SOFT π-OPEN SETS IN SOFT GENERALIZED TOPOLOGICAL SPACES

Jyothis Thomas; Sunil Jacob John

Makale detayları

SOFT π-OPEN SETS IN SOFT GENERALIZED TOPOLOGICAL SPACES

Yazarlar:

Jyothis Thomas | Sunil Jacob John

Yayıncı:

Tokat Gaziosmanpasa University

Dergi:

Journal of New Theory 2015 Issue 5, pp.53-66

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000491330

Sıklık:

Üç Aylık

pISSN:

2149-1402

Özet:

 

The main purpose of this paper is to study some interesting properties of the soft mapping
 π : S(U)E → S(U)E which satisfy the condition πFB ⊂ πFD whenever FB ⊂ FD ⊂ ̃. A new class of
 generalized soft open sets, called soft π-open sets is introduced and studied their basic properties. A soft set
 FG ⊂ ̃ is said to be a soft π-open set iff FG ⊂ πFG. The notions of soft interior and soft closure are
 generalized using these sets. We then introduce the concepts of soft π-interior iπFG, soft π-closure cπFG, soft
 π*FG of a soft set FG ⊂ ̃. Under suitable conditions on π, the soft π-interior iπFG and the soft π-closure cπFG
 of a soft set FG ⊂ ̃ are easily obtained by explicit formulas. The soft μ-semi-open sets, soft μ-pre-open sets,
 soft μ-α-open sets and soft μ-β-open sets for a given Soft Generalized Topological Space ( ̃, μ) can be
 obtained from soft π-open sets which are important for further research on soft generalized topology.

Makale detayları

SOFT π-OPEN SETS IN SOFT GENERALIZED TOPOLOGICAL SPACES

Yazarlar: Jyothis Thomas | Sunil Jacob John

Yayıncı: Tokat Gaziosmanpasa University

Dergi: Journal of New Theory 2015 Issue 5, pp.53-66

Belge Tipi: Makale

Yayın Tarihi: 5/2015

Belge Dili: Türkçe

Document ID (Org No.): 2000491330

Sıklık: Üç Aylık

pISSN: 2149-1402

Sayı

Yazarlar:

Jyothis Thomas | Sunil Jacob John

Yayıncı:

Tokat Gaziosmanpasa University

Dergi:

Journal of New Theory 2015 Issue 5, pp.53-66

Belge Tipi:

Makale

Yayın Tarihi:

5/2015

Belge Dili:

Türkçe

Document ID (Org No.):

2000491330

Sıklık:

Üç Aylık

pISSN:

2149-1402