SOME RESULTS ON SEMI OPEN SETS IN FUZZIFYING BITOPOLOGICAL SPACES

Authors : Ahmed Abd El-monsef Allam, Ahmed Mohammed Zahran, Ahmed Khalf Mousa, Hana Mohsen Binshahnah

Pages : 59-75

View : 17 | Download : 11

Publication Date : 2016-09-01

Article Type : Research

Abstract :Abstaract−In the present paper, we introduce and study the concepts of (i, j)−semi open set and (i, j)−semi neighborhood system in fuzzifying bitopological spaces. Also, the concepts of (i, j)−semi derived set and (i, j)−semi closure, (i, j)−semi interior, (i, j)−semi exterior, (i, j)−semi boundary operators in fuzzifying bitopological spaces are introduced and studied. Furthermore, we introduce and study the concepts of (i, j)−semi convergence of nets and (i, j)−semi convergence of filters in fuzzifying bitopological spaces
Keywords : −Semiopen sets, Fuzzifying topology, fuzzifying bitopological space