On Fuzzy Λ γ -Sets and their Applications
Abstract The notion of Λ-fuzzy set was introduced by M. E. EI-Shafei and A. Zakari in 2006 ((20)). We examine some basic properties of it and prove some characterization theorems for the same. The paper presents a new class of fuzzy sets called fuzzy Λγ-sets that includes...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2019
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oai:scielo:S0716-091720190002002372019-05-30On Fuzzy Λ γ -Sets and their ApplicationsBhattacharya,BabyPaul,ArnabChakraborty,Jayasree Fuzzy γ-open set Fuzzy independent topology FuzzyΛb-set Fuzzy Λγ-set Fuzzy Λb-continuity Fuzzy Λγ-closed set. Abstract The notion of Λ-fuzzy set was introduced by M. E. EI-Shafei and A. Zakari in 2006 ((20)). We examine some basic properties of it and prove some characterization theorems for the same. The paper presents a new class of fuzzy sets called fuzzy Λγ-sets that includes the class of all fuzzy γ-open sets. It also introduces the notion of fuzzy Vγ-sets as the dual concept of fuzzy Λγ sets to study the spaces constituted by those sets and obtain a completely different structure which is called fuzzy independent Alexandorff space. A stronger form of fuzzy Λb - continuity ((2)) called fuzzy Λγ-continuity is introduced and the relationships are also established with the already existing functions accordingly. Finally, fuzzy Λγ-Generalized closed sets are defined and studied with some of their applications.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.38 n.2 20192019-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200237en10.4067/S0716-09172019000200237 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Fuzzy γ-open set Fuzzy independent topology FuzzyΛb-set Fuzzy Λγ-set Fuzzy Λb-continuity Fuzzy Λγ-closed set. |
| spellingShingle |
Fuzzy γ-open set Fuzzy independent topology FuzzyΛb-set Fuzzy Λγ-set Fuzzy Λb-continuity Fuzzy Λγ-closed set. Bhattacharya,Baby Paul,Arnab Chakraborty,Jayasree On Fuzzy Λ γ -Sets and their Applications |
| description |
Abstract The notion of Λ-fuzzy set was introduced by M. E. EI-Shafei and A. Zakari in 2006 ((20)). We examine some basic properties of it and prove some characterization theorems for the same. The paper presents a new class of fuzzy sets called fuzzy Λγ-sets that includes the class of all fuzzy γ-open sets. It also introduces the notion of fuzzy Vγ-sets as the dual concept of fuzzy Λγ sets to study the spaces constituted by those sets and obtain a completely different structure which is called fuzzy independent Alexandorff space. A stronger form of fuzzy Λb - continuity ((2)) called fuzzy Λγ-continuity is introduced and the relationships are also established with the already existing functions accordingly. Finally, fuzzy Λγ-Generalized closed sets are defined and studied with some of their applications. |
| author |
Bhattacharya,Baby Paul,Arnab Chakraborty,Jayasree |
| author_facet |
Bhattacharya,Baby Paul,Arnab Chakraborty,Jayasree |
| author_sort |
Bhattacharya,Baby |
| title |
On Fuzzy Λ γ -Sets and their Applications |
| title_short |
On Fuzzy Λ γ -Sets and their Applications |
| title_full |
On Fuzzy Λ γ -Sets and their Applications |
| title_fullStr |
On Fuzzy Λ γ -Sets and their Applications |
| title_full_unstemmed |
On Fuzzy Λ γ -Sets and their Applications |
| title_sort |
on fuzzy Λ γ -sets and their applications |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2019 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172019000200237 |
| work_keys_str_mv |
AT bhattacharyababy onfuzzy923947setsandtheirapplications AT paularnab onfuzzy923947setsandtheirapplications AT chakrabortyjayasree onfuzzy923947setsandtheirapplications |
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