New Boundary Sets In Fuzzy Topological Spaces

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2021 by IJMTT Journal
Volume-67 Issue-4
Year of Publication : 2021
Authors : Dr.Shivappa. S.Siddapur
  10.14445/22315373/IJMTT-V67I4P512

MLA

MLA Style: Dr.Shivappa. S.Siddapur  "New Boundary Sets In Fuzzy Topological Spaces" International Journal of Mathematics Trends and Technology 67.4 (2021):88-95. 

APA Style: Dr.Shivappa. S.Siddapur(2021). New Boundary Sets In Fuzzy Topological Spaces International Journal of Mathematics Trends and Technology, 88-95.

Abstract
In this paper, boundary closed fuzzy sets have been introduced and studied. Among many other results it is observed that every closed fuzzy set is boundary closed and that every fuzzy boundary space is fuzzy-T1/2 but not conversely. Further fuzzy b-closure and fuzzy b-interior concepts have been investigated.

Reference 

[1] Levine, Generalized closed sets in topological spaces, Rend.circMat.Palermo (3)19(1970)
[2] S.P.Arya and T.Nour, Indian J.Pureappl.Math21 (1990)717-19
[3] S.G.CrossleyandS.K.Hildebrand, Semi topological properties, Fund.math,74(1972),233-254.
[4] J.Dontchev, On-generalizing-semi-preopesets, Univ.Ser.A.Math.,16(1995),35-48.
[5] H.Maki, J.Umehara and T.Noiri, Every Topological space is pre T½ mem Fac sci, Kochi univ,Math ,17 1996,33-42.
[6] S.R.Malgan, Generalized closed maps,J.Karnatak University,sci 27 (1982),82-88.
[7] N.Palaniappan and K.C.Rao, Regular generalized closed Sets ,Kyungpook, Math. J., 33(2)(1993), 211-219.
[8] A.Noiri,a-generalization-of-closed-mappings,atti,acad.naz.lincei rend.cl.scifis.mat.natur.,54(1973),412-415.
[9] Dunham, a new closure operator for non-T1 topologies, Kyungpook math j., 22(1982),55-60.
[10] P.Sundram and Sheik John,on w-closed sets in topology,acta ciencia Indica 4(2000), 389-392
[11] L.A.Zadeh, Fuzzy sets, Information and control,8(1965) 338-353.
[12] A.N.Zahren, J. Fuzzy math 2 (1994),579-586.
[13] G.J.Klir,B.Yuan, fuzzy sets and fuzzy logic theory and application,PHI(1957).
[14] C.L.Chang,Fuzzy topological spaces,JI.Math.Anal.Appl.,24(1968),182-190
[15] Boundary of a fuzzy set, Indian University mathematics Journal Vol.26,No.2(1977)
[16] R.S.Wali and Vivekananda Dembre, on pre generalized pre regular weakly closed sets in topological spaces, Journal of computer and Mathematical science Vol 6 , issue 2, 28 Feb 2015.

Keywords : Fuzzy sets, Fuzzy open sets, Fuzzy Closed sets, and Fuzzy Boundary sets