Portal de Periódicos da CAPES

Soft θ<SUB>ω</SUB>-Open Sets and Soft θ<SUB>ω</SUB> -Continuity

2022; Volume: 22; Issue: 1 Linguagem: Inglês

10.5391/ijfis.2022.22.1.89

2093-744X

SamerAl Ghour,

Fuzzy and Soft Set Theory

The soft θ ω -closure operator is defined as a new soft operator that lies strictly between the usual soft closure and the soft θ-closure.Sufficient conditions are provided for equivalence between the soft θ ω -closure and usual soft closure operators, and between the soft θ ω -closure and soft θ-closure operators.Via the soft θ ω -closure operator, the soft θ ω -open sets are defined as a new class of soft sets that lies strictly between the class of soft open sets and the class of soft θ-open sets.It is proven that the class of soft θ ω -open sets form a new soft topology.The soft ω-regularity is characterized via both the soft θ ω -closure operator and soft θ ω -open sets.The soft product theorem and several soft mapping theorems are introduced.The correspondence between the soft topology of the soft θ ω -open sets of soft topological space and their generated topological spaces, and vice versa, are studied.In addition to these, soft θ ω -continuity as a strong form of soft θ-continuity is introduced and investigated.