Exploration of pre-open sets in a fuzzy bitopological space via operation approach

Satabdi  Ray; Birojit Das; Baby Bhattacharya; Omer Kisi

doi:10.5269/bspm.66079

Satabdi Ray
Birojit Das
Baby Bhattacharya
Omer Kisi

Résumé

In this article, we propose an operation $(i,j)^*_\gamma$ on the set of all $(i,j)^*$-fuzzy pre-open set in a given fuzzy bitopological space $(X,\tau_i,\tau_j )$. Using the newly introduced operation, we initiate the $(i,j)^*_\gamma$-fuzzy preopen set and characterize it upto some extent. Also, we explore $(i,j)^*$-fuzzy pre-open set in the light of minimality. Finally, we study locally finiteness of a fuzzy bitopological space via $(i,j)^*_\gamma$-fuzzy open set.

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