The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Some Fuzzy Soft Topological Properties Based on Fuzzy B-Open Soft Sets


Affiliations
1 Department of Mathematics, Ain Shams University, Roxy, 11341, Cairo, Egypt
     

   Subscribe/Renew Journal


Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. In this paper, we investigate more properties of fuzzy b-open (closed) soft sets and fuzzy b-soft interior (closure). Also, we introduce the notions of fuzzy b-continuous (open) soft functions and fuzzy soft b-separation axioms, which are basic for further research on fuzzy soft topology and will fortify the footing of the theory of fuzzy soft topological space.

Keywords

Fuzzy Soft Topological Space, Fuzzy B-Continuous Soft Functions, Fuzzy Soft b-Ti-spaces (i = 1; 2; 3; 4), Fuzzy Soft B-Regular, Fuzzy Soft B-normal.
Subscription Login to verify subscription
User
Notifications
Font Size


  • A. M. Abd El-latif, Characterizations of fuzzy soft pre separation axioms, J. New Theory, 7 (2015), 47-63.

  • A. M. Abd El-latif, Fuzzy soft separation axioms based on fuzzy-open soft sets, Ann. Fuzzy Math. Inform., 11 (2) (2015), 233-239.

  • Rodyna A. Hosny and A. M. Abd El-latif, Fuzzy soft connectedness based on fuzzy b-open soft sets, J. New theory, 11 (2016), 1-15.

  • A. M. Abd El-latif and Rodyna A. Hosny, On Soft Separation Axioms via Fuzzy -Open Soft Sets, Inf. Sci. Lett., 5 (1) (2016), 1-9.

  • B. Ahmad and A. Kharal, Mappings on fuzzy soft classes, Adv. Fuzzy Syst. 2009, Art. ID 407890, 6 pp.

  • Bakir Tanay and M. Burcl Kandemir, Topological structure of fuzzy soft sets, Comput. Math. Appl., (61)(2011), 2952-2957.

  • C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 182-190.

  • S. A. El-Sheikh and A. M. Abd El-latif, Characterization of b-open soft sets in soft topological spaces, J. New Theory, 2 (2015), 8-18.

  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif-operation and decompositions of some forms of soft continuity in soft topological spaces, Ann. Fuzzy Math. Inform., 7 (2) (2014), 181-196.

  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Soft ideal theory, Soft local function and generated soft topological spaces, Appl. Math. Inf. Sci., 8 (4) (2014), 1595-1603.

  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Soft semi separation axioms and irresolute soft functions, Ann. Fuzzy Math. Inform., 8 (2) (2014), 305-318.

  • A. Kandil, O. A. E. Tantawy, S. A. El-Sheikh and A. M. Abd El-latif, Some fuzzy soft topological properties based on fuzzy semi open soft sets, South Asian J. Math., 4 (4) (2014), 154-169.

  • J. Mahanta and P. K. Das, Results on fuzzy soft topological spaces, arXiv:1203.0634v1,2012.

  • P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9 (3) (2001), 589-602.

  • D. Molodtsov, Soft set theory-rs tresults, Comput. Math. Appl., 37 (1999), 19-31.

  • B. Pazar Varol and H. Aygun, Fuzzy soft topology, Hacettepe J. Math. and Statistics, 41 (3) (2012), 407-419.

  • S. Roy and T. K. Samanta, A note on fuzzy soft topological spaces, Ann. Fuzzy Math. Inform., 3 (2) (2012), 305-311.

  • S. Roy and T. K. Samanta, An introduction to open and closed sets on fuzzy topological spaces, Ann. Fuzzy Math. Inform., 6 (2) (2012), 425-431.

  • B. Tanay and M. B. Kandemir, Topological structure of fuzzy soft sets, Computer and Math. Appl., 61 (2011), 412-418.

  • L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.


Abstract Views: 403

PDF Views: 0




  • Some Fuzzy Soft Topological Properties Based on Fuzzy B-Open Soft Sets

Abstract Views: 403  |  PDF Views: 0

Authors

A. M. Abd El-Latif
Department of Mathematics, Ain Shams University, Roxy, 11341, Cairo, Egypt

Abstract


Soft set is a completely generic mathematical tool for modeling uncertainties. Topology is a branch of mathematics, whose concepts exist not only in almost all branches of mathematics, but also in many real life applications. In this paper, we investigate more properties of fuzzy b-open (closed) soft sets and fuzzy b-soft interior (closure). Also, we introduce the notions of fuzzy b-continuous (open) soft functions and fuzzy soft b-separation axioms, which are basic for further research on fuzzy soft topology and will fortify the footing of the theory of fuzzy soft topological space.

Keywords


Fuzzy Soft Topological Space, Fuzzy B-Continuous Soft Functions, Fuzzy Soft b-Ti-spaces (i = 1; 2; 3; 4), Fuzzy Soft B-Regular, Fuzzy Soft B-normal.

References