corporation Advances in Fuzzy Systems, doi:10.1155/2009/407890.
  • Kong, Z., Gao, L. and Wang, L., (2009). A fuzzy soft set theoretic approach to decision making problems, J. Comput. Appl. Math., 223, 540-542.
  • Maji, P.K., Roy, A.R. and Biswas, R., (2001). Fuzzy soft sets, J. Fuzzy Math., 9(3), 589-602.
  • Molodtsov, D., (1999). Soft set theory-First results, Comput. Math. Appl., 37(4-5), 19-31.
  • Neog, T.J., Sut, D.K. and Hazarika, G.C., (2012). Fuzzy Soft Topological Spaces, Int. J. Latest Trend Math., 2(1), 54-67.
  • Pazar Varol, B. and Aygn, H., (2012). Fuzzy Soft Topology, Hacettepe Journal of Mathematics and Statistics, 41(3), 407-419.
  • Pawlak, Z., (1982). Rough Sets, International Journal of Computer Science, 11, 341-356.
  • Roy, S. and Samanta, T.K., (2012). A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3, 305-311.
  • Shabir, M. and Naz, M., (2011). On soft topological spaces, Comput. Math. Appl., 61, 1786-1799.
  • Dizman (Simsekler), T.H. and Yuksel, S., (2012). Fuzzy soft topological spaces, Annals of Fuzzy Mathematics and Informatics 5(1) (2012) 87-96.
  • Tanay, B. and Kandemir, M.B., (2011). Topological structure of fuzzy soft sets, Comput. Math. Appl., 61, 2952-2957.
  • Zadeh, L.A., (1965). Fuzzy sets, Inform. Control., 8, 338-353.
There are 19 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

T. H. Dizman (şimşekler) This is me

N. Demirtaş (tozlu) This is me

Ş. Yuksel This is me

Publication Date January 1, 2020
Published in Issue Year 2020 Volume: 10 Issue: 1

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