Volume 67 | Issue 4 | Year 2021 | Article Id. IJMTT-V67I4P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V67I4P512
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.
[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.
Dr.Shivappa, S.Siddapur, "New Boundary Sets In Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 67, no. 4, pp. 88-95, 2021. Crossref, https://doi.org/10.14445/22315373/IJMTT-V67I4P512