SciELO - Scientific Electronic Library Online

 
vol.38 issue3Controllability of affine systems on free Nilpotent Lie groups Gm,ᵣRadius problem for the class of analytic functions based on Ruscheweyh derivative author indexsubject indexarticles search
Home Pagealphabetic serial listing  

Services on Demand

Journal

Article

Indicators

Related links

  • On index processCited by Google
  • Have no similar articlesSimilars in SciELO
  • On index processSimilars in Google

Share


Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

DAS, Birojit et al. A new type of generalized closed set via γ-open set in a fuzzy bitopological space. Proyecciones (Antofagasta) [online]. 2019, vol.38, n.3, pp.511-536. ISSN 0716-0917.  http://dx.doi.org/10.22199/issn.0717-6279-2019-03-0033.

This paper aims to present the notion of (i, j)*-fuzzy γ-open set in a fuzzy bitopological space as a parallel form of (i, j)-fuzzy γ-open set due to Tripathy and Debnath (2013) [17] and show that both of them are independent concepts. Then we extend our study to (i, j)*-generalized fuzzy γ-closed set and (i, j)*-γ-generalized fuzzy closed set. We show that (i, j)*-γ-generalized fuzzy closed set and (i, j)*-generalized fuzzy γ-closed set are also independent of each other in nature. Though every (i, j)*-fuzzy γ-closed set is a (i, j)*-generalized fuzzy γ-closed set but with (i, j)*-γ-generalized fuzzy closed set, the same relation is not linear. Similarly though every (i, j)*-fuzzy closed set is (i, j)*-γ-generalized fuzzy closed set but it is independent to (i, j)*-generalized fuzzy γ-closed set. Various properties related to (i, j)*-generalized fuzzy γ-closed set are also studied. Finally, (i, j)*-generalized fuzzy γ-continuous function and (i, j)*-generalized fuzzy γ-irresolute functions are introduced and interrelationships among them are established. We characterized these functions in different directions for different applications.

Keywords : (i, j)*-fuzzy γ-open set; (i, j)*-generalized fuzzy γ-closed set; (i, j)*-γ-generalized fuzzy closed set; (i, j)*-generalized fuzzy γ-continuous function; (i, j)*-generalized fuzzy γ-irresolute function.

        · text in English     · English ( pdf )